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Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)
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Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Dec 25, 2015

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Page 1: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Market Power

Without Strategic Behavior(Monopoly or Monopolistic Competition)

Page 2: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopoly• Firm with monopoly or market power has

the ability to set its price and produce at any point on the market demand curve

• Whether the ONLY seller in the market depends on the definition of the market– Tylenol?– Pace Salsa?– Dallas Morning News?– Raleigh/Durham Intl. Airport?

Page 3: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Barriers to Entry• Barriers to entry are the source of all monopoly

power– there are two general types of barriers to entry

• Exclusive ownership of resources through– Legal barriers (e.g. patents and copyrights, gov. franchise)– Unique supply (Brad Pitt Eiffel Tower)– Sole ownership (DeBeers)

• Economies of scale (Natural Monopoly)

– Rent seeking behavior (lobbying lawmakers) can be used to secure barriers (e.g. tariffs or import restrictions)

Page 4: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Price Setters

• Single Price Monopolist– Assume they cannot price discriminate, or behave

strategically.– Monopoly or Monopolistic Competition

• Price Discrimination– first, second and third degree

Page 5: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Revenue: Price Setter

• Price Setter, the higher q, the lower the P.

• Firm chooses the price along with quantity.• R depends on P and Q, but P = P(Q)• R = P(Q)·Q

P

Q

Market Demand = Firm’s DemandP = P(Q)

Page 6: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Revenue: Price Setter

• TR and MR if demand is linear.

TR, MR

Q

Slope = 0MR = 0

TR = P(Q)·Q

Page 7: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Revenue: Price Setter• R = P(Q)·Q

P

Q

Market Demand = Firm’s DemandP = P(Q) P = AR

MR

d P(Q) Q P(Q) QMR AR P(Q)

dQ QdP

MR Q P(Q) AR PdQdP

MR Q P dQ

Page 8: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Revenue: Price Setter• MR, think of dq = 1.

P

Q

D: P = P(Q); P=AR

MR

dPMR Q P

dQ

dPdQ

Q dQ

P

Page 9: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Revenue: Price Setter• MR, think of dQ = 1.

• MR clearly depends on e.

P

Q

D: P = P(Q); P=AR

MRQ dQ

P

elastic

inelasticdPdQ

dPMR Q P

dQ

Page 10: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Elasticity and MR• Start with definitions of MR and e

\

dP dQ PMR Q P, e

dQ dP QdP Q P

Multiply in the equivalent of 1, MR PdQ 1 P

1 dP QFrom e,

e dQ PSubstitute and simplify (pull the neg. sign out of the e),

1 PMR P

e 1P

MR Pe

1Voila, MR P 1 or MR P 1

e

1e

Page 11: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• if |e| = 1.0, MR = 0 • if |e| < 1.0, MR < 0• if |e| > 1.0, MR > 0• if |e| > ∞, MR = P

1MR P 1

e

Elasticity and MR

Page 12: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Firm Supply Decision

• Firm chooses the Q that will maximize profit. • They do not respond to a market price.• Produce a Qs where MR = MC• MR comes from demand function• Although shut down is still possible, 95% of

treatments of market power ignore the short run and just look at the long run.

Page 13: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Maxp

Q

D=AR

MC

MRQ*

P*

ACSMCATC

• On the expansion path, SMC=MC and ATC=AC. • Use the SR curves to discuss the differential effects of changes in FC or VC in the short run.• But there is no LR entry or exit of firms (except the potential exit of the monopolist).• In the LR, the firm will choose a level of K to be on the expansion path, so long as P > AC.

PBE

Page 14: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Zoom In

MC

AC

SMC

ATC

• At Q* where MR=MC, SMC = MC and ATC=AC.

• And while • However,

PBE

MRQ*

D

Page 15: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Price Setter in the Long Run

• Simple, just MR = MC• Maximize profit w.r.t. Q• Maximize profit w.r.t. K, L

Page 16: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Maximizing Alternative 1

• Simple, set MC = MR, find q.

* *

*

C C v,w,Q as from cost chapter C w L v,w,Q v K v,w,Q

dC MC v,w,QdQ

Revenue: from demand, multiply inverse demand times q P P(Q), R P(Q) Q

dR MR Q dQ

Set MR=MC and solve for Q Q w,v

Check to ensure

that > 0, if not, then exit

Page 17: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Max , Choose q• Assuming you know C*=C(v, w, Q)

q

Q

Q

*

max P(Q) Q C v,w,Q , where C(v,w,Q) comes from cost minimization.

FOCMR(Q) MC(Q) 0

MR(Q) MC(Q), choose q such that the MR = MC

Solve for Q to get the firm supply function, Q Q v,w

SOC, check that

2

QQ 2

profit is decreasing where FOC are satisfied:

d MR(Q) d MC(Q)d d(MR) d(MC)0, or

dQ dQ dQ dQ dQFinally, check to ensure that > 0, if not, then exit

Page 18: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Max 3, MRPK=v, MRPL=w• Optimize by choosing K and L.

L ,K

L

L L L

K

K K K

max P f K,L f K,L vK wL

FOC

P fff K,L P f K,L w 0

f L L

Pf Q P f K,L w That is: MP MR w

f

P fff K,L P f K,L r 0

f K K

Pf Q P f K,L v That is: MP MR v

f

S

* *

* *

*

olve for L and K to get the profit maximizing factor demand functions

L L v,w , K K v,w

Plug into Q f K,L to get profit maximizing supply function Q Q v,w

and check that 0, exit otherwise.

e.g., letDemand: P a bQ

Production: Q K L

a b K L K L vK wL

Maximizing π means hiring each input until MRP = its price.

Page 19: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Max, choose K and L• SOC

* *

LL LK

KL KK

2LL KK LK

LL KK

2 2LL KK LK LK

The function is strictly concave at L , K

H 0, negative definite

H 0

Negative definite if: 0, 0,

and , which holds so long as is small.

Page 20: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Max, choose K and L

• Profit function, maximal profits for a given w, v.

* *Plug K =K(v,w) and L L(v,w) into

P f K,L f K,L vK wL

to get the profit optimizing profit function:

P f K(v,w),L(v,w) f K(v,w),L(v,w) vK(v,w) wL(v,w)

Note, there is no P in this equation as determining prof

it maximizing K and L determines Q*, which sets P* according to demand.

Page 21: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopoly Result• Compared to perfect competition, higher price, lower quantity,

economic profit, higher producer surplus, lower consumer surplus. In the long run, producer surplus = profit.

Q*

P

Q

MR

MC

AC

D

P*

πDWL

CS

Page 22: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Competitive Comparison• In long run, no profit or producer surplus (constant cost case

anyway).• Because of the deadweight loss from monopoly, it is considered a

market failure.P

Q

MR

Competitive Market supply = Market MC

AC

D

CS

QCQM

PM

PC

Page 23: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

The Inverse Elasticity Rule

1MRis defined as MR P 1

e

When maximizing profit, MC MR, so the folowing must hold:

1 1MC P 1 or MC =P 1

e e

Since monopolists only produce where e -1 MC will always the price.For exa

mple

1e = -2, MC = P

23

e = -4, MC = P4

e = - , MC = P

Page 24: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

The Inverse Elasticity Rule

1MC P 1

eMC 1

Solve for P to get: P MC1 1

1 1e e

And we get the price as a multiple of MC (again, with e -1) e -1, P MC, b / c MC MR 0

e -2, P 2 MC e -5, P 1.25 MC e - , P MC

Page 25: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Markup Pricing

MCP

11

ee

Rearrange again to get P MCe 1

P e 1 MC e

P e P MC eP e MC e P

e P MC P

PP MC

eP MC 1

p e

MCP

11

e

Page 26: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

The Inverse Elasticity Rule• The gap between a firm’s price and its marginal cost is

inversely related to the price elasticity of demand facing the firm

1P MCP e

P

QMR

MC

D, P = P(Q)P

p-MC

For -1 < e < 0,the markup exceeds the price. Huh?

Page 27: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

The Inverse Elasticity Rule

• If e = -1, P-MC = P, the markup is p (since MC must = 0)• If e = -1.25, the markup is 80% of price• If e = -2, the markup with be 50% of price• If e = -5, the markup will be 20% of price• If e = -20, the markup will be 5% of price

P MC 1P e

Page 28: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Change in Price for a Change in MC

MCP

11

eP 1

, when e -1 1MC 1e

For exampleP

e=-2, 2, so price rises by twice the change in MC.MCP

e=-5, 1.25, so price rises by 1.25 x the change in MC.MC

Pe 10, 1.11, so price ris

MC

es by 1.11 x the change in MC.

MCP

11

e

Page 29: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Natural Monopoly• In a competitive market, so many firms can

produce at the Minimum Efficient Scale (MES) – low point of AC curve – that no firm can change the market price by altering its behavior.

• But if the MES is large enough that it only takes a few firms to supply the market, they will start to have market power.

• If MES is so large that one firm can produce at a lower average cost than two firms can splitting the market in half, then we get a natural monopoly.

Page 30: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Large MES• Two firms each producing Q = X and charging P = AC. If one firm

gets a little larger, it can gain market share and profit.• Long run equilibrium must be one firm.

x 2x

P

Q

MR

MC

AC

D

Page 31: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Large MES• One firm, maximized profit like other monopolies.• Barrier to entry is economies of scale

Q*

P

Q

MR

MC

AC

D

P*

πDWL

Page 32: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Regulating This Monopoly• Considered regular monopoly.• Regulate price where MC = demand• Profit > 0.

QR

P

Q

MR

MC

AC

D

PR π

Page 33: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Natural Monopoly: Technically• Definition is a firm for which AC is declining where AC = demand• Still can earn economic profit in the long run.• But why AC declining?

P

Q

MR

MC

AC

D

Q*

P* πDWL

Page 34: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Natural Monopoly: Technically• If AC declining at intersection with demand, it requires MC < AC

where MC=MB.• Sadly, regulation cannot require MC=MB without firm exit.

P

Q

MR

MC

AC

D

QR

PRLoss

Page 35: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Natural Monopoly: Subsidized• Could subsidize the firm (equal to loss).• Not very popular. But it is one way to think about the economics

of mass transit, which is heavily subsidized.P

Q

MR

MC

AC

D

QR

PR

Subsidy

Page 36: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Natural MonopolyAverage Cost Pricing

• Average cost pricing regulation ensures continued production.• DWL results, but it is the more usual strategy.

P

Q

MR

MC

AC

D

QR,ACP

PR,ACP

DWL

Page 37: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Multi-plant Profit MaxChoose q1 and q2

• Assuming you know C1*=C(v, w, Q1), C2

*=C(v, w, Q2)

1 2

1 2

1 2 1 2 1 1 2 2q ,q

1 2 1 1 2 2q ,q

q1 1 2 1

q2 1 2 2

1 2

1 2 1 2

max p q q q q C v,w,q C v,w,q

max R q q C q C q

FOCMR(q q ) MC(q ) 0

MR(q q ) MC(q ) 0

Choose q and q such that:MR(q q ) MC(q ) MC(q ) The MC in each plant much equal

MR of output as a whole.

MR the same in each FOC as the market does not care which plant each unit was produced.

Page 38: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Multi-plant Profit Max, SOC

2 2 2

1 1 1 1 1 2

21

1 1

SOC, profit decreasing (MR falling faster than MC -- easy if MR falling and MC rising)

R R Rslope of total MR curve = ,

q q q q q q

Cslope of each plant's MC curves: plant 1: , p

q q

21

1 1

221

1 1 1 1

222

2 2 2 2

22 21

1 1 1 1 1 2

2

Clant 2:

q q

CR0, MC in plant 1 must be rising relative to MR

q q q q

CR0, MC in plant 2 must be rising relative to MR

q q q qNow the Hessian:

CR Rq q q q q q

22 22 2 21 2

221 1 1 1 2 2 2 2 1 22

2 1 2 2 2 2

C CR R R0

q q q q q q q q q qCR Rq q q q q q

Let's break this down on the next slide...

Page 39: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Multi-plant Profit Max, SOC22 22 2 2

1 2

1 1 2 2

2 22 2 2 22 2 2 22 1 1 2

1 1 2 2 1 1 1 1 2 2

C CR R R0

q q q q q q q q q q

C C C CR R R R0

q q q q q q q q q q q q q q q q

But the first and last terms cancel

2 2 2 22 22 1 1 2

2 2 1 1 1 1 2 2

out, leaving us with:

C C C CR R0

q q q q q q q q q q q qIf MR is negative (necessary for price setters) and MC is > 0, this must hold.Even if MC at both plants = 0, this will h

old.Even if MC is < 0 at each plant, this MIGHT still hold.Of course, we still need MC rising relative to MR in each plant.

Page 40: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Graphically

$

q1 q2

MC2MC1 MCT MCT

MR

D

p

QQ

q1+q2=Q

Page 41: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Example

1 22 2

1 1 2 22 2

1 2 1 2

1 2 11

1 2 22

1

2 2

2

Solution based on FOCDemand: P 200 .05Q, Q=q q

C .05q C .025q

200 q q .05q .025q

200 .1 q q .1q 0q

200 .1 q q .05q 0q

Solve each for q and set equal:1000-.5q 2,000 1.5qq 1

1

1 2

,000Into either of the FOC to get: q =500Check that MR = MC MC 50Q 1,500, P 125

1 2

1 1 2 2

1

1 1

2

2 22 2 2 22 2

1 2 1 2

1 1 2 2 1 1 2 2

SOCMC MC MR

.1, .05, .1q q q q Q Q

MCMR0; .1 .1 .2

Q Q q qMCMR

0; .1 .05 .15Q Q q q

C C C CR R0

q q q q q q q q q q q q

.1 .1 .1 .05 .05 .1 0

.01 .0

05 .005 0.02 0

Page 42: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopoly and Quality

• Firms purposely make goods less durable than they could so that we have to buy replacements more often!

Page 43: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopoly and Quality• Demand

• Profit

P P(Q,X), Q is quantity and X is qualityP P

0, 0Q X

P(Q,X) Q C(Q,X)FOC

P C P CP(Q,X) Q 0 Q P

Q Q Q Q Q

P C P CQ 0 Q

X X X X X

MR MC

MRx MCx

So long as Q* such that MR = MC, also set the MR from an increase in X = the MC of that extra X.

Page 44: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Graphically

MR

D(X)

P

QQ*

P

More quality means more demand and more profit

MR

D(X)

QQ*

MC

MC

AC

AC

Low X Medium X

Page 45: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Graphically

MR

D(X)

P

QQ*

But only to a point

MR

D(X)

P

QQ*

MC

AC

MC

AC

Medium XHigh X

Page 46: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopoly and Tax Policy

• Flat Tax (tax = t)• Unit Tax (tax = tQ)• Revenue Tax (tax = t·R(Q))• Profit (Earnings) Tax (tax = t·π)• For each, start with revenue function and total

cost function (C*).• R=R(Q) =P(Q)*Q• C*=C(Q)

Page 47: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

No Tax

R(Q) C(Q)FOC

R C: 0

Q Q QR CQ Q

P

Q

MC

D: P=P(Q)

MR

Q*

P* AC

Page 48: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

t

Flat Tax( t > 1)

R(Q) C(Q) tFOC

R C: 0

Q Q QR CQ Q

Same result as no tax.

P

Q

MC

D: P=P(Q)

MR

AC

ACt

Q*t

P*t

Page 49: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Unit Tax( t > 0)

*t

R(Q) C(Q) tQ

FOCR C

: t 0Q Q QR C

tQ Q

Different output from no tax. R C

Q where Q Q

P

Q

MC

D: P=P(Q)

MR

t

Q*t

P*t

AC

ACt=AC+t

MCt=MC+t

Page 50: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Revenue Tax(0 < t < 1)

*t

R(Q) 1 t C(Q)

FOCR C

: 1 t 0Q Q QR C

1 tQ Q

Different result from no tax. R C

Q where Q Q

P

Q

MC

D

P(1-t)

MRMRt=MR(1-t)

t

AC

Q*t

P*t

Page 51: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Tax(0 < t < 1)

R(Q) C(Q) 1 t

FOC

R C: 1 t 0

Q Q QR C

1 t 1 tQ QR CQ Q

Same result as no tax.

P

Q

MC

D: P=P(Q)

MR

t (1 t)

tt

Q*

P*

Page 52: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopolistic Competition in Long Run

• In the short run if π > 0, then there is no difference between a monopoly and a monopolistically competitive firm.

• But despite the fact that firms have market power, there are firms providing close enough substitutes that demand for all firms falls to a level where π = 0.

Page 53: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Profit Max , Choose Q• Assuming you know C*=C(v, w, q)

q

q

q

max P(Q) Q C v,w,Q

FOCMR(Q) MC(Q) 0

MR(Q) MC(Q), choose Q such that the MR = MC

R CAt the same time, if =0, then R=C and = , so AR = AC

Q Q

Page 54: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopolistic Competition in the Long Run

• MR=MC, AR=AC

MR

D: P=P(Q)

P

QQ*

MC

ACP*

Page 55: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Price Discrimination

• 1st degree• 2nd degree• 3rd degree

• Note, “1”, “2”, “3” mean nothing.

Page 56: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

First Degree, Perfect Price Discrimination

• All buyers are charged a price equal to their willingness to pay. TC in green, TR = blue+green.

• No DWL• No CS either

– Car dealerships– Colleges– Reverse Auction

• Priceline

P=MR

D: P=P(Q)

P

qq*

MC

AC

Page 57: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Third Degree Price Discrimination

• Firm can separate demanders with different demand elasticities and charge different prices to each group.

• A single price must be charged to all consumers in each demand group.

• Arbitrage must be prevented.

Page 58: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Third Degree Price Discrimination• It is easy, right… just set MR=MC

• But what is MR?

P P

Q

MC

D2

MR2MR1

P

Q1

D1

Q2

Page 59: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• If we set MR1 = MC for the first market, then

• MC for the second market has to start where MC left off. Now MR and MC are not the same in both markets. Oops!

P P

Q1Q2

MC

D2

MR2MR1

D1

MC=MR1

MC=MR2

3rd Degree Price Discrimination

MC’

Page 60: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• We need to know MR for each unit sold, whichever market it is sold in. We need MR1=MR2=MC.

• A horizontal sum of MR gets us the total MR curve.• Set MC = MRT to get the P that allows MR1=MR2=MC

P P

Q1Q2

MC

D2

MR2MR1

P

Q

D1

MRT

3rd Degree Price Discrimination

Page 61: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• Set that MC =MR1=MR2 to get the q in each market.

• At those q, use demand to get the P in each market to maximize profit. MR1=MR2, but P1≠P2

PMC

D2

MR2MR1

D1

MRT

3rd Degree Price Discrimination

P

Q

P

Q2Q1

Page 62: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

The Math• Max π = P1(Q1)•Q1+P2(Q2)•Q2-C(Q1+Q2)• FOC

• Solve for Q1 and Q2, then use demand curves to get P1 and P2

1 1 1

2 2 2

Q Q 1 Q 1 2

Q Q 2 Q 1 2

R (Q ) C (Q Q ) 0

R (Q ) C (Q Q ) 0

Page 63: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

MR and Elasticity• Remember that with price setters:

• Since MR is the same for both markets

• And…

… so all you need is e1 and e2

1MR P 1

e

1 21 2

21

2

1

1 1MR P 1 P 1

e e

11

ePP 1

1e

Page 64: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Example

1

2

21 1 1 1 1

22 2 2 2 2

1 2

2 21 1 2 2 1 2

Q 1

Q 2

1 1 1

Demand 1: P 80 5Q ; R 80Q 5Q

Demand 2: P 180 20Q ; R 180Q 20Q

Cost: C 50 20 Q Q

Max 80Q – 5Q 180Q 20Q – 50 20 Q Q

FOC80 – 10Q – 20

180 – 40Q – 20

Solve to get

Q 6; P 50; e 1.67;

1

2 2 22

1 1 .4

e

1Q 4; P 100; e 1.25; 1 .2

e

21

21

11 eP 1 1 and ;

P 2 211 e

Page 65: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• Set that MC =MR1=MR2 to get the q in each market.

• At those q, use demand to get the P in each market to maximize profit. MR1=MR2, but P1≠P2

P P

Q Q

MC

D2

MR2MR1

P

Q

D1

MRT

3rd Degree Price Discrimination

6

50

4

100

20

6

Page 66: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Constant MC

Q2Q1

Price

0

DDMRMR

MCMC

Q2*

P2

Q1*

P1

If MC is constant, you can simply set MR = MC in each market separately. Meh.

Page 67: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Second Degree• There are different definitions.

1. Sellers cannot differentiate buyers, so must set pricing to let the buyer self-sort themselves.

2. Generally achieved through non-linear pricing (price varies by quantity or quality).

• Includes– Volume discount (as you buy more, the price falls)– Two-Part Tariff (tariff meaning price)– Bundling

Page 68: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Volume Discount, Electricity• Graph is consumer specific• Consumer surplus now A + B + C• No so much a volume discount as a first use surcharge!

P

QQ3

MC=AC

A

B

PS C

P1

P2

P3

Page 69: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Volume Discount: Shoes• Buy one for full price, get a second pair for ½

price!• Consumer surplus now A + B

P

QQ2

MC=AC

A

BPSP1

P2

Page 70: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Two-Part Tariff• Tariff means “price”• First part is an “entry fee” and the second is

the per unit fee.• Even with volume discounts, we can think of

part of the initial higher price as an entry fee.• Some times the analysis is for the market and

sometimes consumer specific.

Page 71: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Two-Part Tariff(Demand is Market Demand with N consumers)

• Could max profit the usual way by PM, QM (PS = C+D+F+G+J+K)• But if you can charge a fee to be able to buy, fee =

(A+B+C+D+E)/N, then charge PC for the good.

MR

D: P=P(Q)

PMC

AC

Q

PM

PC

A B

C D E

F G H

QM QC

I

J

K L

• PS = A+B+C+D+E+ F+G+H+J+K+L

• If demanders potential consumer surplus varies a lot from (A+B+C+D+E)/N then that cannot be the entry fee.

Page 72: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Laser Printers• HP charges a low price for printers (the access fee)• However, if 10 buyers each have consumer surplus of $892 (from printer plus

ink) and the other 90 have CS = $12 each, entry fee is problematic.• When consumer demand varies a lot, low entry fee and higher unit price. For

printers, high demanders buy more as they use them up faster.

MR

D: P=P(Q)

PMC

AC

Q

PM

PC

A B

C D E

F G H

QM QC

I

J

K L

Page 73: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• High demanders and Low demanders• In this case, the entry fee must work for the low demanders,

and the price for use (ink cartridges), must be where the profit comes from.

Two-Part Tariff

MR

D

P

Q

PINK

MR D

P

MC=AC

Q

Printer Price

Representative Low DemanderRepresentative High Demander

Page 74: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• If mostly high demanders, then sacrifice the low.• Profit off the cartridges =$0.

Two-Part Tariff

MR

D

P

Q

PINK

MR D

P

MC=AC

Q

Printer Price

Representative Low DemanderRepresentative High Demander

0

Page 75: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• If mostly low demanders, get little from the high demanders.• Profit off the cartridges =$0.

Two-Part Tariff

MR

D

P

Q

PINK

MR D

P

MC=AC

Q

Printer Price

Representative Low DemanderRepresentative High Demander

Page 76: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Individual Analysis• Sometimes you see this as an individual level analysis.• Problem here is each consumer must be charged the same “A.”• In this case, assumption is MC=AC as a horizontal line.

P

QQC

MC=AC

A

PC

B

Page 77: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Consumer Analysis: Golf Club

• Demand for a round of golf: “A” is the cost of joining the club, Pg is the price of a round.

• “B” is revenue from each round.

P

QQg

MC=AC

A

Pg

B

Page 78: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Two-Part Tariff with Entry Fee Only• Here we assume there are two types of

consumers. High demanders and Low demanders

• Two different quantity or quality packages can be offered.

• Two-part tariff, but while the entry fee > 0, the unit fee is zero.

• Demanders self select whether they are willing to pay more or less.

Page 79: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• Assume MC = 0• Plan L: Charge a price = size of area A for Q1

• Plan H: Charge a price = size of A+B+C for Q2

Phone Plans

DH

P

QQ1

DL

Q2

A

B

C

Page 80: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• But the high demanders would choose Plan L, get Q1 minutes and gain CS = B.

• So it would seem that max charge for Play H is A + C.• High demanders pay A + C, and get CS = B.

Phone Plans

DH

P

QQ1

DL

Q2

CA

B

Page 81: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• Even better, don’t offer Q1 as an option.

• Plan L: Q’1 minutes for a price of A.

• Plan H: Q2 minutes for a price of A + A’ + C + C’.• High demanders still choose Plan H, get CS = B (which is now

smaller)

Phone Plans

DH

P

QQ1

DL

Q2

C

• Profit gains C’ and loses A’

Q’1

A’

C’

A

B

Page 82: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

• Profit Max: Q*1 stops moving leftward when ΔA’ = ΔC’

• Plan L: Q*1 minutes for a price of A.

• Plan H: Q2 minutes for a price of A + A’ + C + C’.• Low demanders get no surplus, high demanders get CS = B

Phone Plans

DH

P

QQ1

DL

Q2

C

Q*1

ΔA’

C’A

B

ΔC’

A’

Q*1 such that: PH (Q’1) = 2 PL (Q’1)

• Low demanders pay A and get A (no consumer surplus)• High demanders pay A+A’+C+C’ and get A+A’+B+C+C’

• Consumer surplus = B

Page 83: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Quantity and Quality• Phone carriers offer plans with more or fewer

numbers of unlimited minutes.• But firms can vary quality instead of quantity.

– Airlines offer business and coach class.• Don’t alter quantity, but quality• Lower the coach quality to encourage high demanding

business travelers to pony up for business class.

Page 84: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Bundling• There are several items that different consumers

are willing to pay different amounts for, but we don’t know which items each consumers values most.

• This is a version of buy one pair, get a second for ½ price, but you cannot buy one pair.

Page 85: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Bundling

P

QQ=2

MC=AC

A

B

80

40

• Econ students are willing to pay $80 for Excel and $40 for Word.• History students are willing to pay $40 for Excel and $80 for word.

• Selling them for $80 each means selling one of each so revenue is $160.

• Selling them for $40 each means selling four, for a total revenue of $160.

• Microsoft only sells a package of both for $120, so revenue is $240

Microsoft doesn’t need to know which program any buyer is willing to pay more for.

Page 86: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Monopoly and Patents• New ideas (inventions, creative works, etc.) are costly to

produce.• Once created, intellectual property has a low cost of

distribution.• Perfect competition in production is assured.• No incentive to do the hard work of creation.• Writers of the US Constitution saw this

– Framers specified patent and copyright protection• Yet guaranteed monopoly rights creates DWL.

– Framers saw this too and also specified limits.

Page 87: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Are the limits correct?

• 17 years for a patent• How does the PDV of DWL compare to the

PDV of all future consumer surplus?• Studies suggest the 17 year patent provides

about 90% of the CS that would be possible if the 17 years were adjusted either direction depending on the case.

Page 88: Market Power Without Strategic Behavior (Monopoly or Monopolistic Competition)

Copyright Duration

Assumes the author lives for 35 years beyond the creation of the work.So the current 105 year copyright is the 35 years while alive + 70.