A Theory of Dynamic Oligopoly, I: Overview and Quantity Competition with Large Fixed Costs
提出一类交替行动的无限期双寡头模型,推导马尔可夫完美均衡的动态规划方程,并应用于高固定成本下的自然垄断,发现唯一对称均衡中仅一家企业活跃并实施限制定价。
The paper introduces a class of alternating-move infinite-horizon models of duopoly. The timing is meant to capture the presence of short-run commitments. Markov perfect equilibrium (MPE) in this context requires strategies to depend only on the action to which one's opponent is currently committed. The dynamic programming equations for an MPE are derived. The first application of the model is to a natural monopoly, in which fixed costs are so large that at most one firm can make a profit. The firms install short-run capacity. In the unique symmetric MPE, only one firm is active and practices the quantity analogue of limit pricing. For commitments of brief duration, the market is almost contestable. We conclude with a discussion of more general models in which the alternating timing is derived rather than imposed. Our companion paper applies the model to price competition and provides equilibrium foundations for kinked demand curves and Edgeworth cycles.