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GLENN ELLISON: Welcome to class.

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So this is 14.271.

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I should say that syllabus has
a bunch of basic information.

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You'll notice the
course is listed

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as co-taught by me and Tobias.

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COVID permitting, I'm
going to be doing most

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of the lecturing in this class.

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I think the plan is I'll be
doing 21 of the lectures,

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Tobias will be doing four,
Jean Tirole will be doing two.

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And it's a basic course in
industrial organization.

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I think these days, my primary
responsibility in this class

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is to teach students
who are going

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to write their thesis in
industrial organization what

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they need to do to
write an IO thesis.

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But the course has also
traditionally been useful

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for many students
in other fields.

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I think that's for two reasons.

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One is IO has always been at
the forefront in economics

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and linking theory
and empirics together.

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And then also in
recent years, IO

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has developed a
lot of techniques

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for what's referred
to as structural,

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empirical industrial
organization, which

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have become very, very
popular in other fields.

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Anyway.

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So my goal here is really to
teach the basics of IO theory

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and how IO people think
about empirical work, which

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is sometimes different
from how empirical work is

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done in different fields.

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The way I'm going to do that
is you'll see on the syllabus

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we've got 12 topics or
whatever we're going to cover.

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Almost all of them are going
to get covered in two lectures.

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And typically in the first
part of the semester,

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the pattern is going
to be on Wednesday,

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I'm going to explain
the theory of a topic.

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I'm going to go over the
basic theory on a topic.

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And then on the Monday,
I'm going to go over

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the empirical work on a topic.

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And my basic view of IO is IO is
just an inherently theoretical

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field.

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There are many fields
in which empirical work

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and natural experiments
testing policies

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are what you want to do
in studying that field.

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In IO, the questions
we get asked are

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should Facebook be required
to divest itself of Instagram?

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Or is it OK for Google to be
paying Apple $12 billion a year

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to make Google the default
search engine on iPhones?

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And these are not things
that can be addressed

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with natural experiments.

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You can't create
100 different worlds

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and break up Facebook and
Instagram in half of them

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and not break up Facebook and
Instagram in the other half

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of them and then do a comparison
of means 10 years later

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and see which was
the right decision.

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It's a one time decision
that will get made or not.

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And so you basically
make decisions like that.

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You need to have a
theoretical understanding

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of how the world works and how
firms competing with other firms

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work and what do you think
would happen on the two

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different market structures.

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And then you may never find
out if you were right or wrong.

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While I think IO is inherently
a theoretical field, almost

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all students getting good
jobs in IO in the last 15,

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20 years are doing empirical IO.

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And in part, this is because
what happens is people in IO

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make up models.

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And the question is you
can make up models that

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predict all kinds of things.

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Then you have to ask which
model's assumptions are

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correct in terms of how people
behave, how firms behave,

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and how large are those
effects empirically.

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And so what typically happens,
there's a lot of interplay in IO

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between you develop
a theory, you then

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do empirical work that tries
to examine the theory in places

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where it should
or shouldn't work,

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and you find out how
important are the effects

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the different models predict.

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Are the assumptions and
models good or should we

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be looking at what-- in some
sense, in any good IO empirical

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work, something doesn't fit.

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And then what
doesn't fit gives you

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the idea of how do you
refine the model, what

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else should be
added to the model

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to get a better
predictive model.

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So let me go ahead
and get started.

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And I'm going to get started--

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I should say normally
when you design a class,

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you want to have the first
class be really exciting

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and have something intriguing
for students to get hooked

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on the class.

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That's not the case with IO.

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I have to start at square one.

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I have to start with
monopoly pricing.

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I'm sure many of you have
seen monopoly pricing

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in your undergraduate
intermediate micro or principles

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classes.

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But I'm going to start with
the beginning with monopolies

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pricing and then
build from there.

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So anyway, first class.

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So this is 14.01.

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Monopoly seller of
a single product.

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In this class, I'm
generally going

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to be putting quantity on the
x-axis and price on the y-axis.

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So a monopolist has
this downward facing,

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this inverse demand curve
p of x if it sells x units.

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Monopolist has a total
cost function c of x.

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So if they produce x units,
the total cost of production

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is c of x.

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What does the monopolist do?

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You've seen this many
times, you maximize over

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x, x times p of x minus c of x.

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I take the first
order condition and I

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get this familiar equation.

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Marginal revenue minus
marginal cost equals 0.

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So the monopolist sets marginal
revenue equal to marginal cost.

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Why am I starting here?

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Well, even in IO, we do
things a little differently.

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The way people typically think
about this first order condition

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is instead of putting marginal
revenue on the left and marginal

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cost on the right, I'm going to
take price minus marginal cost

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and move the minus x p prime
at x to the other side.

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And then I divide
both sides by p

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of x and I get price minus
marginal cost over price

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equals this.

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And what's over here
on the right side?

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p prime at x, x over p of x.

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So you can think of that as
x over p of x, 1 over p prime

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at x.

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And then if you think about
the inverse function theorem,

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1 over p prime at x is
kind of like dq / dp.

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Because p is the--

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if you think about p as
the inverse function of q,

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so this is like x
over p prime at x.

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And so if I divide this,
dq / dp times p over q,

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this is the
elasticity of demand.

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So what a monopolist
does is it sets its price

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so that price minus
marginal cost over price

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is the negative of 1 over
the elasticity of demand.

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And I start here because
in macroeconomics, they

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seem to have this thing
that when demand goes up,

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price goes up, and when demand
goes down, price goes down.

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That doesn't happen in IO.

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When you think about
firms with market power,

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pricing is based on demand
elasticities, not demand levels.

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And on this left side, this
is something that in IO we

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call it the Lerner index.

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Ignoring the marginal
versus average,

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this is like what accountants
would call the gross margin.

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This is the markup
that you're charging

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as a fraction of the price.

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So if you charge double
your marginal cost, that's

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a 50% markup, because 50%
of your price is markup,

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50% is cost.

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So this says the Lerner
index is negative of 1

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over the elasticity of demand.

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So if, for instance, the
elasticity of demand is--

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if epsilon is negative 2, then
this would say you do price

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minus marginal cost
over price is 1/2.

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So if you're a monopolist,
your elasticity of demand is 2.

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Your margin is 50%.

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You double your
marginal cost when you

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think of your monopoly price.

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If your elasticity is 4, you
do your 25% Lerner index.

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Lerner index is 1/4, which means
you're raising your price by 1/3

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over cost.

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In 14.01, you certainly also
did a diagram like this.

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So what happens?

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Firm sets marginal revenue
equal to marginal cost.

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They have this monopoly price.

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They earn a profit
on all the units

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they sell at a
cost that's greater

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than the cost of producing them.

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And so this is the profit.

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This is the difference between
the consumer willingness

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to pay for each unit and
the price that they've paid.

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So this is consumer surplus.

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This is deadweight loss.

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Typically, a lot of IO is about
market power is a bad thing.

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We want to prevent market power.

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Why do we want to
prevent market power?

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Classic explanation for why you
want to prevent market power

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is this triangle.

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You have this deadweight loss
is a social inefficiency.

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People are willing to
pay more than the cost

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of producing the goods,
and yet those goods

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don't get produced
and sold to them.

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That's socially
wasteful that we have

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these opportunities for gains
from trade that aren't realized.

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While people often focus
on deadweight loss,

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there are a lot of other
reasons why you might think

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monopolies are also a bad idea.

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So many of these are harder to
actually explain economically,

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to realize I think they
should be recurring.

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But one thing you
hear people talk about

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is productive inefficiency.

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Certainly the question
is, are monopolists

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going to produce things at
the lowest cost possible?

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Your basic intuition
should be yes.

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Monopolist gets
all the extra money

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they make from cost savings.

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So monopolists ought to
want to produce the most

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efficient technology possible.

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There are lots of
discussions, though.

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If you think about
the old Soviet Union,

00:09:42.830 --> 00:09:45.020 align:middle line:84%
they had factories making
things out of titanium

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that could have been made
out of steel and that cost

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5 times as much as
they cost in the West.

00:09:48.960 --> 00:09:50.110 align:middle line:90%
Why did that happen?

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Well, one thing that
you hear is that if you

00:09:52.772 --> 00:09:54.980 align:middle line:84%
have a firm that's a monopoly,
they don't have anyone

00:09:54.980 --> 00:09:56.140 align:middle line:90%
to compare themselves to.

00:09:56.140 --> 00:09:59.420 align:middle line:84%
They don't realize there are
better production technologies.

00:09:59.420 --> 00:10:01.580 align:middle line:84%
Employees can be
lazy in figuring out

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how to produce things and
no one ever catches them.

00:10:04.020 --> 00:10:08.330 align:middle line:84%
So productive inefficiency
could be a cost of monopoly.

00:10:08.330 --> 00:10:09.900 align:middle line:90%
Quality distortions.

00:10:09.900 --> 00:10:12.360 align:middle line:84%
Again, this is more
an informal complaint.

00:10:12.360 --> 00:10:14.720 align:middle line:84%
But people look at
Microsoft Windows

00:10:14.720 --> 00:10:18.050 align:middle line:84%
and are often thinking of
30 different criticisms

00:10:18.050 --> 00:10:20.580 align:middle line:84%
of Microsoft Windows and why
does it suck in so many ways.

00:10:20.580 --> 00:10:21.840 align:middle line:90%
Why can't Excel do this?

00:10:21.840 --> 00:10:23.280 align:middle line:90%
Why can't Excel do this?

00:10:23.280 --> 00:10:25.250 align:middle line:84%
Is it because
Microsoft is a monopoly

00:10:25.250 --> 00:10:27.960 align:middle line:84%
and has no incentive to improve
the quality of its products

00:10:27.960 --> 00:10:30.050 align:middle line:90%
because you've got to buy them?

00:10:30.050 --> 00:10:31.800 align:middle line:84%
You've got to put
Windows on your computer

00:10:31.800 --> 00:10:34.710 align:middle line:84%
anyway, even if
you don't like it.

00:10:34.710 --> 00:10:38.250 align:middle line:84%
Rent seeking is an
important thing.

00:10:38.250 --> 00:10:42.840 align:middle line:84%
Sometimes we have monopolies
for regulatory reasons

00:10:42.840 --> 00:10:45.070 align:middle line:90%
or for capacity constraints.

00:10:45.070 --> 00:10:47.370 align:middle line:84%
So, for instance,
there's a limited number

00:10:47.370 --> 00:10:53.040 align:middle line:84%
of licenses to provide cell
phone service in every city.

00:10:53.040 --> 00:10:56.177 align:middle line:84%
In the old days, when cell
phone service first started,

00:10:56.177 --> 00:10:58.260 align:middle line:84%
these were actually-- when
the United States first

00:10:58.260 --> 00:11:00.210 align:middle line:84%
adopted cell phones,
there were going

00:11:00.210 --> 00:11:02.505 align:middle line:84%
to be two licenses
in every city.

00:11:02.505 --> 00:11:04.380 align:middle line:84%
And they had what people
refer to as a beauty

00:11:04.380 --> 00:11:08.028 align:middle line:84%
contest to allocate
those licenses.

00:11:08.028 --> 00:11:09.820 align:middle line:84%
That is, firms didn't
have to pay for them.

00:11:09.820 --> 00:11:13.988 align:middle line:84%
You just had to apply to
provide cell phone service

00:11:13.988 --> 00:11:15.780 align:middle line:84%
and the government
would pick the firm that

00:11:15.780 --> 00:11:19.047 align:middle line:84%
seemed best, socially efficient
to provide the cell phone

00:11:19.047 --> 00:11:20.880 align:middle line:84%
service, and they would
award those licenses

00:11:20.880 --> 00:11:23.310 align:middle line:90%
to those winning parties.

00:11:23.310 --> 00:11:25.650 align:middle line:84%
Often these winning
parties were perhaps

00:11:25.650 --> 00:11:26.980 align:middle line:90%
not the ones you would think.

00:11:26.980 --> 00:11:28.630 align:middle line:84%
So, for instance, I don't
know if the story is true.

00:11:28.630 --> 00:11:30.090 align:middle line:84%
There's a story that
in Washington, DC,

00:11:30.090 --> 00:11:32.298 align:middle line:84%
one of the two licenses went
to Katharine Graham, who

00:11:32.298 --> 00:11:33.883 align:middle line:84%
was the editor of
the Washington Post.

00:11:33.883 --> 00:11:35.550 align:middle line:84%
Why would she know
more than anyone else

00:11:35.550 --> 00:11:36.790 align:middle line:84%
about running a
cell phone company?

00:11:36.790 --> 00:11:39.030 align:middle line:84%
Well, she ran a newspaper
that would write stories

00:11:39.030 --> 00:11:40.030 align:middle line:90%
about the politicians.

00:11:40.030 --> 00:11:41.670 align:middle line:84%
So when they're thinking of
who to give the license to,

00:11:41.670 --> 00:11:42.970 align:middle line:90%
they give it to her.

00:11:42.970 --> 00:11:45.270 align:middle line:84%
But in general, in
many situations,

00:11:45.270 --> 00:11:46.980 align:middle line:84%
you're going to
find that if there

00:11:46.980 --> 00:11:48.930 align:middle line:84%
are monopoly rents
to be given out,

00:11:48.930 --> 00:11:52.122 align:middle line:84%
someone has the power to
give out the monopoly rents.

00:11:52.122 --> 00:11:53.580 align:middle line:84%
And then when
someone has the power

00:11:53.580 --> 00:11:57.150 align:middle line:84%
to give out the monopoly
rents, those people

00:11:57.150 --> 00:11:59.770 align:middle line:84%
may take bribes from the
people who are giving them.

00:11:59.770 --> 00:12:01.590 align:middle line:84%
It may be that
you have something

00:12:01.590 --> 00:12:04.470 align:middle line:84%
akin to a political campaign
where you're doing advertising

00:12:04.470 --> 00:12:07.440 align:middle line:84%
or lobbying, and you have
all these socially wasteful

00:12:07.440 --> 00:12:12.060 align:middle line:84%
expenditures to try to be the
one who earns these profits.

00:12:12.060 --> 00:12:13.920 align:middle line:84%
If you imagine a
bidding game where

00:12:13.920 --> 00:12:18.180 align:middle line:84%
if everybody is going to give
a bribe to the politician

00:12:18.180 --> 00:12:21.852 align:middle line:84%
and the biggest bribe wins,
what's your bribe going to be?

00:12:21.852 --> 00:12:24.060 align:middle line:84%
You're willing to pay a
bribe equal to the discounted

00:12:24.060 --> 00:12:27.990 align:middle line:84%
value of all future profits
that you're going to earn.

00:12:27.990 --> 00:12:31.530 align:middle line:84%
In that game, you'd
expect all of the profits

00:12:31.530 --> 00:12:34.110 align:middle line:84%
would also then get
dissipated socially.

00:12:34.110 --> 00:12:36.450 align:middle line:84%
Well, actually, now
if it's a bribe,

00:12:36.450 --> 00:12:39.370 align:middle line:84%
you believe in efficient
markets, it's just a transfer.

00:12:39.370 --> 00:12:42.690 align:middle line:84%
And so it's just a transfer of
wealth from consumers to the one

00:12:42.690 --> 00:12:44.250 align:middle line:90%
person who's taking the bribe.

00:12:44.250 --> 00:12:48.480 align:middle line:84%
But if the bribes are given
in a socially wasteful way,

00:12:48.480 --> 00:12:53.250 align:middle line:84%
all of this could also be
a loss of monopoly power.

00:12:53.250 --> 00:12:54.900 align:middle line:84%
And then my final
comment on bribes

00:12:54.900 --> 00:12:57.010 align:middle line:84%
brings up this sort
of equity concern.

00:12:57.010 --> 00:13:00.180 align:middle line:84%
Another problem with monopoly
is that in a competitive market,

00:13:00.180 --> 00:13:01.650 align:middle line:84%
the consumers will
be paying this.

00:13:01.650 --> 00:13:03.510 align:middle line:84%
In a monopoly,
they're paying this.

00:13:03.510 --> 00:13:04.870 align:middle line:90%
Consumers paying more.

00:13:04.870 --> 00:13:07.480 align:middle line:84%
It's a transfer from
consumers to firms.

00:13:07.480 --> 00:13:09.810 align:middle line:84%
If you believe that the
consumers have a higher

00:13:09.810 --> 00:13:12.090 align:middle line:84%
marginal utility of income
than the shareholders

00:13:12.090 --> 00:13:14.815 align:middle line:84%
of the firm, that's
also a concern

00:13:14.815 --> 00:13:15.940 align:middle line:90%
we should be worried about.

00:13:15.940 --> 00:13:18.070 align:middle line:84%
I should say that in IO,
I mentioned that today,

00:13:18.070 --> 00:13:20.070 align:middle line:84%
I'm never going to mention
it again pretty much.

00:13:20.070 --> 00:13:24.010 align:middle line:84%
Jean may talk about it when
he gives his guest lectures.

00:13:24.010 --> 00:13:26.657 align:middle line:84%
But in IO, all of
these income effects

00:13:26.657 --> 00:13:28.740 align:middle line:84%
you see in public finance,
whatever, those are all

00:13:28.740 --> 00:13:29.590 align:middle line:90%
going to disappear.

00:13:29.590 --> 00:13:33.090 align:middle line:84%
So in IO, pretty
much everybody has

00:13:33.090 --> 00:13:36.960 align:middle line:84%
quasi linear preferences
and everyone has preferences

00:13:36.960 --> 00:13:39.480 align:middle line:84%
that look like v minus
p, where everybody's

00:13:39.480 --> 00:13:42.128 align:middle line:84%
got a marginal utility of
income of 1 that's constant

00:13:42.128 --> 00:13:44.170 align:middle line:84%
and everyone has some
value from buying the good.

00:13:44.170 --> 00:13:46.620 align:middle line:84%
And we just do additively
separable utility

00:13:46.620 --> 00:13:49.320 align:middle line:84%
and don't really worry about
income effects and stuff.

00:13:49.320 --> 00:13:53.430 align:middle line:84%
And obviously that's not
to say that equity concerns

00:13:53.430 --> 00:13:55.440 align:middle line:84%
and transfers across
consumers aren't important,

00:13:55.440 --> 00:13:57.900 align:middle line:84%
but it's just I
think people in IO

00:13:57.900 --> 00:13:59.650 align:middle line:84%
have made the decision
that you don't want

00:13:59.650 --> 00:14:02.740 align:middle line:84%
to be every single model
talking about the incentive

00:14:02.740 --> 00:14:07.132 align:middle line:84%
to distort what you have the
firms doing in order to benefit

00:14:07.132 --> 00:14:09.340 align:middle line:84%
the consumers with lower
marginal utilities of income

00:14:09.340 --> 00:14:11.298 align:middle line:84%
instead of higher marginal
utilities of income.

00:14:11.298 --> 00:14:14.680 align:middle line:84%
So we just do this, and you
can think about equity concerns

00:14:14.680 --> 00:14:15.730 align:middle line:90%
on top of it.

00:14:15.730 --> 00:14:17.410 align:middle line:84%
But pretty much all
semester I'm going

00:14:17.410 --> 00:14:20.750 align:middle line:90%
to have that kind of utility.

00:14:20.750 --> 00:14:22.640 align:middle line:90%
OK.

00:14:22.640 --> 00:14:24.840 align:middle line:84%
That's your basic
monopoly pricing model.

00:14:24.840 --> 00:14:27.500 align:middle line:84%
What are some of the other
things you need to know?

00:14:27.500 --> 00:14:29.990 align:middle line:84%
First of all, most
firms in the real world

00:14:29.990 --> 00:14:33.650 align:middle line:84%
sell multiple goods
instead of a single good.

00:14:33.650 --> 00:14:36.720 align:middle line:84%
So the way I'm going to think
about this is simplest example.

00:14:36.720 --> 00:14:40.640 align:middle line:84%
Suppose the monopolist
has two goods to sell.

00:14:40.640 --> 00:14:43.080 align:middle line:84%
Now I'm putting price
as the argument.

00:14:43.080 --> 00:14:46.950 align:middle line:84%
So demand for good 1 is
a function of p1 and p2.

00:14:46.950 --> 00:14:51.890 align:middle line:84%
Demand for good 2 is also
a function of p1 and p2.

00:14:51.890 --> 00:14:54.630 align:middle line:84%
Let me stick with constant
marginal costs here.

00:14:54.630 --> 00:14:57.980 align:middle line:84%
So the total cost of producing
x1 units of good 1 and x2

00:14:57.980 --> 00:15:00.996 align:middle line:84%
units of good 2 is
just c1 x1 plus c2 x2.

00:15:00.996 --> 00:15:03.740 align:middle line:90%


00:15:03.740 --> 00:15:06.060 align:middle line:84%
So what's the
monopolist's problem?

00:15:06.060 --> 00:15:10.820 align:middle line:84%
It's now maximizing
over the two prices.

00:15:10.820 --> 00:15:12.920 align:middle line:84%
Price 1 minus
marginal cost 1 times

00:15:12.920 --> 00:15:19.790 align:middle line:84%
the number of units of good 1
plus p2 minus c2 dx times x2.

00:15:19.790 --> 00:15:22.080 align:middle line:84%
What do the first order
conditions look like?

00:15:22.080 --> 00:15:24.560 align:middle line:84%
Well, if I differentiate, think
about differentiating with

00:15:24.560 --> 00:15:28.670 align:middle line:84%
respect to the price of good 1,
if I differentiate with respect

00:15:28.670 --> 00:15:33.320 align:middle line:84%
to p1, I'm going to get
p1 minus c1 d(x1)/d(p1).

00:15:33.320 --> 00:15:38.990 align:middle line:84%
Plus this times the derivative
of that, which is x1 of P1 P2.

00:15:38.990 --> 00:15:42.530 align:middle line:84%
But now I'm going to get an
extra term that I wasn't getting

00:15:42.530 --> 00:15:46.460 align:middle line:84%
before, which is d(x2)/d(p1)
times p2 minus c2.

00:15:46.460 --> 00:15:50.910 align:middle line:90%


00:15:50.910 --> 00:15:54.240 align:middle line:84%
So one way to think about what
we're getting is if I now do

00:15:54.240 --> 00:15:56.550 align:middle line:84%
the same thing,
if I divide by x,

00:15:56.550 --> 00:16:04.770 align:middle line:84%
I get price minus cost plus x1
over d(x1)/d(p1) plus p2 minus

00:16:04.770 --> 00:16:10.140 align:middle line:84%
c2 times d(x2)/d(p1) over
d(x1)/d(p1) equals 0.

00:16:10.140 --> 00:16:12.540 align:middle line:84%
So this is the same
first order condition

00:16:12.540 --> 00:16:17.730 align:middle line:84%
I had before, but with the
addition of this extra term.

00:16:17.730 --> 00:16:21.190 align:middle line:84%
People in IO refer to this
as the diversion ratio.

00:16:21.190 --> 00:16:25.980 align:middle line:84%
This is when I raise
the price of good 1,

00:16:25.980 --> 00:16:30.240 align:middle line:84%
I'm going to sell
fewer units of good 2.

00:16:30.240 --> 00:16:32.440 align:middle line:84%
When I sell fewer
units of good 2,

00:16:32.440 --> 00:16:34.320 align:middle line:84%
sorry, when I sell
price of good 1,

00:16:34.320 --> 00:16:36.480 align:middle line:84%
I'm going to sell
fewer units of good 1.

00:16:36.480 --> 00:16:40.150 align:middle line:84%
But when I sell fewer
units of good 1,

00:16:40.150 --> 00:16:43.480 align:middle line:84%
that's going to affect
my sales of good 2.

00:16:43.480 --> 00:16:46.570 align:middle line:84%
And so it can either
raise my sales of good 2

00:16:46.570 --> 00:16:48.630 align:middle line:90%
or lower my sales of good 2.

00:16:48.630 --> 00:16:52.960 align:middle line:84%
But I have to take in that
account for every unit of goods

00:16:52.960 --> 00:16:53.990 align:middle line:90%
that I don't sell.

00:16:53.990 --> 00:16:57.650 align:middle line:84%
It gets diverted possibly
to a sale of another good.

00:16:57.650 --> 00:17:00.250 align:middle line:84%
And I have to take the profits
I would earn on those goods

00:17:00.250 --> 00:17:03.380 align:middle line:84%
into account when I'm
doing the first one.

00:17:03.380 --> 00:17:08.920 align:middle line:84%
And so this gives me a
different markup formula.

00:17:08.920 --> 00:17:13.849 align:middle line:84%
Price minus marginal cost over
price is minus 1 over epsilon.

00:17:13.849 --> 00:17:18.970 align:middle line:84%
The elasticity of the good
plus this other effect, which

00:17:18.970 --> 00:17:21.760 align:middle line:84%
comes from thinking about
the effect of my change

00:17:21.760 --> 00:17:24.330 align:middle line:84%
in price of good 1
on sales of good 2.

00:17:24.330 --> 00:17:28.850 align:middle line:90%


00:17:28.850 --> 00:17:31.708 align:middle line:84%
I should say before I go to the
next page, one way you can also

00:17:31.708 --> 00:17:34.250 align:middle line:84%
think about this is just you
have to think about your pricing

00:17:34.250 --> 00:17:35.010 align:middle line:90%
as a system.

00:17:35.010 --> 00:17:37.102 align:middle line:90%
So, for instance, if you're--

00:17:37.102 --> 00:17:38.810 align:middle line:84%
the worst thing in
the world you could do

00:17:38.810 --> 00:17:46.430 align:middle line:84%
is imagine you're advising Apple
on selling both blue iPhones

00:17:46.430 --> 00:17:48.090 align:middle line:90%
and silver iPhones.

00:17:48.090 --> 00:17:51.260 align:middle line:84%
And you do a study of the price
elasticity of blue iPhones

00:17:51.260 --> 00:17:53.673 align:middle line:84%
by raising the price
of blue iPhones by $20

00:17:53.673 --> 00:17:56.090 align:middle line:84%
and lowering it by $20 and
seeing what that does to sales,

00:17:56.090 --> 00:17:57.930 align:middle line:90%
holding all other prices fixed.

00:17:57.930 --> 00:18:00.530 align:middle line:84%
You'll find that the blue
iPhone is incredibly price

00:18:00.530 --> 00:18:04.595 align:middle line:84%
sensitive price, because people
switch and buy the silver one.

00:18:04.595 --> 00:18:06.970 align:middle line:84%
That does not mean that you
want to have a really, really

00:18:06.970 --> 00:18:08.392 align:middle line:90%
low markup on the blue iPhone.

00:18:08.392 --> 00:18:09.850 align:middle line:84%
You have to think
of it as a system

00:18:09.850 --> 00:18:12.850 align:middle line:84%
and what's the equilibrium
solution to blue iPhone,

00:18:12.850 --> 00:18:15.670 align:middle line:84%
silver iPhone, red iPhone,
green iPhone, whatever.

00:18:15.670 --> 00:18:17.420 align:middle line:84%
And think of all those
things as a system.

00:18:17.420 --> 00:18:18.962 align:middle line:84%
If you look at each
one individually,

00:18:18.962 --> 00:18:20.200 align:middle line:90%
you'll get it terribly wrong.

00:18:20.200 --> 00:18:22.000 align:middle line:84%
And so in general,
any time you're

00:18:22.000 --> 00:18:26.620 align:middle line:84%
doing pricing of
multiple goods, if there

00:18:26.620 --> 00:18:28.672 align:middle line:84%
are very strong diversion
ratios between them,

00:18:28.672 --> 00:18:30.130 align:middle line:84%
you always want to
make sure you're

00:18:30.130 --> 00:18:32.890 align:middle line:84%
thinking of it as a system,
not in terms of each one

00:18:32.890 --> 00:18:35.320 align:middle line:90%
individually as its epsilon.

00:18:35.320 --> 00:18:37.990 align:middle line:84%
But when these diversion
ratios are smaller,

00:18:37.990 --> 00:18:40.300 align:middle line:84%
you can think of it as
it is 1 over epsilon

00:18:40.300 --> 00:18:42.310 align:middle line:84%
pricing with some
increase or decrease

00:18:42.310 --> 00:18:45.123 align:middle line:84%
based on whether there
is an effect of changing

00:18:45.123 --> 00:18:46.290 align:middle line:90%
sales on the other products.

00:18:46.290 --> 00:18:51.050 align:middle line:90%


00:18:51.050 --> 00:18:51.880 align:middle line:90%
OK, anyway.

00:18:51.880 --> 00:18:55.310 align:middle line:90%


00:18:55.310 --> 00:18:57.330 align:middle line:84%
OK, so what does this
formula look like?

00:18:57.330 --> 00:19:03.200 align:middle line:84%
So my price is inverse
elasticity minus price minus

00:19:03.200 --> 00:19:06.680 align:middle line:90%
cost over price d(xi)/d(pi).

00:19:06.680 --> 00:19:09.200 align:middle line:84%
If you think about the normal
case, in the normal case,

00:19:09.200 --> 00:19:12.770 align:middle line:84%
goods are sold at
positive markups.

00:19:12.770 --> 00:19:15.450 align:middle line:84%
So this would be
a positive number.

00:19:15.450 --> 00:19:17.370 align:middle line:90%
This would be a positive number.

00:19:17.370 --> 00:19:19.770 align:middle line:84%
The d(xi)/d(pi) is
a negative number.

00:19:19.770 --> 00:19:20.790 align:middle line:90%
So this is negative.

00:19:20.790 --> 00:19:21.790 align:middle line:90%
There's a negative sign.

00:19:21.790 --> 00:19:22.648 align:middle line:90%
This is positive.

00:19:22.648 --> 00:19:24.440 align:middle line:84%
So you can think of
the whole thing in blue

00:19:24.440 --> 00:19:27.410 align:middle line:90%
as a positive number normally.

00:19:27.410 --> 00:19:31.070 align:middle line:84%
And so whether you
price above or below

00:19:31.070 --> 00:19:33.470 align:middle line:84%
the inverse elasticity
is typically

00:19:33.470 --> 00:19:35.810 align:middle line:84%
going to depend on whether
this is a positive number

00:19:35.810 --> 00:19:36.815 align:middle line:90%
or a negative number.

00:19:36.815 --> 00:19:40.010 align:middle line:90%


00:19:40.010 --> 00:19:41.970 align:middle line:84%
Standard case, we're
dealing with a monopoly.

00:19:41.970 --> 00:19:43.890 align:middle line:84%
Pricing is often the
substitutes case.

00:19:43.890 --> 00:19:46.670 align:middle line:84%
The substitutes
case is when I raise

00:19:46.670 --> 00:19:49.460 align:middle line:84%
the price of the blue iPhone,
sales of the silver iPhone

00:19:49.460 --> 00:19:50.690 align:middle line:90%
go up.

00:19:50.690 --> 00:19:54.470 align:middle line:84%
These goods are
substitutes for consumers.

00:19:54.470 --> 00:20:01.130 align:middle line:84%
So when that's the case, margins
for both products are positive.

00:20:01.130 --> 00:20:05.360 align:middle line:84%
And your margin exceeds the
single product Lerner index

00:20:05.360 --> 00:20:06.230 align:middle line:90%
formula.

00:20:06.230 --> 00:20:10.100 align:middle line:84%
And the amount by which it
exceeds that single index Lerner

00:20:10.100 --> 00:20:16.910 align:middle line:84%
formula depends on what
is dx minus i over pdpi.

00:20:16.910 --> 00:20:18.350 align:middle line:84%
How large is the
diversion ratio?

00:20:18.350 --> 00:20:20.730 align:middle line:84%
This divided by this
is the diversion ratio.

00:20:20.730 --> 00:20:23.060 align:middle line:84%
So the larger is
the diversion ratio,

00:20:23.060 --> 00:20:25.010 align:middle line:84%
the larger is the
markup you're earning

00:20:25.010 --> 00:20:27.650 align:middle line:84%
on the other second
product you're selling,

00:20:27.650 --> 00:20:30.025 align:middle line:84%
the more you exceed the
Lerner index formula.

00:20:30.025 --> 00:20:32.900 align:middle line:90%


00:20:32.900 --> 00:20:38.370 align:middle line:84%
The other more interesting
case is this complements case.

00:20:38.370 --> 00:20:43.010 align:middle line:84%
So sometimes you have firms
selling complements like

00:20:43.010 --> 00:20:46.730 align:middle line:84%
hamburgers and French
fries at McDonald's.

00:20:46.730 --> 00:20:48.890 align:middle line:84%
If your price of
hamburgers is lower, more

00:20:48.890 --> 00:20:51.720 align:middle line:84%
people come to McDonald's,
more people buy French fries.

00:20:51.720 --> 00:20:53.660 align:middle line:84%
If your price for
hamburgers is higher,

00:20:53.660 --> 00:20:55.490 align:middle line:84%
there could be an income effect
where people feel like I've

00:20:55.490 --> 00:20:56.430 align:middle line:90%
spent too much already.

00:20:56.430 --> 00:20:57.750 align:middle line:84%
I don't want to
also buy the fries.

00:20:57.750 --> 00:20:58.790 align:middle line:84%
But typically it's
like the effect

00:20:58.790 --> 00:21:00.915 align:middle line:84%
is going to be people don't
come to your restaurant

00:21:00.915 --> 00:21:03.920 align:middle line:84%
and then they don't
buy fries at all.

00:21:03.920 --> 00:21:07.190 align:middle line:84%
In the Apple case, if I
don't sell them this iPhone,

00:21:07.190 --> 00:21:10.040 align:middle line:84%
I'm not going to
sell them my earbuds

00:21:10.040 --> 00:21:11.463 align:middle line:90%
that I sell for a huge profit.

00:21:11.463 --> 00:21:13.880 align:middle line:84%
If I don't sell them my iPhone,
I'm not going to sell them

00:21:13.880 --> 00:21:17.360 align:middle line:84%
the 17th charger that they've
had to buy from me because I

00:21:17.360 --> 00:21:20.870 align:middle line:84%
keep changing the way my
charger and connector works.

00:21:20.870 --> 00:21:23.490 align:middle line:84%
And so the complements
case is the higher

00:21:23.490 --> 00:21:27.230 align:middle line:84%
is the price of my
iPhone, I sell fewer.

00:21:27.230 --> 00:21:31.180 align:middle line:84%
If I raise the price of the
iPhone, I sell fewer earbuds.

00:21:31.180 --> 00:21:39.790 align:middle line:84%
And so in this case, now this
becomes a negative number.

00:21:39.790 --> 00:21:44.940 align:middle line:84%
You set price below the
elasticity of demand.

00:21:44.940 --> 00:21:48.090 align:middle line:84%
Very easily if this
diversion ratio is large,

00:21:48.090 --> 00:21:49.620 align:middle line:84%
you can often think
of the diversion

00:21:49.620 --> 00:21:52.860 align:middle line:90%
ratio is in some sense 1.

00:21:52.860 --> 00:21:57.160 align:middle line:84%
For every iPhone I
sell, I don't sell,

00:21:57.160 --> 00:21:59.460 align:middle line:84%
that's exactly one pair
of earbuds I don't sell

00:21:59.460 --> 00:22:01.650 align:middle line:84%
or that's one
charger I don't sell.

00:22:01.650 --> 00:22:06.870 align:middle line:84%
So if this is a large number,
if this diversion ratio is 1,

00:22:06.870 --> 00:22:09.870 align:middle line:84%
the margin is high in
the competing good,

00:22:09.870 --> 00:22:13.020 align:middle line:84%
you can very easily end up with
pricing one good below cost

00:22:13.020 --> 00:22:14.680 align:middle line:90%
or even having a negative price.

00:22:14.680 --> 00:22:17.340 align:middle line:84%
You may have thought
you go into the store

00:22:17.340 --> 00:22:19.410 align:middle line:84%
to buy an Inkjet printer
and it's remarkable,

00:22:19.410 --> 00:22:24.420 align:middle line:84%
but I can get this phenomenally
complicated piece of electronics

00:22:24.420 --> 00:22:26.760 align:middle line:84%
with all kinds of chips in
it and hardware and precision

00:22:26.760 --> 00:22:28.783 align:middle line:90%
stuff, and it's only $99.

00:22:28.783 --> 00:22:31.200 align:middle line:84%
And then you get really pissed
off when the thing runs out

00:22:31.200 --> 00:22:33.823 align:middle line:84%
of ink seven days later
and it's $59 for ink.

00:22:33.823 --> 00:22:35.490 align:middle line:84%
And you're thinking
yourself, how can it

00:22:35.490 --> 00:22:39.030 align:middle line:84%
be that it only costs $99
to produce this printer

00:22:39.030 --> 00:22:44.520 align:middle line:84%
and yet it costs $59 to get
a bottle of ink this big?

00:22:44.520 --> 00:22:46.570 align:middle line:84%
You would think the ink
should only cost $0.50.

00:22:46.570 --> 00:22:48.400 align:middle line:84%
And the answer is
yes, obviously, yes.

00:22:48.400 --> 00:22:50.410 align:middle line:90%
The ink only costs $0.50.

00:22:50.410 --> 00:22:52.890 align:middle line:84%
But they're pricing
the printer way

00:22:52.890 --> 00:22:54.730 align:middle line:84%
below the cost of
producing the printer

00:22:54.730 --> 00:22:58.750 align:middle line:90%
to get you to buy the ink.

00:22:58.750 --> 00:23:01.913 align:middle line:84%
I guess newspapers, these
examples no longer resonate.

00:23:01.913 --> 00:23:04.580 align:middle line:84%
There was a time when people had
these things called newspapers.

00:23:04.580 --> 00:23:06.330 align:middle line:84%
And instead of reading
news on your phone,

00:23:06.330 --> 00:23:08.320 align:middle line:84%
you got this big piece
of paper delivered

00:23:08.320 --> 00:23:10.720 align:middle line:90%
to your house every day.

00:23:10.720 --> 00:23:13.390 align:middle line:84%
The way newspapers used to work
is the newspaper would only cost

00:23:13.390 --> 00:23:14.660 align:middle line:90%
$0.50.

00:23:14.660 --> 00:23:17.333 align:middle line:84%
And if you think about how much
does it cost to produce and get

00:23:17.333 --> 00:23:19.000 align:middle line:84%
a newspaper to your
house every morning,

00:23:19.000 --> 00:23:21.010 align:middle line:84%
the answer was way
more than $0.50.

00:23:21.010 --> 00:23:23.900 align:middle line:84%
It would cost $1 or $1.50
or something like that.

00:23:23.900 --> 00:23:25.280 align:middle line:90%
How did newspapers work?

00:23:25.280 --> 00:23:28.325 align:middle line:84%
Newspapers worked because
they sold them for $0.50,

00:23:28.325 --> 00:23:30.700 align:middle line:84%
even though it cost $1.50 to
produce it because they were

00:23:30.700 --> 00:23:31.960 align:middle line:90%
full of ads.

00:23:31.960 --> 00:23:37.990 align:middle line:84%
And they were full of classified
ads that now go to wherever.

00:23:37.990 --> 00:23:40.460 align:middle line:84%
They were full of real estate
ads that are now on Zillow.

00:23:40.460 --> 00:23:43.430 align:middle line:84%
They were full of ads
for local car dealers.

00:23:43.430 --> 00:23:47.050 align:middle line:84%
They were full of ads
for all kinds of things.

00:23:47.050 --> 00:23:49.270 align:middle line:84%
Whatever, eBay, everything
that was sold on eBay

00:23:49.270 --> 00:23:52.180 align:middle line:90%
was sold through the newspaper.

00:23:52.180 --> 00:23:54.520 align:middle line:84%
The newspapers were selling
the newspaper below cost

00:23:54.520 --> 00:23:58.970 align:middle line:84%
because the cost of printing
an ad was essentially 0.

00:23:58.970 --> 00:24:00.920 align:middle line:84%
And so the cost of
producing an ad was 0.

00:24:00.920 --> 00:24:04.150 align:middle line:84%
They'd charge you $100 or
$1,000 to list your house

00:24:04.150 --> 00:24:05.620 align:middle line:90%
in the newspaper.

00:24:05.620 --> 00:24:09.400 align:middle line:84%
Price minus cost was huge on
the ads that made the margin

00:24:09.400 --> 00:24:12.010 align:middle line:90%
on the newspaper negative.

00:24:12.010 --> 00:24:18.410 align:middle line:84%
In some industries, it even
becomes there's a 0 lower bound

00:24:18.410 --> 00:24:20.860 align:middle line:90%
that becomes important.

00:24:20.860 --> 00:24:24.190 align:middle line:84%
Google in some sense would
like to pay you to use Google.

00:24:24.190 --> 00:24:25.360 align:middle line:90%
Every time you do a--

00:24:25.360 --> 00:24:29.350 align:middle line:84%
Google's ad revenue is something
like $0.06 or $0.08 a search.

00:24:29.350 --> 00:24:34.150 align:middle line:84%
Every time you do a search on
Google, Google is making money.

00:24:34.150 --> 00:24:37.870 align:middle line:84%
The marginal cost of running
a search for you on Google

00:24:37.870 --> 00:24:39.380 align:middle line:90%
is very, very small.

00:24:39.380 --> 00:24:41.500 align:middle line:84%
So when Google does
the price search,

00:24:41.500 --> 00:24:44.900 align:middle line:84%
it costs them a thousandth of a
cent to run the search for you.

00:24:44.900 --> 00:24:47.690 align:middle line:84%
They're making $0.08
profit on every search.

00:24:47.690 --> 00:24:50.410 align:middle line:84%
They want to set the price of
having Google on your phone

00:24:50.410 --> 00:24:50.922 align:middle line:90%
negative.

00:24:50.922 --> 00:24:52.630 align:middle line:84%
That's why Google is
willing to pay Apple

00:24:52.630 --> 00:24:55.172 align:middle line:84%
billions and billions of dollars
to put Google there and make

00:24:55.172 --> 00:24:56.760 align:middle line:84%
Google a default.
In some sense, they

00:24:56.760 --> 00:24:59.100 align:middle line:84%
want to have a negative
price to get as many people

00:24:59.100 --> 00:25:00.050 align:middle line:90%
to use it as possible.

00:25:00.050 --> 00:25:05.070 align:middle line:90%


00:25:05.070 --> 00:25:09.960 align:middle line:84%
Any questions on
multiproduct pricing?

00:25:09.960 --> 00:25:13.290 align:middle line:90%
So product quality.

00:25:13.290 --> 00:25:16.470 align:middle line:84%
So as I said, people
often get frustrated

00:25:16.470 --> 00:25:18.570 align:middle line:84%
with their Microsoft
and other products

00:25:18.570 --> 00:25:21.925 align:middle line:84%
and think this thing is so bad
because they're a monopoly.

00:25:21.925 --> 00:25:22.633 align:middle line:90%
I have no choice.

00:25:22.633 --> 00:25:27.610 align:middle line:90%


00:25:27.610 --> 00:25:30.190 align:middle line:84%
Maybe they get frustrated
with the Sloan cafeteria

00:25:30.190 --> 00:25:34.430 align:middle line:84%
and are like, this place is
closer than everywhere else

00:25:34.430 --> 00:25:36.640 align:middle line:84%
and yet still people walk
across to Brothers Market

00:25:36.640 --> 00:25:42.325 align:middle line:84%
to get their lunch anyway,
because it's not necessarily

00:25:42.325 --> 00:25:44.200 align:middle line:84%
the price of the food
at the Sloan cafeteria,

00:25:44.200 --> 00:25:47.530 align:middle line:84%
although it's also high,
but does Sloan cafeteria

00:25:47.530 --> 00:25:51.700 align:middle line:84%
have the option to set the
optimal product quality?

00:25:51.700 --> 00:25:55.190 align:middle line:84%
Basic reasoning is going
to be, in some sense,

00:25:55.190 --> 00:25:57.190 align:middle line:84%
while we may think the
monopolists often provide

00:25:57.190 --> 00:26:00.430 align:middle line:84%
low quality products, at
least the profit maximizing

00:26:00.430 --> 00:26:02.410 align:middle line:84%
theory tells us, they
ought to do pretty well

00:26:02.410 --> 00:26:03.710 align:middle line:90%
on this dimension.

00:26:03.710 --> 00:26:06.280 align:middle line:84%
So let's suppose you
have a monopolist.

00:26:06.280 --> 00:26:08.770 align:middle line:84%
It has a product that's
a variable quality s.

00:26:08.770 --> 00:26:12.450 align:middle line:84%
And s is a choice variable
as well as the price.

00:26:12.450 --> 00:26:16.230 align:middle line:84%
So suppose there's a constant
marginal cost c of s.

00:26:16.230 --> 00:26:19.260 align:middle line:84%
So you could think of this as
either the quality of the food

00:26:19.260 --> 00:26:21.780 align:middle line:84%
you're providing at
a lunch or s could

00:26:21.780 --> 00:26:25.800 align:middle line:84%
be the quality of the
camera in an iPhone.

00:26:25.800 --> 00:26:28.715 align:middle line:84%
The unit cost of producing
this lunch or the unit

00:26:28.715 --> 00:26:30.840 align:middle line:84%
cost of producing the iPhone
is going to be c of s.

00:26:30.840 --> 00:26:33.090 align:middle line:84%
And the higher quality you
make it, the more expensive

00:26:33.090 --> 00:26:34.740 align:middle line:90%
it's going to produce.

00:26:34.740 --> 00:26:37.300 align:middle line:84%
And then I will do this as
a constant marginal cost.

00:26:37.300 --> 00:26:38.790 align:middle line:84%
So if you produce
100 iPhones, it's

00:26:38.790 --> 00:26:41.350 align:middle line:84%
just 100 times the
cost of producing one.

00:26:41.350 --> 00:26:46.020 align:middle line:84%
If you produce 100 lunches, 100
times the cost of one lunch.

00:26:46.020 --> 00:26:48.450 align:middle line:84%
Something we're going
to do all the time in IO

00:26:48.450 --> 00:26:52.000 align:middle line:84%
is take consumer
heterogeneity very seriously.

00:26:52.000 --> 00:26:54.450 align:middle line:84%
So I'm going to think
about massive consumers who

00:26:54.450 --> 00:26:57.940 align:middle line:84%
have types theta
distributed uniform on 0, 1.

00:26:57.940 --> 00:27:00.790 align:middle line:84%
The uniform 0, 1 here is
without loss of generality.

00:27:00.790 --> 00:27:01.630 align:middle line:90%
I do that a lot.

00:27:01.630 --> 00:27:05.070 align:middle line:84%
It's just I index consumers
by their percentile

00:27:05.070 --> 00:27:07.740 align:middle line:84%
within the distribution
of consumers.

00:27:07.740 --> 00:27:10.470 align:middle line:84%
Here it's indexing within
their distribution of consumers

00:27:10.470 --> 00:27:13.510 align:middle line:84%
in terms of how high their
valuation is for the good

00:27:13.510 --> 00:27:14.980 align:middle line:90%
that people are buying.

00:27:14.980 --> 00:27:17.535 align:middle line:90%
So consumers are going to get--

00:27:17.535 --> 00:27:19.660 align:middle line:84%
consumers are going to
either buy one-- they either

00:27:19.660 --> 00:27:21.230 align:middle line:90%
want one lunch or one phone.

00:27:21.230 --> 00:27:22.720 align:middle line:90%
It's a unit demand case.

00:27:22.720 --> 00:27:26.020 align:middle line:84%
And they're going to get
utility v of s theta minus p

00:27:26.020 --> 00:27:28.360 align:middle line:84%
if they buy one unit
of a quality s good

00:27:28.360 --> 00:27:30.820 align:middle line:90%
and their type is theta.

00:27:30.820 --> 00:27:32.590 align:middle line:84%
And I'm going to
assume that we've

00:27:32.590 --> 00:27:35.650 align:middle line:84%
ordered the qualities
and the types

00:27:35.650 --> 00:27:40.300 align:middle line:84%
so that utility is increasing
in quality for everyone,

00:27:40.300 --> 00:27:41.590 align:middle line:90%
regardless of theta.

00:27:41.590 --> 00:27:44.980 align:middle line:84%
And the high theta people
have a higher willingness

00:27:44.980 --> 00:27:48.730 align:middle line:84%
to pay than the low theta
people, again, for any quality.

00:27:48.730 --> 00:27:50.530 align:middle line:84%
That doesn't fit all
products, but assume

00:27:50.530 --> 00:27:52.660 align:middle line:84%
that there are these
high types and low types

00:27:52.660 --> 00:27:54.820 align:middle line:84%
and the high types are willing
to pay more for everything, as

00:27:54.820 --> 00:27:56.487 align:middle line:84%
if they're wealthier
people with a lower

00:27:56.487 --> 00:27:59.830 align:middle line:90%
marginal utility of income.

00:27:59.830 --> 00:28:02.290 align:middle line:84%
Now imagine that in
equilibrium the firm

00:28:02.290 --> 00:28:04.090 align:middle line:90%
is going to sell q units.

00:28:04.090 --> 00:28:06.100 align:middle line:84%
Given that the high
theta people have

00:28:06.100 --> 00:28:10.780 align:middle line:84%
the highest willingness to
pay, if you're going to sell--

00:28:10.780 --> 00:28:11.490 align:middle line:90%
let me put my--

00:28:11.490 --> 00:28:16.200 align:middle line:90%


00:28:16.200 --> 00:28:19.470 align:middle line:90%
theta is uniform 0, 1 here.

00:28:19.470 --> 00:28:26.077 align:middle line:84%
If I'm going to
sell q units, what's

00:28:26.077 --> 00:28:27.660 align:middle line:84%
going to have to
happen in equilibrium

00:28:27.660 --> 00:28:30.810 align:middle line:84%
is everyone whose type is
above 1 minus q buys the good,

00:28:30.810 --> 00:28:33.790 align:middle line:84%
and anyone whose type is below
1 minus q doesn't buy the good.

00:28:33.790 --> 00:28:36.948 align:middle line:84%
Because if someone here is
willing to buy the good,

00:28:36.948 --> 00:28:38.490 align:middle line:84%
anyone with a higher
type is strictly

00:28:38.490 --> 00:28:40.440 align:middle line:84%
willing to buy the
good at the same price.

00:28:40.440 --> 00:28:41.940 align:middle line:84%
So if you're going
to sell the good,

00:28:41.940 --> 00:28:46.320 align:middle line:84%
this is how it's going to
look in characteristic space.

00:28:46.320 --> 00:28:49.590 align:middle line:84%
So therefore, what's your
maximization problem?

00:28:49.590 --> 00:28:50.550 align:middle line:90%
I'm going to maximize.

00:28:50.550 --> 00:28:51.967 align:middle line:84%
I'm going to set
it over, maximize

00:28:51.967 --> 00:28:55.560 align:middle line:84%
over the quantity that I'm
going to sell and the quality.

00:28:55.560 --> 00:29:00.600 align:middle line:84%
If I'm going to sell to
everyone in this interval,

00:29:00.600 --> 00:29:02.490 align:middle line:84%
it's got to be
that this person is

00:29:02.490 --> 00:29:05.350 align:middle line:84%
just indifferent between
buying and not buying.

00:29:05.350 --> 00:29:09.900 align:middle line:84%
This person is willing
to pay v of s 1 minus q,

00:29:09.900 --> 00:29:12.610 align:middle line:90%
because 1 minus q is their type.

00:29:12.610 --> 00:29:15.310 align:middle line:84%
So if I'm going to sell to these
people and not to these people,

00:29:15.310 --> 00:29:18.010 align:middle line:84%
it must be that this is
the price I'm charging.

00:29:18.010 --> 00:29:21.010 align:middle line:84%
So if I'm going to
sell q units, my profit

00:29:21.010 --> 00:29:24.625 align:middle line:84%
is q times v of s1
minus q minus c of s.

00:29:24.625 --> 00:29:27.305 align:middle line:90%


00:29:27.305 --> 00:29:32.400 align:middle line:84%
I now want to differentiate
that with respect to s to say,

00:29:32.400 --> 00:29:36.120 align:middle line:84%
what is the optimal
quality to choose?

00:29:36.120 --> 00:29:39.720 align:middle line:90%
Notice the q.

00:29:39.720 --> 00:29:43.320 align:middle line:84%
This q drops out of the
first order condition.

00:29:43.320 --> 00:29:48.960 align:middle line:84%
So I just get dv / ds evaluated
at the monopoly level of s

00:29:48.960 --> 00:29:52.920 align:middle line:90%
and 1 minus q equals dc / ds.

00:29:52.920 --> 00:29:57.750 align:middle line:84%
So what this says is that
the effect on the unit

00:29:57.750 --> 00:30:02.580 align:middle line:84%
cost of increasing
quality is exactly what

00:30:02.580 --> 00:30:04.920 align:middle line:84%
the effect of that
quality increase

00:30:04.920 --> 00:30:10.560 align:middle line:84%
is on the evaluation of
the marginal consumer.

00:30:10.560 --> 00:30:13.230 align:middle line:84%
So the monopolist is
choosing optimally--

00:30:13.230 --> 00:30:16.170 align:middle line:84%
choosing quality optimally
from the perspective

00:30:16.170 --> 00:30:17.470 align:middle line:90%
of the marginal consumer.

00:30:17.470 --> 00:30:20.010 align:middle line:84%
And that's because the
marginal consumer, if you raise

00:30:20.010 --> 00:30:22.218 align:middle line:84%
the quality, that person
will be willing to pay more,

00:30:22.218 --> 00:30:23.290 align:middle line:90%
you can charge them more.

00:30:23.290 --> 00:30:25.440 align:middle line:84%
And so you're improving
quality if and only

00:30:25.440 --> 00:30:29.803 align:middle line:84%
if the amount that the
marginal consumers are

00:30:29.803 --> 00:30:31.720 align:middle line:84%
willing to pay for that
improvement in quality

00:30:31.720 --> 00:30:34.262 align:middle line:84%
matches the cost of implementing
that improvement in quality.

00:30:34.262 --> 00:30:36.870 align:middle line:90%


00:30:36.870 --> 00:30:41.650 align:middle line:84%
So that in some sense, it's
a partial optimality theorem.

00:30:41.650 --> 00:30:44.680 align:middle line:90%
What would a social planner do?

00:30:44.680 --> 00:30:47.230 align:middle line:84%
Well, a social planner
would be choosing--

00:30:47.230 --> 00:30:50.170 align:middle line:84%
so let me say, so this would
be what the monopolist ended up

00:30:50.170 --> 00:30:51.088 align:middle line:90%
doing.

00:30:51.088 --> 00:30:52.880 align:middle line:84%
What would the social
planner end up doing?

00:30:52.880 --> 00:30:55.060 align:middle line:90%
It's maximizing over q and s.

00:30:55.060 --> 00:30:58.360 align:middle line:84%
Integral over all types
from 1 minus q to 1,

00:30:58.360 --> 00:31:02.680 align:middle line:84%
v of s theta minus
c of sd theta.

00:31:02.680 --> 00:31:03.820 align:middle line:90%
Maximize that.

00:31:03.820 --> 00:31:06.890 align:middle line:84%
I differentiate with respect
to s under the integral sign.

00:31:06.890 --> 00:31:09.550 align:middle line:84%
So I get the integral
from 1 minus q to 1

00:31:09.550 --> 00:31:14.740 align:middle line:84%
of dv / ds minus
dc / ds d theta.

00:31:14.740 --> 00:31:20.470 align:middle line:84%
The integral from 1
minus q to 1 of dc / ds

00:31:20.470 --> 00:31:23.210 align:middle line:84%
is just that's a
constant function.

00:31:23.210 --> 00:31:25.700 align:middle line:90%
So it's just q times dc / ds.

00:31:25.700 --> 00:31:29.590 align:middle line:84%
So I've divided both sides by
q and I get this expression.

00:31:29.590 --> 00:31:35.390 align:middle line:84%
The effect on the marginal
cost of increasing quality

00:31:35.390 --> 00:31:38.590 align:middle line:90%
is equal to--

00:31:38.590 --> 00:31:42.520 align:middle line:84%
this is just an average
across consumers of dv / ds.

00:31:42.520 --> 00:31:46.090 align:middle line:84%
So what the monopolist is
doing is instead of equating

00:31:46.090 --> 00:31:49.450 align:middle line:84%
the cost of the
quality improvement

00:31:49.450 --> 00:31:51.400 align:middle line:84%
to the benefit for
the marginal consumer,

00:31:51.400 --> 00:31:54.450 align:middle line:84%
it's equating to the benefit
for the average consumer.

00:31:54.450 --> 00:31:58.050 align:middle line:84%
So there are two reasons in
which the monopolist is not

00:31:58.050 --> 00:32:01.770 align:middle line:90%
doing what we want socially.

00:32:01.770 --> 00:32:04.560 align:middle line:84%
First is that
monopolist is focusing

00:32:04.560 --> 00:32:07.950 align:middle line:84%
on the marginal consumer rather
than the average consumer.

00:32:07.950 --> 00:32:09.780 align:middle line:84%
But the other thing
the monopolist is doing

00:32:09.780 --> 00:32:13.950 align:middle line:84%
is typically in this
case, the monopolist

00:32:13.950 --> 00:32:17.828 align:middle line:90%
is choosing this quantity.

00:32:17.828 --> 00:32:20.370 align:middle line:84%
The competitive quantity that
the social planner might choose

00:32:20.370 --> 00:32:21.310 align:middle line:90%
might be down here.

00:32:21.310 --> 00:32:22.735 align:middle line:84%
The social planner
is going to serve--

00:32:22.735 --> 00:32:24.090 align:middle line:84%
for the social
planner, there would

00:32:24.090 --> 00:32:26.215 align:middle line:84%
be many more iPhones sold
than there are with Apple

00:32:26.215 --> 00:32:29.610 align:middle line:90%
as an iPhone monopolist.

00:32:29.610 --> 00:32:36.210 align:middle line:84%
And so notice that these effects
often go in opposite directions.

00:32:36.210 --> 00:32:38.430 align:middle line:84%
One is that the
monopolist is focusing

00:32:38.430 --> 00:32:41.250 align:middle line:84%
on the marginal consumer rather
than the average consumer.

00:32:41.250 --> 00:32:43.720 align:middle line:84%
Because you're focusing
on the marginal consumer,

00:32:43.720 --> 00:32:47.400 align:middle line:84%
you may make the
quality too low.

00:32:47.400 --> 00:32:51.060 align:middle line:84%
It may be that the
average consumer wishes

00:32:51.060 --> 00:32:52.980 align:middle line:84%
that their iPhone
had a camera that

00:32:52.980 --> 00:32:55.240 align:middle line:84%
was as good as the camera
on the Google Pixel,

00:32:55.240 --> 00:32:57.535 align:middle line:84%
but it doesn't have
a camera that's

00:32:57.535 --> 00:33:00.505 align:middle line:84%
that good because the
marginal consumer is not

00:33:00.505 --> 00:33:02.630 align:middle line:84%
willing to pay as much for
the camera improvements.

00:33:02.630 --> 00:33:05.920 align:middle line:84%
So you make the camera lower
than the average iPhone consumer

00:33:05.920 --> 00:33:08.170 align:middle line:84%
wishes-- worse than
the iPhone camera--

00:33:08.170 --> 00:33:10.710 align:middle line:84%
average iPhone consumer
wants the camera to be.

00:33:10.710 --> 00:33:14.980 align:middle line:84%
But the second effect is because
only wealthy people and graduate

00:33:14.980 --> 00:33:20.230 align:middle line:84%
students have iPhones, because
relatively wealthy people have

00:33:20.230 --> 00:33:23.140 align:middle line:84%
iPhones, all these
people are not actually

00:33:23.140 --> 00:33:24.410 align:middle line:90%
getting iPhones at all.

00:33:24.410 --> 00:33:26.680 align:middle line:84%
And so it could be
that the average--

00:33:26.680 --> 00:33:29.530 align:middle line:84%
with a social planner, you'd
have this many iPhones sold.

00:33:29.530 --> 00:33:32.170 align:middle line:84%
The average consumer would
be somewhere down here.

00:33:32.170 --> 00:33:34.040 align:middle line:84%
And serving the
average consumer,

00:33:34.040 --> 00:33:37.480 align:middle line:84%
the iPhone would be even
worse than it is today.

00:33:37.480 --> 00:33:40.750 align:middle line:84%
It's because Apple is only
serving the high of the theta

00:33:40.750 --> 00:33:41.930 align:middle line:90%
distribution.

00:33:41.930 --> 00:33:44.230 align:middle line:84%
Their marginal
consumer is higher

00:33:44.230 --> 00:33:47.020 align:middle line:84%
than the marginal consumer would
be if they were serving everyone

00:33:47.020 --> 00:33:48.615 align:middle line:90%
with a $300 iPhone.

00:33:48.615 --> 00:33:53.010 align:middle line:90%


00:33:53.010 --> 00:33:55.710 align:middle line:84%
But one corollary
of this analysis

00:33:55.710 --> 00:33:59.940 align:middle line:84%
is if you have a homogeneous
population model, which people

00:33:59.940 --> 00:34:02.580 align:middle line:84%
often do not thinking about
it just to simplify things,

00:34:02.580 --> 00:34:04.650 align:middle line:84%
you make all the
consumers identical.

00:34:04.650 --> 00:34:08.300 align:middle line:84%
If all consumers are
identical, two things happen.

00:34:08.300 --> 00:34:11.219 align:middle line:84%
One is the marginal consumer
is the average consumer,

00:34:11.219 --> 00:34:13.530 align:middle line:84%
because marginal and
average are the same when

00:34:13.530 --> 00:34:15.449 align:middle line:90%
all consumers are identical.

00:34:15.449 --> 00:34:18.330 align:middle line:84%
The second is, in a
homogeneous population model,

00:34:18.330 --> 00:34:20.590 align:middle line:84%
you're always making an
all or none sales decision.

00:34:20.590 --> 00:34:22.920 align:middle line:84%
If everyone is identical,
you either sell to everyone

00:34:22.920 --> 00:34:24.750 align:middle line:90%
or you sell to no one.

00:34:24.750 --> 00:34:27.510 align:middle line:84%
And typically you
sell to everyone

00:34:27.510 --> 00:34:29.260 align:middle line:90%
faced with those two choices.

00:34:29.260 --> 00:34:32.130 align:middle line:84%
So in a homogeneous
population model,

00:34:32.130 --> 00:34:34.270 align:middle line:84%
there's a strong
optimal quality theorem.

00:34:34.270 --> 00:34:35.760 align:middle line:84%
That is, if you
analyze something

00:34:35.760 --> 00:34:37.650 align:middle line:84%
that's a homogeneous
population model,

00:34:37.650 --> 00:34:40.360 align:middle line:84%
you assume the monopolist
is maximizing its profits.

00:34:40.360 --> 00:34:41.860 align:middle line:84%
You're going to
assume it's choosing

00:34:41.860 --> 00:34:43.800 align:middle line:84%
the socially optimal
quality, because there's

00:34:43.800 --> 00:34:45.820 align:middle line:84%
no scope for those
two to be different.

00:34:45.820 --> 00:34:50.960 align:middle line:90%


00:34:50.960 --> 00:34:53.129 align:middle line:90%
Questions on that?

00:34:53.129 --> 00:34:53.629 align:middle line:90%
OK.

00:34:53.629 --> 00:34:56.060 align:middle line:84%
And this optimal
quality reasoning, this

00:34:56.060 --> 00:34:59.380 align:middle line:84%
will come in a few different
times later in the class.

00:34:59.380 --> 00:35:03.730 align:middle line:90%


00:35:03.730 --> 00:35:06.400 align:middle line:90%
Durable goods.

00:35:06.400 --> 00:35:10.570 align:middle line:84%
So in many cases,
people are selling

00:35:10.570 --> 00:35:14.350 align:middle line:84%
durable goods that provide
services over many periods.

00:35:14.350 --> 00:35:16.090 align:middle line:90%
You're selling washing machines.

00:35:16.090 --> 00:35:17.320 align:middle line:90%
You're selling cars.

00:35:17.320 --> 00:35:19.270 align:middle line:90%
You're selling phones.

00:35:19.270 --> 00:35:21.250 align:middle line:84%
Consumers are buying
it today, and they're

00:35:21.250 --> 00:35:23.610 align:middle line:84%
using that same product
in multiple periods.

00:35:23.610 --> 00:35:27.390 align:middle line:90%


00:35:27.390 --> 00:35:29.520 align:middle line:84%
One intuition you'll
have sometimes

00:35:29.520 --> 00:35:32.200 align:middle line:84%
is that this is a
potential advantage.

00:35:32.200 --> 00:35:34.443 align:middle line:84%
Firms can use this
durable goods nature,

00:35:34.443 --> 00:35:36.360 align:middle line:84%
the fact that people buy
it at different times

00:35:36.360 --> 00:35:39.810 align:middle line:84%
to move down the demand curve
and sell the goods first

00:35:39.810 --> 00:35:41.760 align:middle line:84%
to the people who
have high values.

00:35:41.760 --> 00:35:45.260 align:middle line:84%
You have whatever new
Xbox is coming out.

00:35:45.260 --> 00:35:47.760 align:middle line:84%
There's some number of people
who line up outside the store,

00:35:47.760 --> 00:35:49.810 align:middle line:84%
sleeping on the curb
to buy the Xbox.

00:35:49.810 --> 00:35:52.320 align:middle line:84%
They do not get it at
the best possible price.

00:35:52.320 --> 00:35:54.010 align:middle line:90%
They all pay full price.

00:35:54.010 --> 00:35:58.170 align:middle line:84%
And then 14 months later at
Christmas, that same Xbox

00:35:58.170 --> 00:35:59.620 align:middle line:90%
is selling for much, much less.

00:35:59.620 --> 00:36:01.920 align:middle line:84%
And maybe what
Microsoft has done

00:36:01.920 --> 00:36:04.260 align:middle line:84%
is they've walked down
that demand curve,

00:36:04.260 --> 00:36:06.090 align:middle line:84%
first selling it to
the high value people,

00:36:06.090 --> 00:36:07.500 align:middle line:84%
then waiting for the
high value people to buy,

00:36:07.500 --> 00:36:09.375 align:middle line:84%
then selling to the next
highest value people

00:36:09.375 --> 00:36:12.240 align:middle line:84%
and in some sense
trying to discriminate

00:36:12.240 --> 00:36:14.640 align:middle line:84%
between people based on when
they want to buy the good.

00:36:14.640 --> 00:36:19.350 align:middle line:90%


00:36:19.350 --> 00:36:23.850 align:middle line:84%
While somewhat appealing
when you first hear the idea,

00:36:23.850 --> 00:36:27.450 align:middle line:84%
if you think about rational,
forward looking consumers,

00:36:27.450 --> 00:36:30.870 align:middle line:84%
a durable goods monopolist
is competing with itself.

00:36:30.870 --> 00:36:33.940 align:middle line:84%
And you're competing
with your future self.

00:36:33.940 --> 00:36:37.230 align:middle line:84%
And if consumers think
your future self is

00:36:37.230 --> 00:36:40.518 align:middle line:84%
going to lower the
prices of the Xbox,

00:36:40.518 --> 00:36:42.810 align:middle line:84%
they're going to be hesitant
to buy it on the first day

00:36:42.810 --> 00:36:43.950 align:middle line:84%
that it comes out,
because they're

00:36:43.950 --> 00:36:45.867 align:middle line:84%
going to think, why
don't I just wait a month

00:36:45.867 --> 00:36:47.200 align:middle line:90%
and get it when the price drops?

00:36:47.200 --> 00:36:49.867 align:middle line:84%
Or why don't I wait three months
and get it when the price drops

00:36:49.867 --> 00:36:50.400 align:middle line:90%
or whatever?

00:36:50.400 --> 00:36:51.997 align:middle line:84%
And then the consumers
who might have

00:36:51.997 --> 00:36:54.330 align:middle line:84%
bought it six months out are
going to think, why don't I

00:36:54.330 --> 00:36:57.145 align:middle line:84%
wait till Christmas or
whatever, where it's

00:36:57.145 --> 00:36:58.270 align:middle line:90%
the day after Thanksgiving.

00:36:58.270 --> 00:37:00.450 align:middle line:84%
I can get that thing
at half price 7 months,

00:37:00.450 --> 00:37:02.375 align:middle line:84%
14 months after it
comes out or whatever.

00:37:02.375 --> 00:37:05.470 align:middle line:90%


00:37:05.470 --> 00:37:08.740 align:middle line:84%
So first thing I want to
do is just think about

00:37:08.740 --> 00:37:12.610 align:middle line:84%
let's suppose you do have this
model with commitment power

00:37:12.610 --> 00:37:14.420 align:middle line:84%
and with the forward
looking consumers.

00:37:14.420 --> 00:37:16.420 align:middle line:90%
What would you do?

00:37:16.420 --> 00:37:20.320 align:middle line:84%
So simplest model
of commitment power.

00:37:20.320 --> 00:37:22.850 align:middle line:90%
I'm often going to do this--

00:37:22.850 --> 00:37:25.660 align:middle line:84%
I know in some subjects,
especially macro these days,

00:37:25.660 --> 00:37:28.570 align:middle line:84%
everything has to be an infinite
horizon dynamic programming

00:37:28.570 --> 00:37:30.370 align:middle line:90%
model.

00:37:30.370 --> 00:37:32.740 align:middle line:84%
There's certainly plenty
of infinite horizon dynamic

00:37:32.740 --> 00:37:34.120 align:middle line:90%
programming models in IO.

00:37:34.120 --> 00:37:36.608 align:middle line:84%
Often, though, in
class, I'm just

00:37:36.608 --> 00:37:38.650 align:middle line:84%
going to use two period
versions, because I think

00:37:38.650 --> 00:37:41.358 align:middle line:84%
the two period versions give you
a lot of the intuition with much

00:37:41.358 --> 00:37:43.820 align:middle line:84%
less complication than the
Bellman equations would.

00:37:43.820 --> 00:37:45.730 align:middle line:84%
So my simple model
of commitment power.

00:37:45.730 --> 00:37:46.900 align:middle line:90%
There are just two periods.

00:37:46.900 --> 00:37:49.740 align:middle line:84%
Consumers can buy the good at
either t equals 1 or t equals 2.

00:37:49.740 --> 00:37:50.690 align:middle line:90%
So think about it.

00:37:50.690 --> 00:37:52.400 align:middle line:84%
There's t equals 1,
there's t equals 2,

00:37:52.400 --> 00:37:55.870 align:middle line:84%
then the world ends and
everything goes away.

00:37:55.870 --> 00:37:59.080 align:middle line:90%
Good is perfectly durable.

00:37:59.080 --> 00:38:02.860 align:middle line:84%
Consumers, again, are going to
have types theta distributed

00:38:02.860 --> 00:38:04.010 align:middle line:90%
on 0, 1.

00:38:04.010 --> 00:38:06.467 align:middle line:84%
Here I'm going to make
theta the actual value.

00:38:06.467 --> 00:38:09.050 align:middle line:84%
So then I'm going to want theta
to have a distribution capital

00:38:09.050 --> 00:38:10.940 align:middle line:90%
f of theta.

00:38:10.940 --> 00:38:14.780 align:middle line:84%
And so the consumer's utility
is going to be 2 theta minus p

00:38:14.780 --> 00:38:17.360 align:middle line:84%
if they buy it at
t equals 1, theta

00:38:17.360 --> 00:38:19.190 align:middle line:84%
minus p, if they buy
it at t equals 2,

00:38:19.190 --> 00:38:20.790 align:middle line:90%
and 0 if they don't buy.

00:38:20.790 --> 00:38:23.030 align:middle line:84%
So the reasoning is
like a type theta

00:38:23.030 --> 00:38:27.140 align:middle line:84%
consumer gets utility theta
every period they have the good.

00:38:27.140 --> 00:38:28.740 align:middle line:84%
And so they buy
it at t equals 1.

00:38:28.740 --> 00:38:31.065 align:middle line:84%
They get to enjoy the
Xbox in two periods.

00:38:31.065 --> 00:38:32.690 align:middle line:84%
If they buy it at t
equals 2, they only

00:38:32.690 --> 00:38:34.015 align:middle line:90%
get to enjoy it for one period.

00:38:34.015 --> 00:38:36.698 align:middle line:90%


00:38:36.698 --> 00:38:38.990 align:middle line:84%
I'm going to have a constant
marginal cost of producing

00:38:38.990 --> 00:38:40.850 align:middle line:84%
the good, and I'm
going to assume

00:38:40.850 --> 00:38:42.710 align:middle line:84%
the monopolist has
commitment power

00:38:42.710 --> 00:38:44.530 align:middle line:84%
and can set the
price as p1 and p2

00:38:44.530 --> 00:38:46.405 align:middle line:84%
that it's going to charge
in the two periods.

00:38:46.405 --> 00:38:49.550 align:middle line:90%


00:38:49.550 --> 00:38:51.590 align:middle line:84%
Basic observation
in this model is

00:38:51.590 --> 00:38:54.980 align:middle line:84%
that in this model,
as I've written it,

00:38:54.980 --> 00:38:57.120 align:middle line:84%
you don't want to walk
down the demand curve.

00:38:57.120 --> 00:39:00.380 align:middle line:84%
In this model, what
you want to do is sell

00:39:00.380 --> 00:39:01.970 align:middle line:84%
the good at the
monopoly price at t

00:39:01.970 --> 00:39:05.500 align:middle line:84%
equals 1 and commit to make
no sales at all at t equals 2.

00:39:05.500 --> 00:39:09.470 align:middle line:90%


00:39:09.470 --> 00:39:12.020 align:middle line:84%
So in this model,
and obviously there

00:39:12.020 --> 00:39:13.370 align:middle line:90%
are some firms that fit this.

00:39:13.370 --> 00:39:15.560 align:middle line:84%
If you look at Apple's
iPhone pricing,

00:39:15.560 --> 00:39:18.710 align:middle line:84%
it seems like that iPhone
comes out and it's $999

00:39:18.710 --> 00:39:21.260 align:middle line:84%
and everyone knows that
the iPhone 14 is coming out

00:39:21.260 --> 00:39:24.290 align:middle line:84%
literally next week and
the iPhone 13 price still

00:39:24.290 --> 00:39:25.820 align:middle line:90%
has not dropped.

00:39:25.820 --> 00:39:28.610 align:middle line:84%
They've set it at the
monopoly price for iPhone 13s

00:39:28.610 --> 00:39:32.240 align:middle line:84%
and they're going to keep it
there and never sell another one

00:39:32.240 --> 00:39:33.550 align:middle line:90%
until the 14 comes out.

00:39:33.550 --> 00:39:37.560 align:middle line:90%


00:39:37.560 --> 00:39:39.040 align:middle line:90%
Why does this happen?

00:39:39.040 --> 00:39:42.970 align:middle line:84%
Well, I'm going to
think of my theta line.

00:39:42.970 --> 00:39:47.147 align:middle line:84%
So suppose we've
got our consumers.

00:39:47.147 --> 00:39:48.230 align:middle line:90%
They're arranged by theta.

00:39:48.230 --> 00:39:53.860 align:middle line:90%


00:39:53.860 --> 00:39:56.350 align:middle line:84%
What's going to
happen in equilibrium?

00:39:56.350 --> 00:39:59.290 align:middle line:84%
If I have some
policy that involves

00:39:59.290 --> 00:40:02.980 align:middle line:84%
selling the goods
in both periods,

00:40:02.980 --> 00:40:05.950 align:middle line:84%
I'm going to have some
high types who buy at t

00:40:05.950 --> 00:40:14.140 align:middle line:84%
equals 1, some intermediate
types who buy at t equals 2,

00:40:14.140 --> 00:40:17.055 align:middle line:84%
and some lower
types who don't buy.

00:40:17.055 --> 00:40:19.710 align:middle line:90%


00:40:19.710 --> 00:40:21.510 align:middle line:84%
Why is that what's
going to happen?

00:40:21.510 --> 00:40:23.760 align:middle line:84%
Again, it's a revealed
preference argument.

00:40:23.760 --> 00:40:26.640 align:middle line:84%
If this person is willing to
buy the phone at t equals 2,

00:40:26.640 --> 00:40:28.390 align:middle line:90%
this person gets a higher value.

00:40:28.390 --> 00:40:30.280 align:middle line:84%
They strictly prefer
buying it at t equals 2.

00:40:30.280 --> 00:40:34.090 align:middle line:84%
So if anyone is buying it,
everyone higher is buying it.

00:40:34.090 --> 00:40:36.660 align:middle line:84%
So the people buying it
have to be above everyone

00:40:36.660 --> 00:40:38.370 align:middle line:90%
who never buys it.

00:40:38.370 --> 00:40:42.060 align:middle line:90%
And then buying at t equals 1.

00:40:42.060 --> 00:40:44.190 align:middle line:84%
If you buy at t equals 1,
you may pay a high price

00:40:44.190 --> 00:40:46.140 align:middle line:84%
for getting the Xbox
on the first day

00:40:46.140 --> 00:40:49.180 align:middle line:84%
or you can wait and get
it later at a lower price.

00:40:49.180 --> 00:40:52.230 align:middle line:84%
Again, if you prefer
buying it at t equals 1,

00:40:52.230 --> 00:40:54.630 align:middle line:84%
then anyone who's
strictly higher value

00:40:54.630 --> 00:40:57.087 align:middle line:84%
strictly prefers getting
a t equals 1 relative to t

00:40:57.087 --> 00:40:59.670 align:middle line:84%
equals 2 because they're getting
the extra period of enjoyment

00:40:59.670 --> 00:41:00.520 align:middle line:90%
of the good.

00:41:00.520 --> 00:41:04.991 align:middle line:84%
That extra period of enjoyment
is increasing in theta.

00:41:04.991 --> 00:41:08.240 align:middle line:90%
So if I do want--

00:41:08.240 --> 00:41:11.540 align:middle line:84%
often in IO, it often makes
sense to think about the choices

00:41:11.540 --> 00:41:14.900 align:middle line:84%
not in price space,
but in this data space.

00:41:14.900 --> 00:41:18.510 align:middle line:84%
So if I want to implement
this policy, how do I do it?

00:41:18.510 --> 00:41:22.340 align:middle line:84%
Well, for this to be the cut
off between people who buy at t

00:41:22.340 --> 00:41:25.310 align:middle line:84%
equals 2 and don't
buy, obviously you're

00:41:25.310 --> 00:41:29.535 align:middle line:84%
going to have to have
p2 equals theta 2 hat.

00:41:29.535 --> 00:41:31.160 align:middle line:84%
In the second period,
you're selling it

00:41:31.160 --> 00:41:32.750 align:middle line:90%
at a price of theta 2 hat.

00:41:32.750 --> 00:41:35.900 align:middle line:84%
So the people who have utility
values above theta 2 hat

00:41:35.900 --> 00:41:37.010 align:middle line:90%
buy at the second period.

00:41:37.010 --> 00:41:41.250 align:middle line:84%
The people who don't--
utilities below that don't buy.

00:41:41.250 --> 00:41:43.140 align:middle line:90%
What about in the first period?

00:41:43.140 --> 00:41:45.780 align:middle line:84%
In the first period,
you can't sell

00:41:45.780 --> 00:41:48.090 align:middle line:84%
to this guy at a
price of 2 theta

00:41:48.090 --> 00:41:51.270 align:middle line:84%
1 hat, because he'd be
getting 0 utility buying

00:41:51.270 --> 00:41:53.080 align:middle line:90%
at a price of 2 theta 1 hat.

00:41:53.080 --> 00:41:54.900 align:middle line:84%
He would just wait
until the second period

00:41:54.900 --> 00:41:57.180 align:middle line:84%
and buy it at this low price
and get positive utility

00:41:57.180 --> 00:41:59.250 align:middle line:90%
by buying in the second period.

00:41:59.250 --> 00:42:01.440 align:middle line:84%
So what you can do,
the best you can do

00:42:01.440 --> 00:42:05.730 align:middle line:84%
is to chart, set a price so that
the utility he gets from buying

00:42:05.730 --> 00:42:08.195 align:middle line:84%
in the first period
exactly matches

00:42:08.195 --> 00:42:10.320 align:middle line:84%
the utility he could get
from waiting and buying it

00:42:10.320 --> 00:42:11.680 align:middle line:90%
in the second period.

00:42:11.680 --> 00:42:13.650 align:middle line:84%
And so what it
tells you is that p1

00:42:13.650 --> 00:42:17.460 align:middle line:84%
is going to be theta
1 hat bigger than p2.

00:42:17.460 --> 00:42:21.660 align:middle line:84%
So p1 is going to be
theta 1 hat plus theta 2

00:42:21.660 --> 00:42:23.400 align:middle line:90%
hat, which would make sense.

00:42:23.400 --> 00:42:25.020 align:middle line:84%
He's getting the
one extra utility

00:42:25.020 --> 00:42:28.980 align:middle line:90%
of a period of enjoyment.

00:42:28.980 --> 00:42:32.730 align:middle line:84%
So you'd think about what's his
incremental benefit from buying

00:42:32.730 --> 00:42:33.970 align:middle line:90%
it early versus late?

00:42:33.970 --> 00:42:36.070 align:middle line:84%
It's theta 1 hat is his
incremental utility.

00:42:36.070 --> 00:42:39.535 align:middle line:90%
That's what you're charging him.

00:42:39.535 --> 00:42:43.720 align:middle line:84%
So monopolist problem
looks like this.

00:42:43.720 --> 00:42:47.350 align:middle line:84%
Maximize over theta 1
constrained by theta 1 hat

00:42:47.350 --> 00:42:49.180 align:middle line:90%
at least theta 2 hat.

00:42:49.180 --> 00:42:54.940 align:middle line:84%
The price minus cost at t
equals 1 times the number

00:42:54.940 --> 00:42:56.770 align:middle line:84%
of units you sell
at t equals 1, which

00:42:56.770 --> 00:42:59.320 align:middle line:84%
is 1 minus capital
f of theta 1 hat,

00:42:59.320 --> 00:43:04.450 align:middle line:84%
plus profits you get
from second period sales

00:43:04.450 --> 00:43:08.608 align:middle line:84%
times the mass of people who buy
the good in the second period,

00:43:08.608 --> 00:43:10.150 align:middle line:84%
which, again, is
the number of people

00:43:10.150 --> 00:43:13.450 align:middle line:84%
with types between theta
2 hat and theta 1 hat.

00:43:13.450 --> 00:43:16.480 align:middle line:84%
So that's what my profit
function looks like.

00:43:16.480 --> 00:43:19.360 align:middle line:84%
Notice that I've got
two different terms that

00:43:19.360 --> 00:43:21.220 align:middle line:90%
involve theta 2 hat minus c.

00:43:21.220 --> 00:43:23.520 align:middle line:90%
It's here and it's here.

00:43:23.520 --> 00:43:27.700 align:middle line:84%
So if I group those together,
it becomes my-- my profit

00:43:27.700 --> 00:43:31.030 align:middle line:84%
function looks like theta 1
hat times 1 minus f of theta 1

00:43:31.030 --> 00:43:38.410 align:middle line:84%
hat plus theta 2 hat minus
c times this plus this.

00:43:38.410 --> 00:43:41.480 align:middle line:90%
And then these things cancel.

00:43:41.480 --> 00:43:44.660 align:middle line:84%
And so my profit function
is theta 1 hat times

00:43:44.660 --> 00:43:49.520 align:middle line:84%
1 minus f of theta 1 hat plus
theta 2 hat minus c times 1

00:43:49.520 --> 00:43:52.510 align:middle line:90%
minus f of theta 2 hat.

00:43:52.510 --> 00:43:53.775 align:middle line:90%
That's my profit function.

00:43:53.775 --> 00:44:00.660 align:middle line:90%


00:44:00.660 --> 00:44:04.890 align:middle line:84%
Let's assume that the
constraint was not binding.

00:44:04.890 --> 00:44:07.110 align:middle line:84%
So if the constraint
is not binding,

00:44:07.110 --> 00:44:09.022 align:middle line:84%
I actually want to walk
down my demand curve

00:44:09.022 --> 00:44:10.980 align:middle line:84%
and set a high price and
then set a lower price

00:44:10.980 --> 00:44:14.010 align:middle line:90%
in the second period.

00:44:14.010 --> 00:44:17.820 align:middle line:84%
This is just to separate
maximization problems.

00:44:17.820 --> 00:44:21.730 align:middle line:84%
I maximize this with
respect to theta 1 hat.

00:44:21.730 --> 00:44:24.485 align:middle line:84%
I maximize this with
respect to theta 2 hat.

00:44:24.485 --> 00:44:28.440 align:middle line:90%


00:44:28.440 --> 00:44:31.380 align:middle line:84%
Well, now let me go back to
[14.]121 for those of you who

00:44:31.380 --> 00:44:32.580 align:middle line:90%
have taken it.

00:44:32.580 --> 00:44:35.340 align:middle line:84%
[14.]121 last year, [? Parad ?]
did a lot of this functions with

00:44:35.340 --> 00:44:38.100 align:middle line:90%
increasing differences stuff.

00:44:38.100 --> 00:44:41.160 align:middle line:84%
If you look at this
function theta minus c,

00:44:41.160 --> 00:44:44.500 align:middle line:84%
1 minus f of theta, this is like
the monopoly profit function.

00:44:44.500 --> 00:44:49.080 align:middle line:84%
This thing has increasing
differences in c and theta,

00:44:49.080 --> 00:44:52.420 align:middle line:84%
which means that this is
a very general theorem.

00:44:52.420 --> 00:44:54.990 align:middle line:84%
When a monopolist
marginal cost is higher,

00:44:54.990 --> 00:44:56.135 align:middle line:90%
it sets a higher price.

00:44:56.135 --> 00:44:58.660 align:middle line:90%


00:44:58.660 --> 00:45:01.540 align:middle line:84%
This is basically the
monopoly pricing problem

00:45:01.540 --> 00:45:03.340 align:middle line:90%
with a cost of 0.

00:45:03.340 --> 00:45:07.220 align:middle line:84%
This is a monopoly pricing
problem with a cost of c.

00:45:07.220 --> 00:45:09.920 align:middle line:84%
So the maximizer
of this is larger

00:45:09.920 --> 00:45:12.640 align:middle line:90%
than the maximizer of this.

00:45:12.640 --> 00:45:14.860 align:middle line:84%
So if I ignore the
constraint, this

00:45:14.860 --> 00:45:17.080 align:middle line:84%
is the monopoly price
when your cost is c.

00:45:17.080 --> 00:45:19.360 align:middle line:84%
This is the monopoly
price when your cost is 0.

00:45:19.360 --> 00:45:21.490 align:middle line:84%
This tells you that theta
2 hat would be bigger

00:45:21.490 --> 00:45:23.020 align:middle line:90%
than theta 1 hat.

00:45:23.020 --> 00:45:25.810 align:middle line:84%
So if I assume this
constraint is non-binding,

00:45:25.810 --> 00:45:29.740 align:middle line:84%
I get the contradiction that if
that constraint is not binding,

00:45:29.740 --> 00:45:32.950 align:middle line:84%
I find that theta 2 hat is
strictly greater than theta

00:45:32.950 --> 00:45:34.930 align:middle line:84%
1 hat, and that
contradicts the assumption

00:45:34.930 --> 00:45:37.570 align:middle line:84%
that the constraint
is not binding.

00:45:37.570 --> 00:45:38.330 align:middle line:90%
Why is this?

00:45:38.330 --> 00:45:42.460 align:middle line:84%
In some sense, what's
going on here is--

00:45:42.460 --> 00:45:44.590 align:middle line:84%
almost imagine with
this durable good,

00:45:44.590 --> 00:45:47.110 align:middle line:84%
instead of selling those
Xboxes in the first period,

00:45:47.110 --> 00:45:48.045 align:middle line:90%
I rent them to people.

00:45:48.045 --> 00:45:49.670 align:middle line:84%
I get all those people
waiting in line.

00:45:49.670 --> 00:45:52.030 align:middle line:84%
I give them a one period
rental on the Xbox,

00:45:52.030 --> 00:45:53.845 align:middle line:84%
and then I take them
all back and then

00:45:53.845 --> 00:45:55.470 align:middle line:84%
I rent them again in
the second period.

00:45:55.470 --> 00:45:59.134 align:middle line:90%


00:45:59.134 --> 00:46:01.830 align:middle line:84%
Anyone that I'm selling
it to in the first--

00:46:01.830 --> 00:46:03.930 align:middle line:84%
all these people who get
it in the first period,

00:46:03.930 --> 00:46:05.850 align:middle line:84%
they're going to
rent it back from me

00:46:05.850 --> 00:46:08.530 align:middle line:84%
in the second period at
a price of theta 2 hat.

00:46:08.530 --> 00:46:11.280 align:middle line:90%


00:46:11.280 --> 00:46:14.340 align:middle line:84%
When I'm selling extra
units in the first period,

00:46:14.340 --> 00:46:16.770 align:middle line:84%
any extra units I sell
in the first period

00:46:16.770 --> 00:46:19.770 align:middle line:84%
were units that I was going
to sell in the second period

00:46:19.770 --> 00:46:20.890 align:middle line:90%
anyway.

00:46:20.890 --> 00:46:24.995 align:middle line:84%
So the cost of selling
them one period early is 0.

00:46:24.995 --> 00:46:27.920 align:middle line:84%
I'm already producing them
to sell in the second period.

00:46:27.920 --> 00:46:31.530 align:middle line:84%
So given that I'm producing them
to sell in the second period,

00:46:31.530 --> 00:46:34.410 align:middle line:84%
there's 0 cost to me of selling
them in the first period

00:46:34.410 --> 00:46:36.150 align:middle line:90%
instead.

00:46:36.150 --> 00:46:39.060 align:middle line:84%
So it's as if those units
I'm going to sell anyway

00:46:39.060 --> 00:46:42.660 align:middle line:84%
have a marginal cost of 0
instead of a marginal cost of c.

00:46:42.660 --> 00:46:45.420 align:middle line:84%
And so because I'm going to
produce them and sell them

00:46:45.420 --> 00:46:47.230 align:middle line:90%
anyway, they have no cost.

00:46:47.230 --> 00:46:50.610 align:middle line:84%
So that makes me even more want
to sell them rather than less

00:46:50.610 --> 00:46:51.370 align:middle line:90%
want to sell them.

00:46:51.370 --> 00:46:54.920 align:middle line:90%
So this doesn't make any sense.

00:46:54.920 --> 00:46:57.860 align:middle line:84%
So this would say is
that monopolist selling

00:46:57.860 --> 00:47:02.213 align:middle line:84%
durable goods, this whole
idea, it's a strictly bad idea

00:47:02.213 --> 00:47:04.130 align:middle line:84%
to walk down your demand
curve, because you're

00:47:04.130 --> 00:47:07.110 align:middle line:84%
taking these goods that you're
going to produce anyway.

00:47:07.110 --> 00:47:09.440 align:middle line:84%
They really have no cost
to selling to people early,

00:47:09.440 --> 00:47:12.510 align:middle line:84%
and you're losing those
people's enjoyment.

00:47:12.510 --> 00:47:14.390 align:middle line:90%
It doesn't make any sense.

00:47:14.390 --> 00:47:16.388 align:middle line:84%
These ones, you have to
be hesitant to produce

00:47:16.388 --> 00:47:17.430 align:middle line:90%
because they have a cost.

00:47:17.430 --> 00:47:20.480 align:middle line:84%
These ones have no
cost of production.

00:47:20.480 --> 00:47:25.940 align:middle line:84%
So in some sense, someone
at Apple saw this lecture,

00:47:25.940 --> 00:47:27.990 align:middle line:84%
they realized this
is what you do.

00:47:27.990 --> 00:47:30.050 align:middle line:84%
You do not bring
out the new iPhone

00:47:30.050 --> 00:47:31.790 align:middle line:84%
and then make its
price go down and let

00:47:31.790 --> 00:47:33.660 align:middle line:90%
people wait for the price cut.

00:47:33.660 --> 00:47:34.860 align:middle line:90%
You just bring it out.

00:47:34.860 --> 00:47:36.420 align:middle line:90%
You fix the price forever.

00:47:36.420 --> 00:47:38.360 align:middle line:84%
And that's the optimal
monopoly pricing

00:47:38.360 --> 00:47:39.520 align:middle line:90%
policy with durable goods.

00:47:39.520 --> 00:47:49.758 align:middle line:90%


00:47:49.758 --> 00:47:51.050 align:middle line:90%
Simple numerical example there.

00:47:51.050 --> 00:47:52.175 align:middle line:90%
I don't need to go over it.

00:47:52.175 --> 00:47:56.580 align:middle line:84%
So where would price drops
come from in real life?

00:47:56.580 --> 00:47:59.088 align:middle line:90%


00:47:59.088 --> 00:48:00.880 align:middle line:84%
Obviously we need to
do something different

00:48:00.880 --> 00:48:05.170 align:middle line:84%
from this model to get prices
of new goods to come out.

00:48:05.170 --> 00:48:06.610 align:middle line:84%
I think we do
often have the view

00:48:06.610 --> 00:48:08.207 align:middle line:90%
that there are many new things.

00:48:08.207 --> 00:48:09.290 align:middle line:90%
The new product comes out.

00:48:09.290 --> 00:48:10.240 align:middle line:90%
It's got a really high price.

00:48:10.240 --> 00:48:13.070 align:middle line:84%
And then if you wait for it, the
price will decline over time.

00:48:13.070 --> 00:48:14.790 align:middle line:90%
Why does that happen?

00:48:14.790 --> 00:48:17.410 align:middle line:90%


00:48:17.410 --> 00:48:20.800 align:middle line:84%
One thing you can get is
different preferences.

00:48:20.800 --> 00:48:22.660 align:middle line:84%
Suppose the people
get utility not

00:48:22.660 --> 00:48:24.400 align:middle line:84%
from enjoying the
good, for instance,

00:48:24.400 --> 00:48:28.120 align:middle line:84%
but from having the Xbox
before any of their friends do.

00:48:28.120 --> 00:48:30.227 align:middle line:84%
I'm the one guy who
has the brand new Xbox.

00:48:30.227 --> 00:48:32.060 align:middle line:84%
Everyone has to come
to my house to play it.

00:48:32.060 --> 00:48:34.870 align:middle line:84%
I somehow get status
in my friend group

00:48:34.870 --> 00:48:38.860 align:middle line:84%
out of being the guy
with the new Xbox.

00:48:38.860 --> 00:48:41.290 align:middle line:90%
Fashion clothing.

00:48:41.290 --> 00:48:42.070 align:middle line:90%
Clothes come out.

00:48:42.070 --> 00:48:43.810 align:middle line:90%
Fashion designers introduce it.

00:48:43.810 --> 00:48:45.890 align:middle line:84%
Someone has a copy some
number of months later.

00:48:45.890 --> 00:48:51.200 align:middle line:84%
But the people who wear the
$3,000 dresses get utility from

00:48:51.200 --> 00:48:53.960 align:middle line:84%
knowing that they have the
genuine $3,000 dress that no one

00:48:53.960 --> 00:48:57.180 align:middle line:84%
else has because it's just
the new good that comes out.

00:48:57.180 --> 00:49:00.410 align:middle line:84%
So if you give people
preferences for owning goods

00:49:00.410 --> 00:49:03.050 align:middle line:84%
that other people
don't have, then it

00:49:03.050 --> 00:49:05.630 align:middle line:84%
can make total sense to
have some set of people--

00:49:05.630 --> 00:49:08.360 align:middle line:84%
in some sense, almost
that's going back

00:49:08.360 --> 00:49:10.250 align:middle line:90%
to an optimal quality theorem.

00:49:10.250 --> 00:49:11.720 align:middle line:84%
If there are people out there
who have a high willingness

00:49:11.720 --> 00:49:13.760 align:middle line:84%
to pay for things that
other people don't have,

00:49:13.760 --> 00:49:15.380 align:middle line:84%
you create a high
quality product,

00:49:15.380 --> 00:49:17.880 align:middle line:84%
which is a product that other
people don't have, and sell it

00:49:17.880 --> 00:49:18.740 align:middle line:90%
to them.

00:49:18.740 --> 00:49:20.450 align:middle line:84%
And then maybe
once you've sold it

00:49:20.450 --> 00:49:22.520 align:middle line:84%
to people who have
those preferences,

00:49:22.520 --> 00:49:24.980 align:middle line:84%
then you can sell it to
the other people later.

00:49:24.980 --> 00:49:29.900 align:middle line:84%
So that would be one way
you can get early adopters.

00:49:29.900 --> 00:49:32.780 align:middle line:84%
I think another thing that often
comes up in the tech sector

00:49:32.780 --> 00:49:38.120 align:middle line:84%
is just costs that are changing
over time or costs that

00:49:38.120 --> 00:49:40.940 align:middle line:84%
are changing over time because
of technological improvements,

00:49:40.940 --> 00:49:43.280 align:middle line:84%
because of learning by
doing, because of capacity

00:49:43.280 --> 00:49:45.080 align:middle line:90%
constraints at the factories.

00:49:45.080 --> 00:49:48.420 align:middle line:84%
Early on, it's very
costly to produce goods.

00:49:48.420 --> 00:49:49.230 align:middle line:90%
The costs are high.

00:49:49.230 --> 00:49:50.930 align:middle line:90%
Therefore, you set a high price.

00:49:50.930 --> 00:49:54.598 align:middle line:84%
As the technology
level changes, it

00:49:54.598 --> 00:49:56.640 align:middle line:84%
becomes cheaper and cheaper
to produce that good.

00:49:56.640 --> 00:49:59.060 align:middle line:90%
You get better at producing it.

00:49:59.060 --> 00:50:00.530 align:middle line:90%
Your costs go down.

00:50:00.530 --> 00:50:05.710 align:middle line:90%
You drop your price as a result.

00:50:05.710 --> 00:50:12.100 align:middle line:84%
Third explanation is firms
may have a commitment problem.

00:50:12.100 --> 00:50:18.250 align:middle line:84%
That is, if you think about how
is this pricing supposed to go.

00:50:18.250 --> 00:50:21.110 align:middle line:90%
I bring out my new phone.

00:50:21.110 --> 00:50:24.478 align:middle line:90%
I price it at $1,000.

00:50:24.478 --> 00:50:26.770 align:middle line:84%
Everyone who wants that new
phone comes out and buys it

00:50:26.770 --> 00:50:27.910 align:middle line:90%
at $1,000.

00:50:27.910 --> 00:50:30.100 align:middle line:84%
And then I'm supposed to
sell, in this example,

00:50:30.100 --> 00:50:34.660 align:middle line:84%
without phones that break, I
sell none for the next two years

00:50:34.660 --> 00:50:36.800 align:middle line:84%
or whatever until my
new product comes out.

00:50:36.800 --> 00:50:38.630 align:middle line:84%
So I sell a whole
bunch of phones.

00:50:38.630 --> 00:50:40.160 align:middle line:90%
I keep the price high.

00:50:40.160 --> 00:50:41.540 align:middle line:84%
Everyone bought
it at t equals 1.

00:50:41.540 --> 00:50:43.323 align:middle line:90%
No one buys it at t equals 2.

00:50:43.323 --> 00:50:45.490 align:middle line:84%
If you imagine the firm
sitting there at t equals 2,

00:50:45.490 --> 00:50:47.740 align:middle line:84%
they must be thinking
once everyone has already

00:50:47.740 --> 00:50:52.060 align:middle line:84%
bought the product, if this
was not like any repeated game,

00:50:52.060 --> 00:50:55.400 align:middle line:84%
imagine this was the last iPhone
that was ever going to exist.

00:50:55.400 --> 00:50:57.080 align:middle line:90%
Why keep selling 0?

00:50:57.080 --> 00:51:00.895 align:middle line:84%
Why not take all those
people who have low values?

00:51:00.895 --> 00:51:02.770 align:middle line:84%
The other people are
going to be disappointed

00:51:02.770 --> 00:51:04.540 align:middle line:84%
when you cut the price and
wish they had bought it later,

00:51:04.540 --> 00:51:06.860 align:middle line:84%
but it's too late for them
to actually buy it later.

00:51:06.860 --> 00:51:09.988 align:middle line:84%
Once you've already sold the
phones, it is optimal for you

00:51:09.988 --> 00:51:12.280 align:middle line:84%
then in the second period to
go ahead and cut the price

00:51:12.280 --> 00:51:15.130 align:middle line:90%
and sell to more people.

00:51:15.130 --> 00:51:18.760 align:middle line:84%
And so if you
don't have some way

00:51:18.760 --> 00:51:22.480 align:middle line:84%
to commit yourself not to
lower the price after all

00:51:22.480 --> 00:51:24.730 align:middle line:84%
the early adopters
have bought, you're

00:51:24.730 --> 00:51:26.212 align:middle line:84%
going to want to
lower the price.

00:51:26.212 --> 00:51:28.420 align:middle line:84%
And then once you're going
to want to lower the price

00:51:28.420 --> 00:51:29.830 align:middle line:84%
and equilibrium, you
will lower the price

00:51:29.830 --> 00:51:31.390 align:middle line:84%
and then you'll be in
the position of everyone

00:51:31.390 --> 00:51:33.740 align:middle line:84%
in the first period thinking
you're going to lower the price

00:51:33.740 --> 00:51:36.323 align:middle line:84%
and not buy it because the price
is too high given what you're

00:51:36.323 --> 00:51:38.570 align:middle line:90%
going to lower it to and so on.

00:51:38.570 --> 00:51:41.840 align:middle line:84%
So firms could be
lowering prices

00:51:41.840 --> 00:51:49.100 align:middle line:84%
because they lack the ability to
commit to a pricing structure.

00:51:49.100 --> 00:51:51.710 align:middle line:84%
So for instance, if
you think about Apple

00:51:51.710 --> 00:51:54.110 align:middle line:84%
versus some company that's
a new startup that may never

00:51:54.110 --> 00:51:56.420 align:middle line:84%
have a second phone,
you could imagine

00:51:56.420 --> 00:51:58.940 align:middle line:84%
that Apple is able to
commit because they

00:51:58.940 --> 00:52:00.380 align:middle line:90%
have some reputation.

00:52:00.380 --> 00:52:02.120 align:middle line:84%
A new entrant is
not able to commit,

00:52:02.120 --> 00:52:04.473 align:middle line:84%
because no one knows if
they're going to be around.

00:52:04.473 --> 00:52:06.140 align:middle line:84%
We don't know that
they're a firm that's

00:52:06.140 --> 00:52:07.470 align:middle line:90%
not going to cut the price.

00:52:07.470 --> 00:52:09.442 align:middle line:84%
And so it may be that
that's a disadvantage

00:52:09.442 --> 00:52:11.900 align:middle line:84%
that you get if you're not
someone who is known to be there

00:52:11.900 --> 00:52:13.160 align:middle line:84%
for a long time
and known to have

00:52:13.160 --> 00:52:14.620 align:middle line:84%
this reputation
for high pricing.

00:52:14.620 --> 00:52:18.610 align:middle line:90%


00:52:18.610 --> 00:52:22.030 align:middle line:84%
I put on the slides, I don't
want to take the time to do it.

00:52:22.030 --> 00:52:26.770 align:middle line:84%
In some sense, I think
that over time people in IO

00:52:26.770 --> 00:52:29.110 align:middle line:84%
believe less and less
in commitment problems

00:52:29.110 --> 00:52:31.600 align:middle line:84%
and in firms being unable
to exploit their monopoly

00:52:31.600 --> 00:52:34.280 align:middle line:84%
power because they have these
severe commitment problems.

00:52:34.280 --> 00:52:38.890 align:middle line:84%
But anyway, I put on the slide
a simple numerical example

00:52:38.890 --> 00:52:42.550 align:middle line:84%
of imagine theta
was uniform 0, 1.

00:52:42.550 --> 00:52:43.940 align:middle line:90%
Cost was 0.

00:52:43.940 --> 00:52:46.090 align:middle line:90%
d of p is 1 minus p.

00:52:46.090 --> 00:52:48.635 align:middle line:90%
What is it that you do?

00:52:48.635 --> 00:52:50.260 align:middle line:84%
And without worrying
about the algebra,

00:52:50.260 --> 00:52:51.510 align:middle line:90%
you can look at it afterwards.

00:52:51.510 --> 00:52:52.518 align:middle line:90%
What you do is--

00:52:52.518 --> 00:52:53.810 align:middle line:90%
do I have it on the next slide?

00:52:53.810 --> 00:52:55.270 align:middle line:90%
Yeah.

00:52:55.270 --> 00:53:00.400 align:middle line:84%
Whereas in this model, if you
were a monopolist with d of p

00:53:00.400 --> 00:53:05.340 align:middle line:84%
as 1 minus p and two periods,
the monopoly price is 1/2 per

00:53:05.340 --> 00:53:05.840 align:middle line:90%
period.

00:53:05.840 --> 00:53:07.630 align:middle line:90%
So you'd set a price of 1.

00:53:07.630 --> 00:53:10.510 align:middle line:84%
And so what you get, instead of
setting a price of one and then

00:53:10.510 --> 00:53:13.210 align:middle line:84%
sticking to it and selling
to half the consumers,

00:53:13.210 --> 00:53:16.340 align:middle line:84%
the solution turns out to be a
set price of 9/10 in the first

00:53:16.340 --> 00:53:19.950 align:middle line:84%
period and then drop it to
3/10 in the first period.

00:53:19.950 --> 00:53:22.220 align:middle line:84%
You sell to some people,
but less than half

00:53:22.220 --> 00:53:24.620 align:middle line:84%
in the first period, even
though your price is lower.

00:53:24.620 --> 00:53:28.070 align:middle line:84%
And then you sell to some
people in the second period.

00:53:28.070 --> 00:53:32.750 align:middle line:84%
So two things that come out in
this simple algebraic example

00:53:32.750 --> 00:53:36.120 align:middle line:84%
is you get a decreasing
price sequence.

00:53:36.120 --> 00:53:37.700 align:middle line:90%
This is the commitment problem.

00:53:37.700 --> 00:53:39.920 align:middle line:84%
The price sequence
has to go down

00:53:39.920 --> 00:53:41.873 align:middle line:84%
because if your
price didn't go down,

00:53:41.873 --> 00:53:43.790 align:middle line:84%
no one would buy in the
second period and then

00:53:43.790 --> 00:53:46.165 align:middle line:84%
the second period, you would
be getting 0 profits instead

00:53:46.165 --> 00:53:47.280 align:middle line:90%
of positive profits.

00:53:47.280 --> 00:53:50.690 align:middle line:84%
So in a problem with commitment,
you always get p2 less than 1/2

00:53:50.690 --> 00:53:51.830 align:middle line:90%
p1.

00:53:51.830 --> 00:53:56.060 align:middle line:84%
And you always get profits are
lower without commitment than

00:53:56.060 --> 00:54:00.200 align:middle line:84%
with commitment, because if the
profits were better with this

00:54:00.200 --> 00:54:03.530 align:middle line:84%
9/10, 3/10 thing, that's what
you would have chosen when you

00:54:03.530 --> 00:54:04.970 align:middle line:90%
had commitment power.

00:54:04.970 --> 00:54:06.680 align:middle line:84%
So commitment power
is always the best

00:54:06.680 --> 00:54:08.690 align:middle line:84%
you can do when you
have commitment power.

00:54:08.690 --> 00:54:12.500 align:middle line:84%
So what you do in these sort
of problems with a self control

00:54:12.500 --> 00:54:14.570 align:middle line:84%
problem is always you
earn lower profits

00:54:14.570 --> 00:54:16.195 align:middle line:84%
and you do walk down
your demand curve.

00:54:16.195 --> 00:54:18.960 align:middle line:90%


00:54:18.960 --> 00:54:24.820 align:middle line:84%
So firms lacking this ability
to commit is one explanation.

00:54:24.820 --> 00:54:26.838 align:middle line:84%
And firms are worse
off because they

00:54:26.838 --> 00:54:28.880 align:middle line:84%
can't commit to doing what
they would like to do.

00:54:28.880 --> 00:54:32.790 align:middle line:90%


00:54:32.790 --> 00:54:33.930 align:middle line:90%
OK.

00:54:33.930 --> 00:54:38.790 align:middle line:84%
The Coase conjecture is even
more extreme commitment problem.

00:54:38.790 --> 00:54:42.300 align:middle line:84%
I think in the
1970s or whatever,

00:54:42.300 --> 00:54:46.470 align:middle line:84%
this was something the Chicago
School of Economics took

00:54:46.470 --> 00:54:49.890 align:middle line:84%
seriously that if a monopolist
has no market power and has

00:54:49.890 --> 00:54:52.650 align:middle line:84%
to price at marginal cost
because commitment power is

00:54:52.650 --> 00:54:53.770 align:middle line:90%
so severe.

00:54:53.770 --> 00:54:56.460 align:middle line:84%
So the Coase conjecture
is let's take

00:54:56.460 --> 00:55:00.450 align:middle line:84%
the extreme version of this
where I set a price at t

00:55:00.450 --> 00:55:01.240 align:middle line:90%
equals 0.

00:55:01.240 --> 00:55:04.620 align:middle line:84%
I set a price at delta t, which
you think of as one day later, 2

00:55:04.620 --> 00:55:07.470 align:middle line:90%
delta t, 3 delta t, and so on.

00:55:07.470 --> 00:55:12.000 align:middle line:84%
And assume that consumers have
utility theta e to the minus rt

00:55:12.000 --> 00:55:14.880 align:middle line:90%
if they purchase at time t.

00:55:14.880 --> 00:55:17.790 align:middle line:90%
So consumers are discounting.

00:55:17.790 --> 00:55:21.480 align:middle line:84%
Firms are setting their prices
over and over and over again,

00:55:21.480 --> 00:55:24.150 align:middle line:84%
and the consumers have this kind
of discounted expected utility

00:55:24.150 --> 00:55:26.070 align:middle line:90%
and are forward looking.

00:55:26.070 --> 00:55:29.610 align:middle line:84%
The Coase conjecture says
that under some conditions,

00:55:29.610 --> 00:55:35.050 align:middle line:84%
the monopolist profits go
to 0 as delta t goes to 0.

00:55:35.050 --> 00:55:37.930 align:middle line:84%
So if you make this
severe commitment problem

00:55:37.930 --> 00:55:39.940 align:middle line:84%
that every day I'm going
to choose a new price,

00:55:39.940 --> 00:55:42.315 align:middle line:84%
every day I'm going to choose
a new price with no ability

00:55:42.315 --> 00:55:45.040 align:middle line:84%
to commit to that
price, the theorem

00:55:45.040 --> 00:55:50.530 align:middle line:84%
is that actually the more often
you can change your price,

00:55:50.530 --> 00:55:53.830 align:middle line:84%
the more severe this
commitment problem gets.

00:55:53.830 --> 00:55:56.860 align:middle line:84%
And in the limit as delta t goes
to 0, what you do is basically

00:55:56.860 --> 00:55:57.900 align:middle line:90%
you do almost like that.

00:55:57.900 --> 00:56:00.490 align:middle line:90%


00:56:00.490 --> 00:56:02.560 align:middle line:84%
You start your price
out closer to 1,

00:56:02.560 --> 00:56:06.490 align:middle line:84%
but then it just drops to 0 and
it goes to 0 almost instantly.

00:56:06.490 --> 00:56:08.950 align:middle line:84%
And in the limit as delta
t goes to 0, and in fact,

00:56:08.950 --> 00:56:11.740 align:middle line:84%
your price goes to 0
instantly and the monopolist

00:56:11.740 --> 00:56:13.110 align:middle line:90%
earns 0 profits at all.

00:56:13.110 --> 00:56:19.200 align:middle line:90%


00:56:19.200 --> 00:56:20.610 align:middle line:90%
Why does this happen?

00:56:20.610 --> 00:56:23.178 align:middle line:90%


00:56:23.178 --> 00:56:24.720 align:middle line:84%
Again, it's the
example, the argument

00:56:24.720 --> 00:56:27.670 align:middle line:84%
is really there's nothing else
that could happen in this model.

00:56:27.670 --> 00:56:33.090 align:middle line:84%
So suppose I did
this example where

00:56:33.090 --> 00:56:36.180 align:middle line:84%
if I have commitment power,
I just set the price at 1

00:56:36.180 --> 00:56:37.180 align:middle line:90%
and never change it.

00:56:37.180 --> 00:56:40.560 align:middle line:84%
So if I put time on this
axis and p of t on this axis,

00:56:40.560 --> 00:56:43.030 align:middle line:84%
this is what the
monopolist wants to do.

00:56:43.030 --> 00:56:45.920 align:middle line:90%
And when you have no--

00:56:45.920 --> 00:56:47.990 align:middle line:84%
when you had two periods,
I think I showed you

00:56:47.990 --> 00:56:50.250 align:middle line:90%
that this is some sense.

00:56:50.250 --> 00:56:51.990 align:middle line:90%
That's what the monopolist does.

00:56:51.990 --> 00:56:54.690 align:middle line:84%
It sets the price here and
then drops the price down.

00:56:54.690 --> 00:56:56.990 align:middle line:84%
If you have three
periods, the monopolist

00:56:56.990 --> 00:56:58.550 align:middle line:84%
is going to do
something like this,

00:56:58.550 --> 00:57:03.940 align:middle line:84%
set the price here, set the
price here, set the price here.

00:57:03.940 --> 00:57:06.370 align:middle line:84%
Imagine the prices
didn't go to 0.

00:57:06.370 --> 00:57:09.400 align:middle line:84%
If prices didn't go to 0, it
must be when you do this thing

00:57:09.400 --> 00:57:13.390 align:middle line:84%
and very rapidly, you
get some smooth curve.

00:57:13.390 --> 00:57:19.000 align:middle line:84%
Like this is what the monopolist
does when it's changing prices

00:57:19.000 --> 00:57:20.540 align:middle line:90%
every second.

00:57:20.540 --> 00:57:25.000 align:middle line:84%
It just drops its price
smoothly over time.

00:57:25.000 --> 00:57:31.660 align:middle line:84%
But dropping your price smoothly
over time at a finite slope just

00:57:31.660 --> 00:57:33.610 align:middle line:90%
isn't going to ever be optimal.

00:57:33.610 --> 00:57:35.120 align:middle line:90%
And why is that?

00:57:35.120 --> 00:57:39.880 align:middle line:84%
The reason is that imagine this
was what you were going to do

00:57:39.880 --> 00:57:43.750 align:middle line:84%
and you decided this time to
instead of charging this price,

00:57:43.750 --> 00:57:46.240 align:middle line:84%
I'm just going to
jump ahead one period

00:57:46.240 --> 00:57:50.780 align:middle line:84%
and charge this price instead
and then follow the same path.

00:57:50.780 --> 00:57:53.080 align:middle line:84%
So I just say, OK,
this one period, I'm

00:57:53.080 --> 00:57:55.510 align:middle line:84%
just going to jump ahead and
charge that price instead

00:57:55.510 --> 00:57:57.230 align:middle line:90%
of this price.

00:57:57.230 --> 00:58:00.860 align:middle line:84%
If I jump ahead one period,
I move all future sales back

00:58:00.860 --> 00:58:03.400 align:middle line:90%
by delta t.

00:58:03.400 --> 00:58:12.080 align:middle line:84%
The gain for moving those things
ahead is first order in delta t.

00:58:12.080 --> 00:58:14.610 align:middle line:84%
Because it's got an e to
the minus delta t in it.

00:58:14.610 --> 00:58:17.150 align:middle line:84%
I just move sales
forward one period.

00:58:17.150 --> 00:58:22.720 align:middle line:84%
What have I lost by dropping
the price from this to this?

00:58:22.720 --> 00:58:26.570 align:middle line:84%
Well, I could have earned this
price on this tiny, tiny number

00:58:26.570 --> 00:58:28.580 align:middle line:90%
of units I sell in that period.

00:58:28.580 --> 00:58:31.380 align:middle line:84%
I now get this price
on those units.

00:58:31.380 --> 00:58:36.740 align:middle line:84%
And so my loss from
having jumped forward

00:58:36.740 --> 00:58:39.980 align:middle line:90%
is this thing times this thing.

00:58:39.980 --> 00:58:43.490 align:middle line:84%
That's second order in delta t,
because the number of products

00:58:43.490 --> 00:58:46.670 align:middle line:84%
I'm selling in each delta t
unit interval is like a delta t,

00:58:46.670 --> 00:58:49.160 align:middle line:84%
proportional to delta
t, and the price drops

00:58:49.160 --> 00:58:51.200 align:middle line:90%
are proportional to delta t.

00:58:51.200 --> 00:58:55.375 align:middle line:84%
So the gain for moving things
forward would be first order.

00:58:55.375 --> 00:58:57.750 align:middle line:84%
The loss for moving things
forward would be second order.

00:58:57.750 --> 00:58:59.880 align:middle line:84%
So you would always want
to move things forward.

00:58:59.880 --> 00:59:01.820 align:middle line:84%
And so what must be
the case is it's not

00:59:01.820 --> 00:59:04.220 align:middle line:84%
the case that these things
are both order delta t.

00:59:04.220 --> 00:59:07.310 align:middle line:84%
It's got to be that
this thing is falling

00:59:07.310 --> 00:59:10.670 align:middle line:84%
at a nearly infinite rate
so that the loss and gains

00:59:10.670 --> 00:59:13.420 align:middle line:90%
both become first order.

00:59:13.420 --> 00:59:15.580 align:middle line:84%
So anyway, so the
Coase conjecture

00:59:15.580 --> 00:59:19.090 align:middle line:84%
says there are some conditions
under which this happens.

00:59:19.090 --> 00:59:22.032 align:middle line:84%
There's a big literature
on the Coase conjecture.

00:59:22.032 --> 00:59:24.490 align:middle line:84%
If you read the Fudenberg,
Tirole Game Theory textbook, not

00:59:24.490 --> 00:59:27.790 align:middle line:84%
the IO textbook, it's got
pages and pages and pages

00:59:27.790 --> 00:59:29.440 align:middle line:84%
proving versions
of Coase theorem.

00:59:29.440 --> 00:59:32.620 align:middle line:90%
I think an IO right now--

00:59:32.620 --> 00:59:34.210 align:middle line:84%
I should say it's
Coase conjecture

00:59:34.210 --> 00:59:35.530 align:middle line:84%
even though it's a
theorem, whereas the Coase

00:59:35.530 --> 00:59:36.890 align:middle line:90%
theorem is really a conjecture.

00:59:36.890 --> 00:59:39.115 align:middle line:84%
But the Coase
conjecture is true.

00:59:39.115 --> 00:59:39.740 align:middle line:90%
It's a theorem.

00:59:39.740 --> 00:59:42.670 align:middle line:84%
People have proved it
under various assumptions.

00:59:42.670 --> 00:59:44.570 align:middle line:90%
Why isn't it true?

00:59:44.570 --> 00:59:48.195 align:middle line:84%
There's more of a literature
in IO on why it doesn't happen,

00:59:48.195 --> 00:59:49.570 align:middle line:84%
and I don't think
anyone believes

00:59:49.570 --> 00:59:50.940 align:middle line:90%
it should happen these days.

00:59:50.940 --> 00:59:52.110 align:middle line:90%
Why wouldn't it happen.

00:59:52.110 --> 00:59:57.710 align:middle line:84%
First of all, firms don't
change their price every day.

00:59:57.710 --> 00:59:59.597 align:middle line:84%
It takes time to
change your price.

00:59:59.597 --> 01:00:01.930 align:middle line:84%
In particular, it takes time
after you change your price

01:00:01.930 --> 01:00:04.300 align:middle line:84%
for all consumers who are
supposed to buy at that price

01:00:04.300 --> 01:00:05.580 align:middle line:90%
to buy at that price.

01:00:05.580 --> 01:00:08.410 align:middle line:84%
So if you decide I'm going
to sell my phone for--

01:00:08.410 --> 01:00:12.100 align:middle line:84%
my Xbox at $399
instead of $459, you're

01:00:12.100 --> 01:00:14.690 align:middle line:84%
going to have to wait a month
for all the $399 consumers

01:00:14.690 --> 01:00:16.410 align:middle line:84%
to get around to coming
in and buying it.

01:00:16.410 --> 01:00:19.570 align:middle line:84%
So it's not like the
consumer's buying instantly.

01:00:19.570 --> 01:00:20.990 align:middle line:90%
It's also costly.

01:00:20.990 --> 01:00:23.990 align:middle line:84%
You're not going to change
your price every day.

01:00:23.990 --> 01:00:26.540 align:middle line:84%
Firms like Apple
can have reputations

01:00:26.540 --> 01:00:29.630 align:middle line:90%
for not buying their goods.

01:00:29.630 --> 01:00:32.180 align:middle line:84%
You can also have inflows
of new high willingness

01:00:32.180 --> 01:00:33.005 align:middle line:90%
to pay customers.

01:00:33.005 --> 01:00:34.880 align:middle line:84%
So even if Apple didn't
have this reputation,

01:00:34.880 --> 01:00:36.920 align:middle line:84%
there are people who are
very high value iPhone

01:00:36.920 --> 01:00:38.630 align:middle line:90%
users whose phones break.

01:00:38.630 --> 01:00:40.130 align:middle line:84%
And then when
their phones break,

01:00:40.130 --> 01:00:43.670 align:middle line:84%
those new high theta people show
up wanting to buy a new iPhone.

01:00:43.670 --> 01:00:47.270 align:middle line:84%
So in some sense, there's always
high theta people showing up

01:00:47.270 --> 01:00:47.930 align:middle line:90%
in the market.

01:00:47.930 --> 01:00:50.097 align:middle line:84%
And with high theta people
showing up in the market,

01:00:50.097 --> 01:00:53.065 align:middle line:84%
that gives you another reason
to keep your prices high.

01:00:53.065 --> 01:00:59.090 align:middle line:90%


01:00:59.090 --> 01:01:01.800 align:middle line:84%
Consumers not being all
rational and forward looking.

01:01:01.800 --> 01:01:05.390 align:middle line:84%
Again, that argument that I
gave you was all the consumers

01:01:05.390 --> 01:01:08.360 align:middle line:84%
are anticipating the
future price drops.

01:01:08.360 --> 01:01:12.080 align:middle line:84%
If you have some consumers who
don't realize the price is going

01:01:12.080 --> 01:01:14.120 align:middle line:84%
to drop, then
you're going to want

01:01:14.120 --> 01:01:15.995 align:middle line:84%
to exploit the consumers
who don't understand

01:01:15.995 --> 01:01:17.412 align:middle line:84%
that the prices
are going to drop.

01:01:17.412 --> 01:01:19.220 align:middle line:84%
That's going to change
that first order

01:01:19.220 --> 01:01:22.070 align:middle line:90%
condition I gave you.

01:01:22.070 --> 01:01:24.750 align:middle line:84%
There are also many
strategic reasons.

01:01:24.750 --> 01:01:28.790 align:middle line:84%
So, for instance,
you can rent the good

01:01:28.790 --> 01:01:31.040 align:middle line:90%
rather than selling the good.

01:01:31.040 --> 01:01:32.973 align:middle line:84%
Like in the old
days, it used to be

01:01:32.973 --> 01:01:35.390 align:middle line:84%
that AT&T, when they were a
phone monopolist in the United

01:01:35.390 --> 01:01:37.160 align:middle line:90%
States, didn't sell telephones.

01:01:37.160 --> 01:01:38.582 align:middle line:90%
They only rented telephones.

01:01:38.582 --> 01:01:40.790 align:middle line:84%
And you had to rent your
phone from AT&T. They didn't

01:01:40.790 --> 01:01:42.660 align:middle line:90%
offer sales as an option.

01:01:42.660 --> 01:01:45.800 align:middle line:84%
When Xerox first started
selling copy machines,

01:01:45.800 --> 01:01:47.760 align:middle line:90%
they didn't sell copy machines.

01:01:47.760 --> 01:01:48.960 align:middle line:90%
They rented copy machines.

01:01:48.960 --> 01:01:50.780 align:middle line:84%
If you rent them
instead of selling them,

01:01:50.780 --> 01:01:52.550 align:middle line:84%
you don't face this
commitment problem,

01:01:52.550 --> 01:01:54.740 align:middle line:84%
because just every month you're
renting to your current set

01:01:54.740 --> 01:01:55.400 align:middle line:90%
of consumers.

01:01:55.400 --> 01:01:57.690 align:middle line:84%
You're setting your optimal
price to keep renting it.

01:01:57.690 --> 01:01:59.240 align:middle line:90%
That is the monopoly price.

01:01:59.240 --> 01:02:01.830 align:middle line:90%


01:02:01.830 --> 01:02:04.170 align:middle line:84%
The other thing you can
do is a tricky thing

01:02:04.170 --> 01:02:06.340 align:middle line:84%
that seems like it's
favorable to your customers.

01:02:06.340 --> 01:02:08.830 align:middle line:84%
You can say, I have this very
customer friendly policy.

01:02:08.830 --> 01:02:11.970 align:middle line:84%
If I ever sell this iPhone to
any customer at a lower price

01:02:11.970 --> 01:02:15.270 align:middle line:84%
than I sold it to you, I'm going
to rebate you the difference

01:02:15.270 --> 01:02:16.060 align:middle line:90%
automatically.

01:02:16.060 --> 01:02:17.893 align:middle line:84%
It's going to come back
to your credit card.

01:02:17.893 --> 01:02:20.677 align:middle line:84%
It's a best price
guarantee that you never

01:02:20.677 --> 01:02:22.260 align:middle line:84%
have to worry about
I bought my iPhone

01:02:22.260 --> 01:02:23.635 align:middle line:84%
and got ripped
and got ripped off

01:02:23.635 --> 01:02:25.260 align:middle line:84%
and someone else
paid less than me.

01:02:25.260 --> 01:02:28.480 align:middle line:84%
Again, I adopt that most
favored customer policy.

01:02:28.480 --> 01:02:29.800 align:middle line:90%
I commit to it.

01:02:29.800 --> 01:02:32.490 align:middle line:84%
Then once I've sold my phone to
all the high value customers,

01:02:32.490 --> 01:02:34.620 align:middle line:84%
I don't want to cut the price,
because if I cut the price,

01:02:34.620 --> 01:02:36.010 align:middle line:84%
I'm cutting the
price for everyone.

01:02:36.010 --> 01:02:38.177 align:middle line:84%
That's back to the same
thing as the rental problem.

01:02:38.177 --> 01:02:43.000 align:middle line:90%


01:02:43.000 --> 01:02:45.430 align:middle line:84%
And firms can also
strategically,

01:02:45.430 --> 01:02:47.560 align:middle line:84%
I can just build a
factory that only produces

01:02:47.560 --> 01:02:48.740 align:middle line:90%
so many phones per month.

01:02:48.740 --> 01:02:51.157 align:middle line:84%
I build a factory that only
produces enough phones to sell

01:02:51.157 --> 01:02:52.550 align:middle line:90%
to everyone at one size.

01:02:52.550 --> 01:02:55.190 align:middle line:84%
I'm not tempted
to raise my price.

01:02:55.190 --> 01:02:57.160 align:middle line:84%
So I think the
general view in IO

01:02:57.160 --> 01:03:01.450 align:middle line:84%
is that there are enough
reasons why the consumer is not

01:03:01.450 --> 01:03:02.270 align:middle line:90%
being rational.

01:03:02.270 --> 01:03:04.960 align:middle line:84%
The inflows of high
willingness to pay customers

01:03:04.960 --> 01:03:08.390 align:middle line:84%
are such that the extreme
Coase thing shouldn't happen.

01:03:08.390 --> 01:03:11.170 align:middle line:84%
And if you were in a situation
where the extreme Coase

01:03:11.170 --> 01:03:14.677 align:middle line:84%
problem were there, firms would
come up with a way around it.

01:03:14.677 --> 01:03:16.510 align:middle line:84%
Obviously, there are
some antitrust concerns

01:03:16.510 --> 01:03:19.720 align:middle line:84%
with some of these,
but there are ways

01:03:19.720 --> 01:03:21.080 align:middle line:90%
to avoid the Coase conjecture.

01:03:21.080 --> 01:03:26.380 align:middle line:84%
I think we don't necessarily
think that this is so important.

01:03:26.380 --> 01:03:29.100 align:middle line:84%
And I should say that
this is something

01:03:29.100 --> 01:03:30.350 align:middle line:90%
you'll get later in the class.

01:03:30.350 --> 01:03:32.530 align:middle line:84%
We start doing-- a
lot of people in IO

01:03:32.530 --> 01:03:36.070 align:middle line:84%
are doing structural models
of dynamic situations

01:03:36.070 --> 01:03:38.320 align:middle line:84%
where you're always assuming
firms follow these Markov

01:03:38.320 --> 01:03:39.920 align:middle line:90%
perfect strategies.

01:03:39.920 --> 01:03:42.920 align:middle line:84%
This Markov maximization
is, in some sense, always

01:03:42.920 --> 01:03:45.375 align:middle line:84%
a firm with commitment
problems where

01:03:45.375 --> 01:03:47.750 align:middle line:84%
it's every period the firm is
choosing the optimal action

01:03:47.750 --> 01:03:49.520 align:middle line:90%
given that state.

01:03:49.520 --> 01:03:52.130 align:middle line:84%
Our skepticism of the Coase
conjecture, in some sense,

01:03:52.130 --> 01:03:54.470 align:middle line:84%
should translate to skepticism
of some of those models.

01:03:54.470 --> 01:03:56.858 align:middle line:84%
Or at least think
about do we really

01:03:56.858 --> 01:03:58.400 align:middle line:84%
think the firms lack
commitment power

01:03:58.400 --> 01:04:01.010 align:middle line:84%
and are always going to be
maximizing period by period

01:04:01.010 --> 01:04:02.185 align:middle line:90%
what's optimal for them?

01:04:02.185 --> 01:04:04.820 align:middle line:90%


01:04:04.820 --> 01:04:07.400 align:middle line:84%
So then the final topic I
want to talk about today,

01:04:07.400 --> 01:04:09.890 align:middle line:84%
and I'll see if I have
time to finish it,

01:04:09.890 --> 01:04:12.080 align:middle line:84%
this is a more
recent topic in IO.

01:04:12.080 --> 01:04:16.040 align:middle line:84%
And if you wanted to do IO
theory on monopoly pricing

01:04:16.040 --> 01:04:20.780 align:middle line:84%
as a thesis topic, this would be
the active area of IO monopoly

01:04:20.780 --> 01:04:22.790 align:middle line:90%
pricing you could work on today.

01:04:22.790 --> 01:04:25.550 align:middle line:84%
So I'll give an overview
of information design.

01:04:25.550 --> 01:04:27.800 align:middle line:84%
And obviously, I would say
if you really want to study

01:04:27.800 --> 01:04:32.108 align:middle line:84%
information design, Steven and
Ian in the [14.]281 class do

01:04:32.108 --> 01:04:34.400 align:middle line:84%
a lot of information design,
and you would want to know

01:04:34.400 --> 01:04:36.692 align:middle line:84%
information design at the
level at which they teach it.

01:04:36.692 --> 01:04:42.360 align:middle line:84%
But I think basics for this I'm
going to cover here as well.

01:04:42.360 --> 01:04:45.230 align:middle line:84%
So motivating
lecture for this is

01:04:45.230 --> 01:04:48.950 align:middle line:84%
that it is an interesting
observation that when you look

01:04:48.950 --> 01:04:51.943 align:middle line:84%
at goods, there are some
goods for which you seem

01:04:51.943 --> 01:04:53.360 align:middle line:84%
to get an awful
lot of information

01:04:53.360 --> 01:04:54.950 align:middle line:84%
about what you're buying
and some for which

01:04:54.950 --> 01:04:56.690 align:middle line:84%
you seem to get very little
information about what you're

01:04:56.690 --> 01:04:57.535 align:middle line:90%
buying.

01:04:57.535 --> 01:04:58.910 align:middle line:84%
So an example of
a good where you

01:04:58.910 --> 01:05:00.368 align:middle line:84%
seem to get a lot
of information is

01:05:00.368 --> 01:05:02.870 align:middle line:84%
you want to buy a
new laptop computer.

01:05:02.870 --> 01:05:04.620 align:middle line:84%
You can get on the
site and the firms that

01:05:04.620 --> 01:05:06.918 align:middle line:84%
are selling you
laptop computers,

01:05:06.918 --> 01:05:08.460 align:middle line:84%
they're going to
tell you exactly how

01:05:08.460 --> 01:05:09.940 align:middle line:90%
many pixels are in the screen.

01:05:09.940 --> 01:05:12.030 align:middle line:84%
They're going to tell
you what processor

01:05:12.030 --> 01:05:18.440 align:middle line:84%
is in it, what the processor
speed is, what the battery

01:05:18.440 --> 01:05:22.040 align:middle line:84%
life is, what the battery power
is, how much the laptop weighs,

01:05:22.040 --> 01:05:23.153 align:middle line:90%
what it's made out of.

01:05:23.153 --> 01:05:25.070 align:middle line:84%
You can get a tremendous
amount of information

01:05:25.070 --> 01:05:27.505 align:middle line:84%
about every laptop that
you're considering buying.

01:05:27.505 --> 01:05:28.880 align:middle line:84%
I don't know how
many of you have

01:05:28.880 --> 01:05:31.422 align:middle line:84%
moved here recently and tried
to buy a mattress in the United

01:05:31.422 --> 01:05:31.930 align:middle line:90%
States.

01:05:31.930 --> 01:05:34.250 align:middle line:84%
You try to buy a mattress
in the United States

01:05:34.250 --> 01:05:37.070 align:middle line:84%
and there are lots of
these mattress stores

01:05:37.070 --> 01:05:38.660 align:middle line:90%
and they sell really expensive.

01:05:38.660 --> 01:05:43.050 align:middle line:84%
It's often like this mattress
is $1,200 or this one is $300.

01:05:43.050 --> 01:05:46.610 align:middle line:84%
And it's just
impossible to figure out

01:05:46.610 --> 01:05:48.840 align:middle line:84%
what makes mattress A
different from mattress B.

01:05:48.840 --> 01:05:51.215 align:middle line:84%
And you even think, OK, I'll
go to four different stores,

01:05:51.215 --> 01:05:53.210 align:middle line:84%
all of whom sell
Sealy Posturepedic

01:05:53.210 --> 01:05:55.430 align:middle line:90%
mattresses and comparison shop.

01:05:55.430 --> 01:05:58.400 align:middle line:84%
And you'll see that this store
has the Sealy Posturepedic

01:05:58.400 --> 01:06:00.890 align:middle line:84%
Ruby and Diamond and
Emerald, and this store

01:06:00.890 --> 01:06:04.550 align:middle line:84%
has the Sealy Posturepedic
Gold and Platinum and Bronze,

01:06:04.550 --> 01:06:08.090 align:middle line:84%
and this one has this Sealy
Posturepedic Cloud and Mountain

01:06:08.090 --> 01:06:09.800 align:middle line:90%
and Valley or something.

01:06:09.800 --> 01:06:12.492 align:middle line:84%
Just every different
store, even if it's

01:06:12.492 --> 01:06:15.200 align:middle line:84%
the same brand of mattress, they
have all different names on them

01:06:15.200 --> 01:06:17.780 align:middle line:84%
and no one's giving
you any attribute.

01:06:17.780 --> 01:06:22.250 align:middle line:84%
The coils in this one
are 0.73 mils thick

01:06:22.250 --> 01:06:25.950 align:middle line:84%
and the memory foam has this
compression per unit thing.

01:06:25.950 --> 01:06:27.812 align:middle line:84%
And given that
you can't actually

01:06:27.812 --> 01:06:29.270 align:middle line:84%
sleep on them in
the store, it just

01:06:29.270 --> 01:06:31.550 align:middle line:84%
seems like there's
no information

01:06:31.550 --> 01:06:33.980 align:middle line:84%
whatsoever to compare these
matches and figure out

01:06:33.980 --> 01:06:37.250 align:middle line:84%
do I want to pay $100 for
this one instead of that one.

01:06:37.250 --> 01:06:38.960 align:middle line:84%
Wholesale used
cars are almost one

01:06:38.960 --> 01:06:42.540 align:middle line:84%
of the most interesting examples
of explicit lack of information.

01:06:42.540 --> 01:06:46.225 align:middle line:84%
So you turn your
car into a dealer.

01:06:46.225 --> 01:06:47.600 align:middle line:84%
Let's suppose that
you had a car.

01:06:47.600 --> 01:06:50.270 align:middle line:90%


01:06:50.270 --> 01:06:51.417 align:middle line:90%
I have my Honda Civic.

01:06:51.417 --> 01:06:52.750 align:middle line:90%
I decide I want to buy a Toyota.

01:06:52.750 --> 01:06:55.080 align:middle line:84%
I turn in my old Honda
Civic to the Toyota dealer

01:06:55.080 --> 01:06:56.500 align:middle line:90%
when I buy my Toyota.

01:06:56.500 --> 01:06:59.318 align:middle line:84%
And then my Toyota dealer
doesn't want to have a Honda.

01:06:59.318 --> 01:07:01.860 align:middle line:84%
So he takes and sells it at the
wholesale level to some Honda

01:07:01.860 --> 01:07:05.820 align:middle line:84%
dealer somewhere who wants to
have a used Honda on their lot.

01:07:05.820 --> 01:07:08.100 align:middle line:84%
You go to see these
wholesale used car auctions

01:07:08.100 --> 01:07:09.390 align:middle line:90%
and it's a remarkable thing.

01:07:09.390 --> 01:07:13.530 align:middle line:84%
They have these giant parking
lots in the middle of nowhere

01:07:13.530 --> 01:07:16.150 align:middle line:84%
with some big
building next to them.

01:07:16.150 --> 01:07:19.020 align:middle line:84%
All the used car dealers
show up with cars

01:07:19.020 --> 01:07:21.220 align:middle line:84%
to sell and have their
cars listed for sale.

01:07:21.220 --> 01:07:24.030 align:middle line:84%
And then a bunch of people
have the cars listed to buy.

01:07:24.030 --> 01:07:29.400 align:middle line:84%
And the rules for the wholesale
used car auction is they drive

01:07:29.400 --> 01:07:34.740 align:middle line:84%
the 2013 Honda Civic,
63,000 miles, up there.

01:07:34.740 --> 01:07:38.400 align:middle line:84%
All the buyers are allowed to
look at the car from the inside.

01:07:38.400 --> 01:07:43.420 align:middle line:84%
A guy who works at the auction
house starts the engine.

01:07:43.420 --> 01:07:46.350 align:middle line:90%
You can hear that the car runs.

01:07:46.350 --> 01:07:48.100 align:middle line:84%
You can look at it
from the outside.

01:07:48.100 --> 01:07:50.380 align:middle line:84%
You may not open the hood
and look under the hood.

01:07:50.380 --> 01:07:52.560 align:middle line:84%
You may not look under
it with the mirror

01:07:52.560 --> 01:07:55.480 align:middle line:84%
and see whether the
muffler is rusted out.

01:07:55.480 --> 01:07:59.670 align:middle line:84%
You may not have your mechanic
try out all the parts.

01:07:59.670 --> 01:08:01.330 align:middle line:90%
The car is wheeled up there.

01:08:01.330 --> 01:08:03.790 align:middle line:84%
Everything stays closed except
for the guy from the dealer.

01:08:03.790 --> 01:08:06.310 align:middle line:90%
He turns it on, runs the thing.

01:08:06.310 --> 01:08:08.430 align:middle line:84%
They then auction
off in 45 seconds

01:08:08.430 --> 01:08:09.900 align:middle line:90%
and move on to the next car.

01:08:09.900 --> 01:08:12.630 align:middle line:84%
So basically, they provide
no information whatsoever

01:08:12.630 --> 01:08:16.830 align:middle line:84%
on the car that's being sold
other than Honda Civic 2013,

01:08:16.830 --> 01:08:18.010 align:middle line:90%
6,300 miles.

01:08:18.010 --> 01:08:19.630 align:middle line:90%
Here's what the engine turns on.

01:08:19.630 --> 01:08:20.800 align:middle line:90%
Here's what it sounds like.

01:08:20.800 --> 01:08:22.633 align:middle line:84%
This is what it looks
like from the outside.

01:08:22.633 --> 01:08:24.720 align:middle line:90%
And then the next one is sold.

01:08:24.720 --> 01:08:27.250 align:middle line:84%
And it's clearly an
intentional design

01:08:27.250 --> 01:08:30.023 align:middle line:84%
to provide zero
information to the buyers.

01:08:30.023 --> 01:08:33.310 align:middle line:90%


01:08:33.310 --> 01:08:35.560 align:middle line:84%
These examples,
these are ones where

01:08:35.560 --> 01:08:38.290 align:middle line:84%
we think of as these are
clearly pure monopoly pricing

01:08:38.290 --> 01:08:43.000 align:middle line:84%
decisions that somehow the
mattress firm, the laptop firm,

01:08:43.000 --> 01:08:44.800 align:middle line:84%
the used car firms,
they've decided

01:08:44.800 --> 01:08:46.540 align:middle line:84%
that providing this
information to their consumers

01:08:46.540 --> 01:08:49.040 align:middle line:84%
is what maximizes their profits,
because they're controlling

01:08:49.040 --> 01:08:51.790 align:middle line:90%
the information flow.

01:08:51.790 --> 01:08:53.560 align:middle line:84%
There are other
examples, now, I guess,

01:08:53.560 --> 01:08:55.510 align:middle line:84%
which has [INAUDIBLE]
another side, which

01:08:55.510 --> 01:08:59.950 align:middle line:84%
is that there are now plenty of
intermediaries that make money

01:08:59.950 --> 01:09:01.810 align:middle line:84%
by providing information
about products

01:09:01.810 --> 01:09:04.180 align:middle line:84%
and helping consumers
find products they want.

01:09:04.180 --> 01:09:08.750 align:middle line:84%
So, for instance, Yelp helps
people find restaurants.

01:09:08.750 --> 01:09:11.620 align:middle line:84%
Amazon sells many things
that are not Amazon products,

01:09:11.620 --> 01:09:15.050 align:middle line:84%
helping you to find what's
the best phone for me to buy?

01:09:15.050 --> 01:09:19.600 align:middle line:84%
What's the best
tent for me to buy?

01:09:19.600 --> 01:09:21.100 align:middle line:84%
What's the best
shirt for me to buy?

01:09:21.100 --> 01:09:22.725 align:middle line:84%
What are the best
pair of hiking boots?

01:09:22.725 --> 01:09:23.319 align:middle line:90%
Whatever.

01:09:23.319 --> 01:09:25.720 align:middle line:84%
Amazon is selling these
products that they don't make

01:09:25.720 --> 01:09:29.069 align:middle line:84%
and just providing you
information about them.

01:09:29.069 --> 01:09:30.990 align:middle line:84%
One concern that
you can think about,

01:09:30.990 --> 01:09:32.359 align:middle line:90%
what does Amazon want you to do?

01:09:32.359 --> 01:09:36.270 align:middle line:84%
Amazon wants you to buy
products from Amazon.

01:09:36.270 --> 01:09:38.189 align:middle line:84%
Amazon therefore
wants to provide you

01:09:38.189 --> 01:09:40.620 align:middle line:84%
with consumer surplus when
you're buying these third party

01:09:40.620 --> 01:09:42.620 align:middle line:84%
products, that you buy
the third party products,

01:09:42.620 --> 01:09:43.840 align:middle line:90%
you get consumer surplus.

01:09:43.840 --> 01:09:45.720 align:middle line:84%
You keep coming back
to Amazon as a place

01:09:45.720 --> 01:09:48.933 align:middle line:90%
to start your shopping trips.

01:09:48.933 --> 01:09:50.350 align:middle line:84%
What information
problem they have

01:09:50.350 --> 01:09:51.939 align:middle line:84%
is that let's suppose
they provide you

01:09:51.939 --> 01:09:54.940 align:middle line:84%
with some number of
information about the good.

01:09:54.940 --> 01:09:56.440 align:middle line:84%
If they provide you
with information

01:09:56.440 --> 01:09:58.000 align:middle line:84%
that lets you figure
out, yes, this

01:09:58.000 --> 01:10:01.220 align:middle line:84%
is the perfect pair of
hiking boots for me.

01:10:01.220 --> 01:10:03.320 align:middle line:84%
Then the hiking
boot company knowing

01:10:03.320 --> 01:10:07.530 align:middle line:84%
that Amazon is selling it only
to the consumers for whom it's

01:10:07.530 --> 01:10:09.530 align:middle line:84%
the perfect product will
set a really high price

01:10:09.530 --> 01:10:11.750 align:middle line:84%
and the consumer
surplus will be low.

01:10:11.750 --> 01:10:13.580 align:middle line:84%
So in some sense,
Amazon has this problem

01:10:13.580 --> 01:10:15.410 align:middle line:84%
of if they provide
information that

01:10:15.410 --> 01:10:19.340 align:middle line:84%
lets you figure out exactly
how good the product is for you

01:10:19.340 --> 01:10:22.190 align:middle line:84%
and what is, in some
sense, trying to maximize

01:10:22.190 --> 01:10:25.250 align:middle line:84%
the profit maximizing
set of information,

01:10:25.250 --> 01:10:27.650 align:middle line:84%
then it may be the monopolist
then just raises the price

01:10:27.650 --> 01:10:29.870 align:middle line:84%
and extracts all
that surplus and then

01:10:29.870 --> 01:10:31.177 align:middle line:90%
the consumers get no surplus.

01:10:31.177 --> 01:10:33.260 align:middle line:84%
And then Amazon isn't the
place to start shopping,

01:10:33.260 --> 01:10:35.810 align:middle line:84%
because it's the place where,
yes, you found what you wanted,

01:10:35.810 --> 01:10:37.790 align:middle line:84%
but yes, you also paid
a super premium price,

01:10:37.790 --> 01:10:42.740 align:middle line:84%
and therefore you didn't
get any surplus anyway.

01:10:42.740 --> 01:10:44.330 align:middle line:90%
So these kinds of--

01:10:44.330 --> 01:10:47.630 align:middle line:84%
I think it's the platform
application and the developments

01:10:47.630 --> 01:10:50.630 align:middle line:84%
in theory of this growth of
what we call information design.

01:10:50.630 --> 01:10:54.020 align:middle line:84%
Thinking about how
would a firm that

01:10:54.020 --> 01:10:56.000 align:middle line:84%
controls information
about products

01:10:56.000 --> 01:10:58.400 align:middle line:84%
want to provide that
information either to maximize

01:10:58.400 --> 01:11:00.230 align:middle line:84%
its profit, selling
them directly,

01:11:00.230 --> 01:11:03.930 align:middle line:84%
or to maximize the consumer
surplus of the consumers who

01:11:03.930 --> 01:11:07.032 align:middle line:84%
it's not selling them-- who
are-- if it's an intermediary,

01:11:07.032 --> 01:11:09.240 align:middle line:84%
it wants to maximize the
consumer surplus rather than

01:11:09.240 --> 01:11:12.180 align:middle line:84%
the profit, or it might want
to do something in between.

01:11:12.180 --> 01:11:16.170 align:middle line:84%
So to think about an
example for illustration,

01:11:16.170 --> 01:11:18.280 align:middle line:84%
let's assume that we
have a new product.

01:11:18.280 --> 01:11:23.850 align:middle line:84%
Maybe this new product is Clover
has a new fried cauliflower

01:11:23.850 --> 01:11:26.700 align:middle line:84%
sandwich with some kind
of Chinese sauce on it

01:11:26.700 --> 01:11:32.360 align:middle line:84%
or Indo-Chinese fried
cauliflower sandwich, which

01:11:32.360 --> 01:11:34.010 align:middle line:90%
I think they do have.

01:11:34.010 --> 01:11:37.250 align:middle line:84%
So suppose that fully informed
consumers, if they really

01:11:37.250 --> 01:11:39.080 align:middle line:84%
understood what the
sandwich tasted like,

01:11:39.080 --> 01:11:41.720 align:middle line:84%
would have values v
distributed uniform 0, 1.

01:11:41.720 --> 01:11:45.680 align:middle line:84%
Or maybe in this
case, uniform 0, $18.

01:11:45.680 --> 01:11:49.470 align:middle line:84%
Suppose that the monopolist has
a constant marginal cost of 1/3.

01:11:49.470 --> 01:11:50.980 align:middle line:90%
So $6 in this example.

01:11:50.980 --> 01:11:54.250 align:middle line:90%


01:11:54.250 --> 01:11:56.710 align:middle line:84%
What are you going to do if
consumers are fully informed?

01:11:56.710 --> 01:11:58.630 align:middle line:90%
They have values uniform 0, 1.

01:11:58.630 --> 01:12:00.850 align:middle line:90%
You have a cost of 1/3.

01:12:00.850 --> 01:12:05.380 align:middle line:84%
You maximize p minus
1/3 times 1 minus p.

01:12:05.380 --> 01:12:07.600 align:middle line:90%
Monopoly price is 2/3.

01:12:07.600 --> 01:12:11.540 align:middle line:84%
So we get this situation
of your cost is 1/3.

01:12:11.540 --> 01:12:13.300 align:middle line:90%
You set a price of 2/3.

01:12:13.300 --> 01:12:15.460 align:middle line:90%
1/3 of the people buy.

01:12:15.460 --> 01:12:19.580 align:middle line:84%
So if I multiply by 18,
I have a cost of $6.

01:12:19.580 --> 01:12:21.760 align:middle line:90%
I set the price at $12.

01:12:21.760 --> 01:12:23.300 align:middle line:84%
1/3 of the people
buy my sandwich.

01:12:23.300 --> 01:12:24.440 align:middle line:90%
I make $6 each.

01:12:24.440 --> 01:12:25.455 align:middle line:90%
I make $2 in profit.

01:12:25.455 --> 01:12:28.710 align:middle line:90%


01:12:28.710 --> 01:12:31.110 align:middle line:84%
So that's clearly
one thing that Clover

01:12:31.110 --> 01:12:34.410 align:middle line:84%
could do is just tell everybody
everything about the sandwich,

01:12:34.410 --> 01:12:36.240 align:middle line:84%
somehow convey to them
what it tastes like.

01:12:36.240 --> 01:12:38.573 align:middle line:84%
I don't know quite how they
do that, but they convey it.

01:12:38.573 --> 01:12:39.750 align:middle line:90%
People get these values.

01:12:39.750 --> 01:12:41.610 align:middle line:84%
Maybe they give free
sandwiches to everyone,

01:12:41.610 --> 01:12:43.980 align:middle line:90%
so they all learn their values.

01:12:43.980 --> 01:12:46.588 align:middle line:84%
They learn their v's and
then they monopoly price

01:12:46.588 --> 01:12:47.630 align:middle line:90%
relative to those values.

01:12:47.630 --> 01:12:52.730 align:middle line:90%


01:12:52.730 --> 01:12:55.250 align:middle line:90%
What else could you do?

01:12:55.250 --> 01:13:00.923 align:middle line:84%
Imagine that consumers
learn their values.

01:13:00.923 --> 01:13:04.340 align:middle line:90%


01:13:04.340 --> 01:13:06.350 align:middle line:84%
Consumers have to learn
their values somewhere.

01:13:06.350 --> 01:13:07.950 align:middle line:84%
I know there's a
new Clover sandwich.

01:13:07.950 --> 01:13:10.010 align:middle line:84%
How would I know whether
I like it or not?

01:13:10.010 --> 01:13:12.830 align:middle line:84%
I know that I'm rational,
so I know that v

01:13:12.830 --> 01:13:15.823 align:middle line:90%
is distributed uniform 0, 18.

01:13:15.823 --> 01:13:17.990 align:middle line:84%
But I don't know whether
I'm one of the people who's

01:13:17.990 --> 01:13:21.440 align:middle line:84%
going to this sandwich or one
who's not going to the sandwich.

01:13:21.440 --> 01:13:23.480 align:middle line:84%
Imagine one thing
Clover could do

01:13:23.480 --> 01:13:27.392 align:middle line:84%
is provide no information
whatsoever about the sandwich.

01:13:27.392 --> 01:13:29.100 align:middle line:84%
Don't even tell you
it's got cauliflower.

01:13:29.100 --> 01:13:30.683 align:middle line:84%
Don't even tell you
what the spice is.

01:13:30.683 --> 01:13:33.320 align:middle line:84%
Say, this is the
new Clover sandwich.

01:13:33.320 --> 01:13:34.790 align:middle line:84%
If you're a rational,
you're going

01:13:34.790 --> 01:13:37.645 align:middle line:84%
to know that, OK, there's
a new sandwich out there.

01:13:37.645 --> 01:13:40.970 align:middle line:90%


01:13:40.970 --> 01:13:42.950 align:middle line:84%
My value must be
somewhere between 0 and 18

01:13:42.950 --> 01:13:44.450 align:middle line:90%
for that sandwich.

01:13:44.450 --> 01:13:49.540 align:middle line:90%
I don't know what that value is.

01:13:49.540 --> 01:13:51.610 align:middle line:90%
Or uniform 0, 1.

01:13:51.610 --> 01:13:55.380 align:middle line:84%
So here I would think on average
that sandwich is worth $9 to me

01:13:55.380 --> 01:13:55.880 align:middle line:90%
not knowing.

01:13:55.880 --> 01:13:57.172 align:middle line:90%
It's just in a brown paper bag.

01:13:57.172 --> 01:13:58.030 align:middle line:90%
They've kept.

01:13:58.030 --> 01:14:01.450 align:middle line:90%
It's a secret sandwich.

01:14:01.450 --> 01:14:05.140 align:middle line:84%
My value is 1/2 or
9 in that example.

01:14:05.140 --> 01:14:07.330 align:middle line:84%
So what the monopolist
can do is sell

01:14:07.330 --> 01:14:09.130 align:middle line:84%
these sandwiches in
the brown paper bags

01:14:09.130 --> 01:14:11.970 align:middle line:90%
to everyone at a price of 9.

01:14:11.970 --> 01:14:14.880 align:middle line:84%
And so instead of
selling it to the--

01:14:14.880 --> 01:14:17.400 align:middle line:84%
I had the previous example, I'd
sell it to 1/3 of the people

01:14:17.400 --> 01:14:23.550 align:middle line:84%
at a price of 12 and earn 1/3
times 12 minus 6 is $2 profit.

01:14:23.550 --> 01:14:28.320 align:middle line:84%
Now everyone is willing to buy
the sandwich in the paper bag.

01:14:28.320 --> 01:14:30.235 align:middle line:84%
They're only willing
to pay $9 for it

01:14:30.235 --> 01:14:31.860 align:middle line:84%
because they don't
know whether they're

01:14:31.860 --> 01:14:33.735 align:middle line:84%
someone who likes the
sandwich or someone who

01:14:33.735 --> 01:14:34.780 align:middle line:90%
hates the sandwich.

01:14:34.780 --> 01:14:39.190 align:middle line:84%
But I get 1/3 times
9 minus 6 is 3.

01:14:39.190 --> 01:14:42.705 align:middle line:84%
So I've made more money by
hiding what my product is.

01:14:42.705 --> 01:14:45.728 align:middle line:90%


01:14:45.728 --> 01:14:48.780 align:middle line:84%
And how I made more money by
hiding what my product is,

01:14:48.780 --> 01:14:52.380 align:middle line:84%
well, social surplus
has gone down.

01:14:52.380 --> 01:14:56.240 align:middle line:84%
There are all these people with
low values for the sandwich,

01:14:56.240 --> 01:14:58.200 align:middle line:90%
values below 6.

01:14:58.200 --> 01:14:59.910 align:middle line:84%
That sandwich should
not be sold to them.

01:14:59.910 --> 01:15:01.790 align:middle line:84%
There's this
inefficient production

01:15:01.790 --> 01:15:04.760 align:middle line:84%
that there are
people who don't even

01:15:04.760 --> 01:15:07.820 align:middle line:84%
like the sandwich it's
being produced and sold to.

01:15:07.820 --> 01:15:11.600 align:middle line:84%
But I've eliminated the
monopoly deadweight loss

01:15:11.600 --> 01:15:14.330 align:middle line:84%
that came from these people
with values between 6 and 12

01:15:14.330 --> 01:15:17.160 align:middle line:84%
not getting the sandwich
because monopoly pricing at 12.

01:15:17.160 --> 01:15:21.650 align:middle line:84%
And so because I'm extracting
all the consumer surplus,

01:15:21.650 --> 01:15:23.930 align:middle line:84%
I've driven consumer
surplus to 0,

01:15:23.930 --> 01:15:26.640 align:middle line:84%
total social surplus
has gone down.

01:15:26.640 --> 01:15:30.080 align:middle line:84%
But because consumer surplus
went down even faster

01:15:30.080 --> 01:15:35.750 align:middle line:84%
than social surplus went
up, suppressing information

01:15:35.750 --> 01:15:39.530 align:middle line:84%
is transferred surplus and
the monopolist is better off.

01:15:39.530 --> 01:15:41.210 align:middle line:84%
So this is just
an extreme example

01:15:41.210 --> 01:15:45.330 align:middle line:84%
where I hide information about
my product, my profits go up,

01:15:45.330 --> 01:15:48.580 align:middle line:84%
and it goes up because I've
made consumers homogeneous.

01:15:48.580 --> 01:15:51.940 align:middle line:84%
By making them homogeneous, I
can extract all their surplus.

01:15:51.940 --> 01:15:55.953 align:middle line:84%
And that's socially
wasteful, but it's

01:15:55.953 --> 01:15:57.870 align:middle line:84%
a transfer from the
consumer to the monopolist

01:15:57.870 --> 01:15:59.495 align:middle line:84%
and it makes the
monopolist better off.

01:15:59.495 --> 01:16:03.816 align:middle line:90%


01:16:03.816 --> 01:16:08.030 align:middle line:84%
So anyway, that's one
thing Clover could do here.

01:16:08.030 --> 01:16:11.750 align:middle line:84%
Second observation is that you
can also have examples like this

01:16:11.750 --> 01:16:17.890 align:middle line:84%
where providing less
than full information

01:16:17.890 --> 01:16:20.260 align:middle line:84%
actually makes the
consumer surplus go up.

01:16:20.260 --> 01:16:21.360 align:middle line:90%
So here's an example.

01:16:21.360 --> 01:16:25.600 align:middle line:84%
Again, think about
Amazon or Yelp trying

01:16:25.600 --> 01:16:29.190 align:middle line:84%
to sell through Clover,
provide information

01:16:29.190 --> 01:16:31.650 align:middle line:84%
about Clover
sandwiches to people,

01:16:31.650 --> 01:16:39.830 align:middle line:84%
and give the consumers more
surplus by using the platform.

01:16:39.830 --> 01:16:43.040 align:middle line:84%
So suppose what
happens here is that--

01:16:43.040 --> 01:16:47.510 align:middle line:84%
so think of Yelp as the firm
designing the information

01:16:47.510 --> 01:16:48.560 align:middle line:90%
structure.

01:16:48.560 --> 01:16:52.070 align:middle line:84%
And suppose that Yelp, because
they've read all your reviews

01:16:52.070 --> 01:16:54.770 align:middle line:84%
that you've ever written
of restaurants in the past,

01:16:54.770 --> 01:16:59.540 align:middle line:84%
they know how much you're going
to like the Clover sandwich.

01:16:59.540 --> 01:17:01.400 align:middle line:84%
They've got enough
things of people

01:17:01.400 --> 01:17:04.110 align:middle line:84%
who both ate this sandwich
and had the same taste as you

01:17:04.110 --> 01:17:09.110 align:middle line:84%
at all previous restaurants,
that Yelp knows whether or not

01:17:09.110 --> 01:17:11.570 align:middle line:84%
you're going to
like the sandwich.

01:17:11.570 --> 01:17:13.463 align:middle line:84%
Because in some
sense, they implicitly

01:17:13.463 --> 01:17:15.505 align:middle line:84%
know what it tastes like
relative to your tastes.

01:17:15.505 --> 01:17:18.300 align:middle line:90%


01:17:18.300 --> 01:17:19.800 align:middle line:84%
And so suppose what
Yelp does is it

01:17:19.800 --> 01:17:23.310 align:middle line:84%
commits to this partial
information policy.

01:17:23.310 --> 01:17:28.185 align:middle line:84%
If your value is between 0 and
1/3 or 0 and $6, it tells you,

01:17:28.185 --> 01:17:31.050 align:middle line:84%
you are someone who is going
to have a low value for that

01:17:31.050 --> 01:17:32.870 align:middle line:90%
sandwich.

01:17:32.870 --> 01:17:36.450 align:middle line:84%
If your value is
between 1/3 and 7/9,

01:17:36.450 --> 01:17:40.670 align:middle line:84%
so that's between $6 and
$14, it's going to you,

01:17:40.670 --> 01:17:43.410 align:middle line:84%
you have a medium value
for that sandwich.

01:17:43.410 --> 01:17:46.410 align:middle line:84%
And if your value is between $14
and $18, it's going to tell you,

01:17:46.410 --> 01:17:48.370 align:middle line:84%
you have a high value
for that sandwich.

01:17:48.370 --> 01:17:50.850 align:middle line:84%
So it's like it's
taken the sandwich,

01:17:50.850 --> 01:17:53.980 align:middle line:84%
it's wrapped it in a paper bag
and not told you what it is,

01:17:53.980 --> 01:17:56.790 align:middle line:84%
but it says, based on
what we know about you,

01:17:56.790 --> 01:17:58.795 align:middle line:84%
your value for this
sandwich is low.

01:17:58.795 --> 01:18:00.420 align:middle line:84%
Your value for that
sandwich is medium.

01:18:00.420 --> 01:18:02.760 align:middle line:84%
Your value of that
sandwich is high.

01:18:02.760 --> 01:18:04.380 align:middle line:84%
And then it sends
you into Clover

01:18:04.380 --> 01:18:08.490 align:middle line:84%
with that knowledge of you only
can buy from Clover through Yelp

01:18:08.490 --> 01:18:09.780 align:middle line:90%
in this example.

01:18:09.780 --> 01:18:12.450 align:middle line:84%
I mean, it's more
plausible with Amazon.

01:18:12.450 --> 01:18:15.750 align:middle line:84%
And so all you're provided with
is the information of my value

01:18:15.750 --> 01:18:18.690 align:middle line:84%
is low, my value is medium,
or my value is high.

01:18:18.690 --> 01:18:23.640 align:middle line:84%
So what does Clover do
when it's in this world?

01:18:23.640 --> 01:18:27.210 align:middle line:84%
Well, the people who are told
the value is low think that

01:18:27.210 --> 01:18:33.410 align:middle line:90%
the value is 1/6 or 3.

01:18:33.410 --> 01:18:36.350 align:middle line:84%
Those who think that their value
is medium think their value is

01:18:36.350 --> 01:18:40.740 align:middle line:84%
5/9, halfway
between 3/9 and 7/9.

01:18:40.740 --> 01:18:43.910 align:middle line:84%
And those who are told the value
is high in expectation think

01:18:43.910 --> 01:18:47.000 align:middle line:84%
their utility is
going to be 8/9.

01:18:47.000 --> 01:18:49.770 align:middle line:84%
So Clover is facing
a strange population

01:18:49.770 --> 01:18:54.880 align:middle line:84%
where we now have, instead
of having consumers

01:18:54.880 --> 01:18:59.770 align:middle line:84%
with values uniform on 0 to 18,
we now just have 3 point masses.

01:18:59.770 --> 01:19:04.270 align:middle line:84%
We have a point mass of 1/3 on
people who think it's worth $3

01:19:04.270 --> 01:19:05.800 align:middle line:90%
to them.

01:19:05.800 --> 01:19:10.480 align:middle line:84%
We have a point mass
that's this big.

01:19:10.480 --> 01:19:13.930 align:middle line:84%
4/9 of the people who think
the thing is worth 10.

01:19:13.930 --> 01:19:17.950 align:middle line:84%
And then we have a smaller point
mass 2/9 who think the thing is

01:19:17.950 --> 01:19:18.873 align:middle line:90%
worth 16.

01:19:18.873 --> 01:19:22.330 align:middle line:90%


01:19:22.330 --> 01:19:24.930 align:middle line:84%
So what does Clover do if
it's faced with this demand?

01:19:24.930 --> 01:19:26.680 align:middle line:84%
There are some people
who think it's worth

01:19:26.680 --> 01:19:31.450 align:middle line:84%
3, some who think it's worth 10,
some who think it's worth 16.

01:19:31.450 --> 01:19:34.630 align:middle line:84%
Well, obviously, you're going
to price the good either

01:19:34.630 --> 01:19:38.530 align:middle line:90%
at 10 or 16 in this example.

01:19:38.530 --> 01:19:41.410 align:middle line:84%
Because everyone has a value
of-- if I price a value

01:19:41.410 --> 01:19:42.910 align:middle line:84%
more than 10, only
these people buy,

01:19:42.910 --> 01:19:44.740 align:middle line:90%
so I might as well charge 16.

01:19:44.740 --> 01:19:46.850 align:middle line:90%
So I basically have two choices.

01:19:46.850 --> 01:19:52.060 align:middle line:84%
I can price it at 10 and earn
10 to the minus 6 and sell it

01:19:52.060 --> 01:19:54.800 align:middle line:90%
to 2/3 of the people.

01:19:54.800 --> 01:20:01.670 align:middle line:84%
Or I can price it at 16 and
get 16 minus 6 and then sell it

01:20:01.670 --> 01:20:02.815 align:middle line:90%
to 2/9 of the people.

01:20:02.815 --> 01:20:06.990 align:middle line:90%


01:20:06.990 --> 01:20:11.040 align:middle line:84%
And I think the way I did
these numbers, selling

01:20:11.040 --> 01:20:15.180 align:middle line:84%
to both groups at 10 is
better for them than selling

01:20:15.180 --> 01:20:17.920 align:middle line:90%
to only the high types at 16.

01:20:17.920 --> 01:20:24.070 align:middle line:84%
So what happens is I get them
to sell the sandwich to both

01:20:24.070 --> 01:20:27.500 align:middle line:90%
the medium and the high types.

01:20:27.500 --> 01:20:29.810 align:middle line:84%
And if you look
at what I've done,

01:20:29.810 --> 01:20:32.450 align:middle line:84%
I've worked out the
calculations here.

01:20:32.450 --> 01:20:35.120 align:middle line:84%
I've gotten them to
sell the sandwich.

01:20:35.120 --> 01:20:38.780 align:middle line:84%
Instead of having the
monopoly price of 12,

01:20:38.780 --> 01:20:40.970 align:middle line:84%
the monopoly price was
sell it at 12 and everyone

01:20:40.970 --> 01:20:44.810 align:middle line:90%
with a value above 12 buys.

01:20:44.810 --> 01:20:46.790 align:middle line:84%
Here I've gotten
them to sell the good

01:20:46.790 --> 01:20:51.270 align:middle line:90%
at a price of 10 instead of 12.

01:20:51.270 --> 01:20:53.340 align:middle line:90%
And so by getting them to--

01:20:53.340 --> 01:20:55.950 align:middle line:84%
by some sense, creating
this extra mass of consumers

01:20:55.950 --> 01:20:58.155 align:middle line:84%
who think it's worth
10, I've shifted down

01:20:58.155 --> 01:21:00.030 align:middle line:84%
where the monopoly price
is and gotten clover

01:21:00.030 --> 01:21:02.520 align:middle line:84%
to sell the good at
10 instead of 12.

01:21:02.520 --> 01:21:06.960 align:middle line:84%
And it turns out, if you
work out the algebra here,

01:21:06.960 --> 01:21:13.620 align:middle line:84%
the profit of the monopolist
is, I believe, lower.

01:21:13.620 --> 01:21:14.340 align:middle line:90%
Nope.

01:21:14.340 --> 01:21:16.030 align:middle line:90%
So actually, sorry, it's here.

01:21:16.030 --> 01:21:18.750 align:middle line:84%
So consumer surplus
is higher than it

01:21:18.750 --> 01:21:19.900 align:middle line:90%
is under monopoly pricing.

01:21:19.900 --> 01:21:22.358 align:middle line:84%
And actually, in this example,
the profit of the monopolist

01:21:22.358 --> 01:21:23.460 align:middle line:90%
is also higher.

01:21:23.460 --> 01:21:26.530 align:middle line:84%
So this was the no
information treatment.

01:21:26.530 --> 01:21:29.170 align:middle line:84%
This was the full
information treatment.

01:21:29.170 --> 01:21:34.230 align:middle line:84%
This one I've actually bumped
up consumer surplus and profits

01:21:34.230 --> 01:21:37.470 align:middle line:84%
relative to the
monopolist is done.

01:21:37.470 --> 01:21:41.040 align:middle line:84%
Anyway, so I am out of time now,
so why don't I leave it there?

01:21:41.040 --> 01:21:46.940 align:middle line:84%
I will do my final slides on
information design next time.

01:21:46.940 --> 01:21:52.080 align:middle line:84%
And I should say jumping
ahead, as I said,

01:21:52.080 --> 01:21:54.780 align:middle line:84%
I'm going to do theory on
Wednesdays and empirical work

01:21:54.780 --> 01:21:57.055 align:middle line:84%
on Mondays for the
immediate future.

01:21:57.055 --> 01:21:58.680 align:middle line:84%
So in Monday's class,
I'm going to talk

01:21:58.680 --> 01:22:01.200 align:middle line:84%
about two empirical papers
on monopoly pricing,

01:22:01.200 --> 01:22:04.530 align:middle line:84%
Chevalier-Goolsbee
and Gentzkow-Shapiro.

01:22:04.530 --> 01:22:07.080 align:middle line:90%
So be useful for you to--

01:22:07.080 --> 01:22:08.850 align:middle line:84%
I will discuss
what's in the papers,

01:22:08.850 --> 01:22:11.635 align:middle line:84%
but probably useful for you
to try to look at the papers

01:22:11.635 --> 01:22:13.260 align:middle line:84%
beforehand, try to
read what's in them,

01:22:13.260 --> 01:22:15.420 align:middle line:84%
get some sense for
reading IO papers.

01:22:15.420 --> 01:22:18.090 align:middle line:84%
I will say that Gentzkow-Shapiro
is a bit difficult paper

01:22:18.090 --> 01:22:20.700 align:middle line:84%
to read if you haven't
done a lot of econometrics.

01:22:20.700 --> 01:22:23.280 align:middle line:84%
We are covering the
demand estimation

01:22:23.280 --> 01:22:24.867 align:middle line:90%
in week four of this course.

01:22:24.867 --> 01:22:26.700 align:middle line:84%
And in the first three
weeks of this course,

01:22:26.700 --> 01:22:28.825 align:middle line:84%
you may be reading papers
on demand estimation that

01:22:28.825 --> 01:22:29.710 align:middle line:90%
are harder to read.

01:22:29.710 --> 01:22:31.320 align:middle line:84%
I would just in the
first three weeks

01:22:31.320 --> 01:22:34.230 align:middle line:84%
skim through them if you haven't
done GMM estimation and things

01:22:34.230 --> 01:22:37.250 align:middle line:84%
and have trouble
reading those papers.

01:22:37.250 --> 01:22:37.870 align:middle line:90%
OK.

01:22:37.870 --> 01:22:38.530 align:middle line:90%
Thanks.

01:22:38.530 --> 01:22:41.540 align:middle line:84%
Hope you enjoy the course,
and I will see you on Monday.

01:22:41.540 --> 01:22:48.000 align:middle line:90%