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Information and Its Value in Zero-Sum Repeated Games

Author

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  • Ehud Lehrer
  • Dinah Rosenberg

Abstract

Two players play an unknown zero-sum repeated game. Before the game starts one player may receive signals, whose nature is specified by an information structure, regarding the game actually played. We characterize when one information structure is better for the maximizer than another. We also characterize those functions defined on partitions that determine the equilibrium payoff when one player is informed about the cell of the partition that contains the realized state.

Suggested Citation

  • Ehud Lehrer & Dinah Rosenberg, 2003. "Information and Its Value in Zero-Sum Repeated Games," Game Theory and Information 0312003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0312003
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0312/0312003.pdf
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    References listed on IDEAS

    as
    1. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    2. repec:dau:papers:123456789/6244 is not listed on IDEAS
    3. Gilboa, Itzhak & Lehrer, Ehud, 1991. "The value of information - An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 443-459.
    4. 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.
    5. Gossner, Olivier, 1998. "Secure Protocols or How Communication Generates Correlation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 69-89, November.
    6. Bassan, B. & Gossner, O. & Scarsini, M. & Zamir, S., 1999. "A Class of Games with Positive Value of Information," Papers 99-32, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    7. Gossner, Olivier, 2000. "Comparison of Information Structures," Games and Economic Behavior, Elsevier, vol. 30(1), pages 44-63, January.
    8. Jean-François Mertens & Abraham Neyman, 2003. "A value on ′AN," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 109-120, December.
    Full references (including those not matched with items on IDEAS)

    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. Lehrer, Ehud & Rosenberg, Dinah, 2006. "What restrictions do Bayesian games impose on the value of information?," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 343-357, June.
    3. 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.

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    More about this item

    Keywords

    value of information; repeated games;

    JEL classification:

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

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