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Justifiable punishments in repeated games

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  • Aramendia, Miguel
  • Wen, Quan

Abstract

In repeated games, subgame perfection requires all continuation strategy profiles must be effective to enforce the equilibrium; they serve as punishments should deviations occur. It does not require whether a punishment can be justified for the deviation, which creates a great deal of freedom in constructing equilibrium strategies, resulting the well-known folk theorem. We introduce justifiable punishments in repeated games. After one player deviates, the corresponding continuation or punishment is justifiable if either the deviation is bad to the other player or the continuation itself is good to the other player. We characterize the set of payoff vectors that can be supported by subgame perfect equilibria with justifiable punishments, as the discount factor goes to one. This limiting set of equilibrium payoffs can be quite different from the set of subgame perfect equilibrium payoffs. Any efficient, feasible, and strictly individually rational payoff can be supported by equilibrium with justifiable punishments.

Suggested Citation

  • Aramendia, Miguel & Wen, Quan, 2014. "Justifiable punishments in repeated games," Games and Economic Behavior, Elsevier, vol. 88(C), pages 16-28.
    • Handle: RePEc:eee:gamebe:v:88:y:2014:i:c:p:16-28
    DOI: 10.1016/j.geb.2014.07.004
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    Cited by:

    1. Aramendia, Miguel & Wen, Quan, 2020. "Myopic perception in repeated games," Games and Economic Behavior, Elsevier, vol. 119(C), pages 1-14.
    2. Wei, Dong, 2019. "A model of trust building with anonymous re-matching," Journal of Economic Behavior & Organization, Elsevier, vol. 158(C), pages 311-327.
    3. Aramendia, Miguel & Wen, Quan, 2015. "Repeated Cournot model with justifiable punishments," Economics Letters, Elsevier, vol. 136(C), pages 171-174.

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    More about this item

    Keywords

    Repeated game; Folk theorem; Renegotiation proof;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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