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Some equivalence results between mixed strategy Nash equilibria and minimax regret in 2x2 games

Author

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  • Andrea Gallice

    (University of Munich and ICER, Turin)

Abstract

We show that in any 2x2 game in which a unique mixed strategy Nash equilibrium exists, the probability distribution that this equilibrium assigns to player i is either the same or the mirror image of the distribution that the minimax regret criterion defines for player j. Sharper results that connect the two distributions for the same player are then established for the class of symmetric games.

Suggested Citation

  • Andrea Gallice, 2007. "Some equivalence results between mixed strategy Nash equilibria and minimax regret in 2x2 games," Economics Bulletin, AccessEcon, vol. 3(29), pages 1-8.
    • Handle: RePEc:ebl:ecbull:eb-07c70019
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    References listed on IDEAS

    as
    1. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October.
    2. Rustichini, Aldo, 1999. "Minimizing Regret: The General Case," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 224-243, October.
    3. Gallice, Andrea, 2007. "Best Responding to What? A Behavioral Approach to One Shot Play in 2x2 Games," Discussion Papers in Economics 1365, University of Munich, Department of Economics.
    4. Manski, Charles F., 2007. "Minimax-regret treatment choice with missing outcome data," Journal of Econometrics, Elsevier, vol. 139(1), pages 105-115, July.
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    Cited by:

    1. Gallice, Andrea, 2006. "Predicting one Shot Play in 2x2 Games Using Beliefs Based on Minimax Regret," Economic Theory and Applications Working Papers 12182, Fondazione Eni Enrico Mattei (FEEM).
    2. Gallice, Andrea, 2007. "Best Responding to What? A Behavioral Approach to One Shot Play in 2x2 Games," Discussion Papers in Economics 1365, University of Munich, Department of Economics.

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    More about this item

    JEL classification:

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

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