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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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    1. Bergin James & MacLeod W. Bentley, 1993. "Efficiency and Renegotiation in Repeated Games," Journal of Economic Theory, Elsevier, vol. 61(1), pages 42-73, October.
    2. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    3. van Damme, Eric, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 47(1), pages 206-217, February.
    4. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    5. Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-323, March.
    6. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    7. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    8. Houba, Harold, 1997. "The policy bargaining model," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 1-27, August.
    9. Busch, Lutz-Alexander & Wen, Quan, 1995. "Perfect Equilibria in Negotiation Model," Econometrica, Econometric Society, vol. 63(3), pages 545-565, May.
    10. Fudenberg, Drew & Maskin, Eric, 1991. "On the dispensability of public randomization in discounted repeated games," Journal of Economic Theory, Elsevier, vol. 53(2), pages 428-438, April.
    11. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-252, March.
    12. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
    13. Asheim, Geir B., 1991. "Extending renegotiation-proofness to infinite horizon games," Games and Economic Behavior, Elsevier, vol. 3(3), pages 278-294, August.
    14. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    15. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    16. Wen, Quan, 1996. "On Renegotiation-Proof Equilibria in Finitely Repeated Games," Games and Economic Behavior, Elsevier, vol. 13(2), pages 286-300, April.
    17. Haller, Hans & Holden, Steinar, 1990. "A letter to the editor on wage bargaining," Journal of Economic Theory, Elsevier, vol. 52(1), pages 232-236, October.
    18. Chen, Kong-Pin, 1996. "Compensation Principle in Repeated Games," Games and Economic Behavior, Elsevier, vol. 16(1), pages 1-21, September.
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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. Yi-Shan Lu & Chien-Shu Tsai & Jen-Yao Lee & Chung-Yang Lee, 2024. "Collusive Stability with Relative Performance and Network Externalities," Games, MDPI, vol. 15(3), pages 1-7, June.
    4. 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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