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Lectures_1-2_monopoly

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Natural monopoly

IAntitrust regulation – breakup of monopolies

IWhat if optimal …rm size (minimum e¢ ciency scale) is large compared to market size (where the market size is given by

D(minAC ))

I Especially if operating under increasing returns

I At most one …rm …ts in the market

p

Demand

MC

AC

q

I Monopoly is to remain intact

I But should be regulated!

21

Unregulated natural monopoly

IMonopoly maximizes pro…ts - sets q such that

MR(q) = MC (q)

IGets a positive pro…t if p(q) > AC (q)

IDeadweight loss (price>MC!)

22

Marginal cost pricing

I Optimal regulated price=MC

I No deadweight loss

I But monopoly incurs a loss (p < AC!)

IThis is not sustainable in long-run – monopoly will go out of business

23

Solution

IGive the (natural) monopoly a lump-sum subsidy (+ price cap)

IOR

IAverage cost pricing

ITo assure fair income distribution, do not allow monopoly appropriate too much of consumer surplus

IRegulate at average price

ISo that consumers pay (long-run) AC

24

Monopoly (cont.)

I Is monopoly bad?

IDWL compared to competitive solution

IPrice distortions

ICost distortions (weaker incentives to innovate?)

IRent-seeking to maintain monopoly power

I Are there any bene…ts to a monopoly?

Ioperated the natural monopoly market (which otherwise would not be served)

Iincentives for innovation if monopoly status can be maintained (promise of pro…ts)

25

Monopolistic price discrimination

I Ine¢ ciency of monopoly:

IWants to charge price>MC

IBut if charges higher prices to some customers, loses some other (whose willingness to pay is only slightly above MC)

IWhat if can charge di¤erent prices to di¤erent customers?

IOr, better yet, charge di¤erent prices to di¤erent customers for di¤erent units of output

26

Degrees of monopolistic price discrimination

I First – perfect

I

Can charge di¤erent prices for di¤erent consumers for di¤erent

 

units

I

Examples: not many, but probably doctors and lawyers in

 

private practice

I Second – nonlinear pricing, “menu of contracts”

I

Cannot distinguish consumers, but can charge di¤erent prices

 

depending on the amount/quality consumed

I

Consumers self-select the packages intended for them

I

Examples: coca-cola bottles vs. packs, business vs. economy

 

class air tickets

I Third – spatial, “grouping”

I

Can only charge uniform prices but can distinguish consumers

I

Example: tickets for kids/seniors vs. adults, free night club

 

entry for girls

I Which one? Depends on information and on costs of resale

27

Perfect price discrimination

ICan charge di¤erent prices to di¤erent people for di¤erent units

IKnows exactly the tastes of each consumer (!)

ICharge marginal willingness to pay for each unit

IProduce as long as P>MC

I Hence no deadweight loss

IFirst price discrimination is socially e¢ cient!

IBUT Monopoly appropriates all surplus

p

Monopoly profit

MC

D

28

3rd degree price discrimination

IMonopolist serving m markets

IEach market gets own price, no re-sale btw markets

qi

m

i

 

i (

i )

 

m

 

i )

å

P

C

(å

q

max

 

q

q

 

 

 

 

i =1

 

 

 

 

 

i =1

 

 

I FOCs

m

Pi (qi ) + qi Pi0(qi ) = C 0(å qi )

i =1

I or equivalently

Pi Ci0(Q) = 1

Pi #i

IHigher prices in less elastic markets

INotice that costs of production do not need to be separable!

I But often it is assumed that MC are constant and the same in each market

m

m

m

C ( å qi ) = c å qi = å cqi

i =1

i =1

i =1

29

3rd degree price discrimination

p1

“Rich”

p2

“Poor”

p

Total

MC

x1

x2

 

x1+ x2

 

 

 

30

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