What is the max price (limit price) that an incumbent can charge which prevents entry;
Assume homogenous products…
Entrant believes incumbent will not alter price or quantity;
Diagram:
Pl < Pm; Q1 > Qm
No level of residual demand which entry would be profitable
Criticisms: Threat by incumbent to maintain Pl, Q1 credible? (I.e. does it benefit the incumbent?)
Structural barriers to entry
Basic industry conditions such as economies of scale, natural monopolies and network effects
If limit pricing is not credible post-entry
Potential entrant (PE) would not be deterred
If products are homogenous, what happens if entry occurs?
Both incumbent and entrant make losses
Crucial importance of uncertain’t about actual cost differences between incumbent and PE
Means limit pricing might be rational
Incumbent wants PE to believe post-entry prices will be low
PE knows incumbent’s payoffs from all possible post-entry pricing scenarios, then PE knows exactly what strategy incumbent will choose
But if PE is uncertain about post-entry price, incumbent’s strategy will affect PE’s expectations
High-cost incumbent could lower price to disguise its cost
Low-cost incumbent tried to signal PE that it has cost advantage - PE thinks only low-cost producer can price that low
PE learns of incumbent’s true cost
PE would know a high-cost incumbent has a strong incentive to represent true costs pre-entry
Seperating equilibrium: high and low-cost firms charge different prices in period 1 and his reveals incumbents true costs
Pooling equilibrium: high and low-cost firms charge same price in period 1, PE learns nothing about incumbent’s true costs until after entry
What makes limit pricing effective
PE must be uncertain about post-entry competition
Predatory pricing aim
Aimed at firms already in industry; intended to force them to exit
Typed:
Raising rival’s costs (marginal and fixed)
Investements to lower production costs
Utilising excess capacity
Often illegal (anti-competitive)
’The chain store paradox’ - Reinhard Selten
Multiple potential entrants
Each entrant makes decision independent of other entrants
Pay offs:
Incumbent can accommodate (cooperate) entry, payoffs are 2 or 5
If aggressive (fight) strategy is chosen payoffs are 0 and 5
The paradox
Selten assumed game played 20 times
In game 20, entrant knows that if he enters the incumbent’s rational policy is to accommodate entry so payoffs are 2,2
But this payoff must also hold in all previous stages of game
If game was played 20 times, total payoffs are 40 and 40
But policy does not maximise payoff to incumbent
Agressive strategy played in early stages of game miight deter current and future entrants
If incumbent was aggressive in first 10 games payoff would be 10 x 0 = 0 - future potential entrants would not enter as incumbent payoff would be (10x0 + 10x5)=50
Price discrimination
Charging different consumers different prices;
Profound welfare implications
First degree price discrimination
First degree price discrimination: complete transfer of consumer surplus to monopolist (no deadweight loss)
Second degree price discrimination
Price paid per unit declines with the quantity purcahsed
Monopolist extracts some, but not all consumer surplus
In diagram, equilibrium indicates a competitive outcome, only applies to last unit (eighth) purchased
This type of discrimination is most common in utilities
Third degree price discrimination
Price elasticity varies between groups of consumers;
Arbitrage is not permitted
This type of pricing is very common: student discounts; OAP discounts…
Group 1 has demand curve P = 200 - Q
Group 2 has demand curve P = 100 - Q
Group 1 has lower price elasticity than group 2
Price charged to group 1 > group 2
More general mathematical treatment
πmax:MCa+b=MRa+MRb
MC is marginal cost of producing total output, MRA and MRB are the marginal revenue functions in both market
MR=P(1−(1/∈B))
Pa(1−(1/∈a)=Pb(1−(1/∈b)
Where Pa and Pb are prices in market a and b
∈Aand∈B
Are price elasticity in each market if 3a < 3b then 1/3a > 1/3b
therefore: (1-(1/3a)) < (1-(1/3b))
Perfect (first degree) price discrimination
Efficient
Same quantity is sold as would be sold by a competitive industry
Consumer surplus transferred to monopolist (but society is no worse off)