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A folk theorem for finitely repeated games with public monitoring

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  • Hörner, Johannes
  • Renault, Jérôme

Abstract

We adapt the methods from Abreu, Pearce and Stacchetti (1990) to finitely repeated games with imperfect public monitoring. Under a combination of (a slight strengthening of) the assumptions of Benoıˆt and Krishna (1985) and those of Fudenberg, Levine and Maskin (1994), a folk theorem follows. Three counterexamples show that our assumptions are tight.

Suggested Citation

  • Hörner, Johannes & Renault, Jérôme, 2023. "A folk theorem for finitely repeated games with public monitoring," TSE Working Papers 23-1473, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:128536
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    References listed on IDEAS

    as
    1. Smith, Lones, 1995. "Necessary and Sufficient Conditions for the Perfect Finite Horizon Folk Theorem," Econometrica, Econometric Society, vol. 63(2), pages 425-430, March.
    2. Michihiro Kandori, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 581-593.
    3. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    4. Tristan Tomala & Pauline Contou-Carrère, 2011. "Finitely repeated games with semi-standard," Post-Print hal-00580938, HAL.
    5. Gossner, Olivier, 1995. "The Folk Theorem for Finitely Repeated Games with Mixed Strategies," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(1), pages 95-107.
    6. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    7. Sekiguchi, Tadashi, 2001. "A negative result in finitely repeated games with product monitoring," Economics Letters, Elsevier, vol. 74(1), pages 67-70, December.
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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