Global dynamics in repeated games with additively separable payoffs

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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.

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詳細情報 詳細情報について

  • CRID
    1050569015577594880
  • NII論文ID
    120003802950
  • NII書誌ID
    AA1123800X
  • ISSN
    10942025
  • HANDLE
    10086/22159
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB
    • CiNii Articles
    • KAKEN

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