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Repeated Games with Partial Monitoring: the Stochastic Signaling Case

Author

Listed:
  • John Hillas

    (SUNY at Stony Brook)

  • Min Liu

Abstract

In this work we extend a result of Lehrer characterizing the correlated equilibrium payoffs in undiscounted two player repeated games with partial monitoring to the case in which the signals are permitted to be stochastic. In particular we develop appropriate versions of Lehrer's concepts of ``indistinguishable'' and ``more informative.'' We also show that any payoff associated with a (correlated) distribution on strategy vectors in the stage game such that neither player can profitably deviate from one of his strategies to another that is indistinguishable and more informative is the payoff of a correlated equilibrium of the supergame.

Suggested Citation

  • John Hillas & Min Liu, 1996. "Repeated Games with Partial Monitoring: the Stochastic Signaling Case," Game Theory and Information 9605001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:9605001
    Note: Type of Document - AMSLaTeX2e; prepared on IBM PC - emTeX; to print on PostScript; pages: 1 + 15 ; figures: included
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    References listed on IDEAS

    as
    1. Lehrer, Ehud, 1991. "Internal Correlation in Repeated Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 431-456.
    2. Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107030206.
      • Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107662636.
    3. Lehrer, Ehud, 1992. "On the Equilibrium Payoffs Set of Two Player Repeated Games with Imperfect Monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 211-226.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Jérôme Renault & Tristan Tomala, 2011. "General Properties of Long-Run Supergames," Dynamic Games and Applications, Springer, vol. 1(2), pages 319-350, June.

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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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