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Repeated games played by cryptographically sophisticated players

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  • GOSSNER, Olivier

    () (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

Abstract

We explore the consequences of the assumptions used in modern cryptographywhen applied to repeated games with public communication. Technically speaking, we model agents by polynomial Turing machinesand assume the existence of a trapdoor function. Under these conditions, we prove a Folk Theorem in which the minmax level of players has to be taken in correlated strategies instead of mixed strategies..

Suggested Citation

  • GOSSNER, Olivier, 1998. "Repeated games played by cryptographically sophisticated players," CORE Discussion Papers 1998035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1998035
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    References listed on IDEAS

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    10. José E. Vila & Amparo Urbano, 1999. "- Unmediated Talk Under Incomplete Information," Working Papers. Serie AD 1999-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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    Citations

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    Cited by:

    1. Bavly, Gilad & Neyman, Abraham, 2014. "Online concealed correlation and bounded rationality," Games and Economic Behavior, Elsevier, vol. 88(C), pages 71-89.
    2. 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.
    3. 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.
    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. repec:wsi:acsxxx:v:14:y:2011:i:06:n:s021952591100344x is not listed on IDEAS
    6. 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.
    7. Hannu Vartiainen, 2009. "A Simple Model of Secure Public Communication," Theory and Decision, Springer, vol. 67(1), pages 101-122, July.

    More about this item

    Keywords

    repeated games; bounded rationality; correlation; Turing machines; cryptography;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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