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Maximin Play in Two-Person Bimatrix Games

Author

Listed:
  • Vitaly Pruzhansky

    (Faculty of Economics and Business Adminstration, Vrije Universiteit Amsterdam)

Abstract

Since the seminal paper of Nash (1950) game theoretic literature has focused mostly on equilibrium and not on maximin (minimax) strategies. We study the properties of these strategies in 2-player non-zero-sum strategic games, whose Nash equilibria are only mixed.

Suggested Citation

  • Vitaly Pruzhansky, 2003. "Maximin Play in Two-Person Bimatrix Games," Tinbergen Institute Discussion Papers 03-101/1, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20030101
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    File URL: https://papers.tinbergen.nl/03101.pdf
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    References listed on IDEAS

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    1. R. J. Aumann & M. Maschler, 1972. "Some Thoughts on the Minimax Principle," Management Science, INFORMS, vol. 18(5-Part-2), pages 54-63, January.
    2. Robert J. Aumann, 2025. "Subjectivity and Correlation in Randomized Strategies," World Scientific Book Chapters, in: SELECTED CONTRIBUTIONS TO GAME THEORY, chapter 4, pages 73-113, World Scientific Publishing Co. Pte. Ltd..
    3. Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May.
    4. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
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    Cited by:

    1. Gazda Vladimír & Barinková Karolína & Gróf Marek & Kubák Matús, 2010. "On Risky Behavior In Bimatrix Games," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(1), pages 165-169, July.

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    Keywords

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    JEL classification:

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

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