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What restrictions do Bayesian games impose on the value of information?

Author

Listed:
  • Ehud Lehrer

    (Tel Aviv U.)

  • Dinah Rosenberg

    (U. Paris Nord)

Abstract

In a Bayesian game players play an unknown game. Before the game starts some players may receive a signal regarding the specific game actually played. Typically, information structures that determine different signals, induce different equilibrium payoffs.In zero-sum games the equilibrium payoff measures the value of the particular information structure which induces it. We pose a question as to what restrictions do Bayesian games impose on the value of information. We provide answers in two kinds of information structures: symmetric, where both players are equally informed, and one-sided where only one player is informed.

Suggested Citation

  • Ehud Lehrer & Dinah Rosenberg, 2003. "What restrictions do Bayesian games impose on the value of information?," Game Theory and Information 0312005, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpga:0312005
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    References listed on IDEAS

    as
    1. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
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    8. Ehud Lehrer & Dinah Rosenberg, 2003. "Information and Its Value in Zero-Sum Repeated Games," Game Theory and Information 0312003, University Library of Munich, Germany.
    9. Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107030206.
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    Citations

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    Cited by:

    1. Gossner, Olivier, 2010. "Ability and knowledge," Games and Economic Behavior, Elsevier, vol. 69(1), pages 95-106, May.
    2. Ezra Einy & Ori Haimanko & Biligbaatar Tumendemberel, 2012. "Continuity of the value and optimal strategies when common priors change," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 829-849, November.
    3. Cabrales, Antonio & Gossner, Olivier & Serrano, Roberto, 2017. "A normalized value for information purchases," Journal of Economic Theory, Elsevier, vol. 170(C), pages 266-288.
    4. Bernard De Meyer & Ehud Lehrer & Dinah Rosenberg, 2009. "Evaluating information in zero-sum games with incomplete information on both sides," Post-Print halshs-00390625, HAL.
    5. Tanja H�rtnagl & 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, University of Innsbruck.
    6. Rébillé, Yann, 2011. "A Radon-Nikodym approach to measure information," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 170-177, May.
    7. Kloosterman, Andrew, 2015. "Public information in Markov games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 28-48.

    More about this item

    Keywords

    value of information; zero-sum; information structure; partition; Beyesian game;

    JEL classification:

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

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