Global dynamics in repeated games with additively separable payoffs
AbstractThis 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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Bibliographic InfoArticle provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.
Volume (Year): 13 (2010)
Issue (Month): 4 (October)
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Other versions of this item:
- Takashi Kamihigashi & Taiji Furusawa, 2010. "Global Dynamics in Repeated Games with Additively Separable Payoffs," Discussion Paper Series DP2010-04, Research Institute for Economics & Business Administration, Kobe University, revised Jun 2010.
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
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