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A Note on the Evaluation of Information in Zero-Sum Repeated Games

Author

Listed:
  • Dinah Rosenberg

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Ehud Lehrer

    (TAU - School of Mathematical Sciences [Tel Aviv] - TAU - Raymond and Beverly Sackler Faculty of Exact Sciences [Tel Aviv] - TAU - Tel Aviv University)

Abstract

Two players play a zero-sum repeated game with incomplete information. Before the game starts one player receives a private signal that depends on the realized state of nature. The rules that govern the choice of the signal are determined by the information structure of the game. Different information structures induce different values. The value-of-information function of a game associates every information structure with the value it induces. We characterize those functions that are value-of-information functions for some zero-sum repeated game with incomplete information.

Suggested Citation

  • Dinah Rosenberg & Ehud Lehrer, 2010. "A Note on the Evaluation of Information in Zero-Sum Repeated Games," Post-Print hal-00537092, HAL.
    • Handle: RePEc:hal:journl:hal-00537092
    DOI: 10.1016/j.jmateco.2010.02.002
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    Cited by:

    1. Tanja Hörtnagl & Rudolf Kerschbamer, 2014. "How the Value of Information Shapes the Value of Commitment Or: Why the Value of Commitment Does Not Vanish," Working Papers 2014-03, Faculty of Economics and Statistics, Universität Innsbruck.
    2. Kloosterman, Andrew, 2015. "Public information in Markov games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 28-48.
    3. Yanling Chang & Alan Erera & Chelsea White, 2015. "Value of information for a leader–follower partially observed Markov game," Annals of Operations Research, Springer, vol. 235(1), pages 129-153, December.
    4. Pierre Cardaliaguet & Catherine Rainer & Dinah Rosenberg & Nicolas Vieille, 2016. "Markov Games with Frequent Actions and Incomplete Information—The Limit Case," Mathematics of Operations Research, INFORMS, vol. 41(1), pages 49-71, February.
    5. Romulus Breban, 2016. "A mathematical model for a gaming community," Papers 1607.03161, arXiv.org.

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