Lectures_1-2_monopoly
.pdfNatural 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