A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles
为经典的弯折需求曲线均衡和埃奇沃斯周期提供了博弈论基础,分析了轮流定价模型中的马尔可夫完美均衡,发现利润始终高于伯特兰均衡水平,并内生化时机选择验证了交替定价的合理性。
We provide game theoretic foundations for the classic kinked demand curve equilibrium and Edgeworth cycle. We analyze a model in which firms take turns choosing prices; the model is intended to capture the idea of reactions based on short-run commitment. In a Markov perfect equilibrium (MPE), a firm's move in any period depends only on the other firm's current price. There are multiple MPE's, consisting of both kinked demand curve equilibria and Edgeworth cycles. In any MPE, profit is bounded away from the Bertrand equilibrium level. We show that a kinked demand curve at the monopoly price is the unique symmetric renegotiation proof equilibrium when there is little discounting. We then endogenize the timing by allowing firms to move at any time subject to short-run commitments. We find that firms end up alternating, thus vindicating the ad hoc timing assumption of our simpler model. We also discuss how the model can be enriched to provide explanations for excess capacity and market sharing. KEiiwoRDs: Tacit collusion, Markov perfect equilibrium, kinked demand curve, Edgeworth cycle, excess capacity, market sharing, endogenous timing.