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Bounding equilibrium payoffs in repeated games with private monitoring

Author

Listed:
  • Sugaya, Takuo

    (Graduate School of Business, Stanford University)

  • Wolitzky, Alexander

    (Department of Economics, MIT)

Abstract

We provide a simple sufficient condition for the existence of a recursive upper bound on (the Pareto frontier of) the sequential equilibrium payoff set at a fixed discount factor in two-player repeated games with imperfect private monitoring. The bounding set is the sequential equilibrium payoff set with perfect monitoring and a mediator. We show that this bounding set admits a simple recursive characterization, which nonetheless necessarily involves the use of private strategies. Under our condition, this set describes precisely those payoff vectors that arise in equilibrium for some private monitoring structure, if either non-stationary monitoring or communication is allowed.

Suggested Citation

  • Sugaya, Takuo & Wolitzky, Alexander, 2017. "Bounding equilibrium payoffs in repeated games with private monitoring," Theoretical Economics, Econometric Society, vol. 12(2), May.
    • Handle: RePEc:the:publsh:2270
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    References listed on IDEAS

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    Cited by:

    1. David Spector, 2022. "Cheap Talk, Monitoring and Collusion," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 60(2), pages 193-216, March.
    2. Abito, Jose Miguel & Chen, Cuicui, 2023. "A partial identification framework for dynamic games," International Journal of Industrial Organization, Elsevier, vol. 87(C).
    3. David Spector, 2017. "Cheap talk, monitoring and collusion," Working Papers hal-01975642, HAL.
    4. Sugaya, Takuo & Wolitzky, Alexander, 2018. "Bounding payoffs in repeated games with private monitoring: n-player games," Journal of Economic Theory, Elsevier, vol. 175(C), pages 58-87.
    5. Hörner, Johannes & Takahashi, Satoru, 2016. "How fast do equilibrium payoff sets converge in repeated games?," Journal of Economic Theory, Elsevier, vol. 165(C), pages 332-359.
    6. Awaya Yu & Fukai Hiroki, 2020. "Monitoring and coordination for essentiality of money," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(1), pages 1-7, January.
    7. Daehyun Kim, 2019. "Comparison of information structures in stochastic games with imperfect public monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 267-285, March.

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    More about this item

    Keywords

    Repeated games; private monitoring;

    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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