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TACIT COLLUSION. TACIT COLLUSION. Firms agree to play a certain strategy without explicitly saying so. They may stay within the law but collude tacitly by monitoring each other’s prices and keeping them the same. PLAN OF THE PRESENTATION. Basic model
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TACIT COLLUSION • Firms agree to play a certain strategy without explicitly saying so. • They may stay within the law but collude tacitly by monitoring each other’s prices and keeping them the same.
PLAN OF THE PRESENTATION • Basic model • Structural factors that facilitate/ hinder collusion: --Concentration --Entry barriers
Basic model • n identical firms with same marginal cost: c and discount factor: δ • Homogeneous product, so the customers all buy from the low price firm. No capacity constraint.
Basic model • In each period t=1,2,3etc firms fix prices. Payoffs are contingent upon their own action, and also the actions of their rivals. • Infinitely repeated game: -- repeated interaction is crucial --under a nonrepeated game or a finitely repeated game all firms will choose competitive price c
Basic model • Equilibrium strategy: trigger strategy
Basic model • Payoff from coordinating on collusive price: • Payoff from deviating:
Basic model • Coordinating is more profitable than deviating if: • Rewrite:
Basic model • Collusion is sustainable if: --The cost by deviating is big enough: sufficient weight on future profits --Players are patient enough :threshold for discount factor
Basic model • As a result of non-cooperative game, communication is not necessary. • However, communication may help in adjusting price to shocks without triggering a price war, a price between c and can be sustainable.
Relevant factors for collusion • Number of competitors: coordination is difficult with more parties involved. • Symmetry helps collusion, something about the assumptions in the basic model. • Multi-market contacts facilitate collusion.
Number of competitors • The smaller the number of participants, the easier to sustain collusion. Is ½ if n=2, 2/3 if n=3 • Easier for detecting deviation. Immediate punishment is crucial. • Higher degree of concentration facilitates collusion.
Relevant factors • Entry barriers facilitate collusion. --With more firms entering to the market, n increases, the stream of future profit declines. --”Hit and Run”
Relevant factors • Demand growth: • Collusion is easier in growing markets while more difficult in declining ones. • With growth rate g
Symmetry helps collusion • 1. Market shares: • A large firm (>1/2)and a small firm in the market. • IC for the large firm: • IC for the small firm:
Symmetry helps collusion • 2.Cost asymmetries leave collusion less scope: • Difficult to agree on pricing policy. • Difficult to agree on allocation of collusive profits under TACIT condition. • Even if the two obstacles above overcome, low cost firm still tends to deviate.
Symmetry helps collusion • Two firms with equal market share, and rigid demand D if p<or= v • IC for high cost firm • IC for low cost firm
Symmetry helps collusion • 3. discount factor • The firm with a smaller discount factor is more likely to deviate, for example, one in financial stress. • 4. Effect of differentiation of products is obscure. • Lower profit from deviation. • Weaker punishment.
Multi-market contact • Frequency of interaction between firms is increased. • Soften asymmetries in individual market. • Example: a duopoly situation, two markets A, B with the same collusive profit, one play has ¼ market share in A, ¾ in B.
Multi-market contact • If the firm computes it’s profit from the two markets together, it will stick to this path: