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Entropy and codification in repeated games with imperfect monitoring

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  • GOSSNER, Olivier
  • TOMALA, Tristan

Abstract

We characterize the min max values of a class of repeated games with imperfect monitoring. Our result relies on the optimal trade-off for the team formed by punishing players between optimization of stage-payoffs and generation of signals for future correlation. Amounts of correlation are measured through the entropy function. Our theorem on min max values stems from a more general characterization of optimal strategies for a class of optimization problems.

Suggested Citation

  • GOSSNER, Olivier & TOMALA, Tristan, 2003. "Entropy and codification in repeated games with imperfect monitoring," LIDAM Discussion Papers CORE 2003033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2003033
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2003.html
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    References listed on IDEAS

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    1. Gossner, Olivier & Vieille, Nicolas, 2002. "How to play with a biased coin?," Games and Economic Behavior, Elsevier, vol. 41(2), pages 206-226, November.
    2. 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.
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    Cited by:

    1. Gilad Bavly & Abraham Neyman, 2003. "Online Concealed Correlation by Boundedly Rational Players," Discussion Paper Series dp336, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    2. Yair Goldberg, 2003. "On the Minmax of Repeated Games with Imperfect Monitoring: A Computational Example," Discussion Paper Series dp345, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.

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