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Global dynamics in repeated games with additively separable payoffs

  • Takashi Kamihigashi

    (Kobe University)

  • Taiji Furusawa

    (Hitotsubashi University)

This paper studies the global dynamics of a class of infinitely repeated two-player games in which the action space of each player is an interval, and the one-shot payoff of each player is additively separable in actions. We define an immediately reactive equilibrium (IRE) as a pure-strategy subgame perfect equilibrium such that each player's action is a stationary function of the opponent's last action. We completely characterize IREs and their dynamics in terms of certain indifference curves. Our results are used to show that in a prisoners' dilemma game with mixed strategies, gradual cooperation occurs when the players are sufficiently patient, and that in a certain duopoly game, kinked demand curves emerge naturally. (Copyright: Elsevier)

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File URL: http://dx.doi.org/10.1016/j.red.2010.06.001
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Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 13 (2010)
Issue (Month): 4 (October)
Pages: 899-918

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Handle: RePEc:red:issued:08-141
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  1. Haller, Hans & Lagunoff, Roger, 2010. "Markov Perfect equilibria in repeated asynchronous choice games," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1103-1114, November.
  2. Taiji Furusawa, 2001. "Threats and Concessions in Tariff Settings," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-123, Boston University - Department of Economics.
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