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Repeated games played by cryptographically sophisticated players

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  • O. Gossner

Abstract

One of the main goals of bounded rationality models is to understand the limitations of agent's abilities in building representations of strategic situations as maximization problems and in solving these problems. Modern cryptography relies on the assumption that agents's computations should be implementable by polynominal Turing machines and on the exstence of a trapdoor function. Uder those assumption, we prove that very correlated equilibrium of the original infinitely repreated game can be implemented through public communication only.
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Suggested Citation

  • O. Gossner, 1999. "Repeated games played by cryptographically sophisticated players," THEMA Working Papers 99-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:99-07
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    References listed on IDEAS

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    Cited by:

    1. Halpern, Joseph Y. & Pass, Rafael & Seeman, Lior, 2019. "The truth behind the myth of the Folk theorem," Games and Economic Behavior, Elsevier, vol. 117(C), pages 479-498.
    2. Olivier Gossner & Tristan Tomala, 2007. "Secret Correlation in Repeated Games with Imperfect Monitoring," Mathematics of Operations Research, INFORMS, vol. 32(2), pages 413-424, May.
    3. Cedric Wanko, 2011. "A Secure Reversion Protocol That Generates Pay-Offs Dominating Rewards From Correlated Equilibrium," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 887-904.
    4. 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.
    5. Urbano, A. & Vila, J. E., 2004. "Unmediated communication in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 46(1), pages 143-173, January.
    6. O. Gossner, 2000. "Sharing a long secret in a few public words," THEMA Working Papers 2000-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    7. Bavly, Gilad & Neyman, Abraham, 2014. "Online concealed correlation and bounded rationality," Games and Economic Behavior, Elsevier, vol. 88(C), pages 71-89.
    8. Hannu Vartiainen, 2009. "A Simple Model of Secure Public Communication," Theory and Decision, Springer, vol. 67(1), pages 101-122, July.
    9. Olivier Gossner & Tristan Tomala, 2006. "Empirical Distributions of Beliefs Under Imperfect Observation," Mathematics of Operations Research, INFORMS, vol. 31(1), pages 13-30, February.
    10. Hubie Chen, 2013. "Bounded rationality, strategy simplification, and equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 593-611, August.
    11. Olivier Gossner & Penélope Hernández, 2003. "On the Complexity of Coordination," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 127-140, February.

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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