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Uniform Continuity of the Value of Zero-Sum Games with Differential Information

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Listed:
  • Einy, Ezra
  • Haimanko, Ori
  • Moreno, Diego
  • Shitovitz, Benyamin

Abstract

We establish uniform continuity of the value for zero-sum games with differential information, when the distance between changing information fields of each player is measured by the Boylan (1971) pseudo-metric. We also show that the optimal strategy correspondence is upper semicontinuous when the information fields of players change, even with the weak topology on players' strategy sets.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Einy, Ezra & Haimanko, Ori & Moreno, Diego & Shitovitz, Benyamin, 2007. "Uniform Continuity of the Value of Zero-Sum Games with Differential Information," Discussion Papers 2007-02, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:econdp:2007-02
    Note: Revised version of Discussion Paper # 04-04 of Monaster Center for Economic Research, Ben-Gurion University of the Negev.
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    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/16956/070econDP07-02.pdf
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    References listed on IDEAS

    as
    1. Van Zandt, Timothy, 2002. "Information, measurability, and continuous behavior," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 293-309, November.
    2. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005. "On the continuity of equilibrium and core correspondences in economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
    3. Cotter, Kevin D., 1986. "Similarity of information and behavior with a pointwise convergence topology," Journal of Mathematical Economics, Elsevier, vol. 15(1), pages 25-38, February.
    4. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    5. Kajii, Atsushi & Morris, Stephen, 1998. "Payoff Continuity in Incomplete Information Games," Journal of Economic Theory, Elsevier, vol. 82(1), pages 267-276, September.
    6. Stinchcombe, Maxwell B., 1990. "Bayesian information topologies," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 233-253.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Zero-Sum Games; Differential Information; Value; Op-timal Strategies; Uniform Continuity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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