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Finitely Repeated Games with Automatic and Optional Monitoring

Author

Listed:
  • Yasuyuki Miyahara

    (Graduate School of Business Administration, Kobe University)

  • Tadashi Sekiguchi

    (Institute of Economic Research, Kyoto University)

Abstract
We study a new class of finitely repeated games with optional monitoring, where each player automatically receives complete information about the other players’ actions with some exogenously given probability. Only when the automatic information did not arrive, the player privately decides whether to exercise a costless monitoring option or not. We show that a weak decrease in the vector of the players’ probabilities of automatic monitoring is a necessary and sufficient condition for any repeated game with automatic and optional monitoring to have a weakly greater sequential equilibrium payoff vector set. This result considerably strengthens our earlier result, which only compares purely optional monitoring and the standard model of purely automatic monitoring. We also provide examples where existing folk theorems hold under any automatic and optional monitoring structure but not under the standard model.

Suggested Citation

  • Yasuyuki Miyahara & Tadashi Sekiguchi, 2016. "Finitely Repeated Games with Automatic and Optional Monitoring," Discussion Papers 2016-12, Kobe University, Graduate School of Business Administration.
    • Handle: RePEc:kbb:dpaper:2016-12
    as

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    File URL: https://www.b.kobe-u.ac.jp/papers_files/2016_12.pdf
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    References listed on IDEAS

    as
    1. Ichiro Obara, "undated". "Endogenous Monitoring," UCLA Economics Online Papers 398, UCLA Department of Economics.
    2. Ben-Porath, Elchanan & Kahneman, Michael, 2003. "Communication in repeated games with costly monitoring," Games and Economic Behavior, Elsevier, vol. 44(2), pages 227-250, August.
    3. Miyahara, Yasuyuki & Sekiguchi, Tadashi, 2013. "Finitely repeated games with monitoring options," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1929-1952.
    4. Flesch, János & Perea, Andrés, 2009. "Repeated games with voluntary information purchase," Games and Economic Behavior, Elsevier, vol. 66(1), pages 126-145, May.
    5. Kandori, Michihiro, 2002. "Introduction to Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 1-15, January.
    6. Miyagawa, Eiichi & Miyahara, Yasuyuki & Sekiguchi, Tadashi, 2008. "The folk theorem for repeated games with observation costs," Journal of Economic Theory, Elsevier, vol. 139(1), pages 192-221, March.
    7. Smith, Lones, 1995. "Necessary and Sufficient Conditions for the Perfect Finite Horizon Folk Theorem," Econometrica, Econometric Society, vol. 63(2), pages 425-430, March.
    8. Mailath George J. & Matthews Steven A. & Sekiguchi Tadashi, 2002. "Private Strategies in Finitely Repeated Games with Imperfect Public Monitoring," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-23, June.
    9. 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.
    10. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-922, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Repeated games; Monitoring option; Imperfect monitoring; Folk theorem;
    All these keywords.

    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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