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A Class of Games with Positive Value of Information

Author

Listed:
  • Bassan, B.
  • Gossner, O.
  • Scarsini, M.
  • Zamir, S.

Abstract

It is well known that, whereas in one-agent contexts the value of information is always positive, in strategic situations, this is not always the case. We will consider the class of games for which, under a specific information structure, there exists a unique Pareto payoff profile, and we show that any Nash-equilibrium payoff profile induced by a coarser information structure is Pareto dominated by this unique Pareto payoff profile. Therefore for these games the value of information is positive.

Suggested Citation

  • 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..
    • Handle: RePEc:fth:pnegmi:99-32
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    References listed on IDEAS

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    1. Safra, Zvi & Sulganik, Eyal, 1995. "On the Nonexistence of Blackwell's Theorem-Type Results with General Preference Relations," Journal of Risk and Uncertainty, Springer, vol. 10(3), pages 187-201, May.
    2. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-574, September.
    3. Gossner, Olivier, 2000. "Comparison of Information Structures," Games and Economic Behavior, Elsevier, vol. 30(1), pages 44-63, January.
    4. Neyman, Abraham, 1991. "The positive value of information," Games and Economic Behavior, Elsevier, vol. 3(3), pages 350-355, August.
    5. Kamien, Morton I. & Tauman, Yair & Zamir, Shmuel, 1990. "On the value of information in a strategic conflict," Games and Economic Behavior, Elsevier, vol. 2(2), pages 129-153, June.
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    Cited by:

    1. 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.
    2. Ehud Lehrer & Dinah Rosenberg, 2003. "Information and Its Value in Zero-Sum Repeated Games," Game Theory and Information 0312003, University Library of Munich, Germany.
    3. Alfred Müller & Marco Scarsini, 2002. "Even Risk-Averters may Love Risk," Theory and Decision, Springer, vol. 52(1), pages 81-99, February.

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    More about this item

    Keywords

    INFORMATION ; GAME THEORY ; UNCERTAINTY;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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