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Strictly competitive games with infinitely many strategies

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  • Raimondo, Roberto

Abstract

Strictly competitive games are characterized by the fact that every pair of strategies is Pareto optimal in two-players games. We provide a characterization of strictly competitive games when the sets of strategies are not finite. The finite strategy case was settled by Adler, Daskalakis and Papadimitriou who fully proved a conjecture of Aumann.

Suggested Citation

  • Raimondo, Roberto, 2023. "Strictly competitive games with infinitely many strategies," Economics Letters, Elsevier, vol. 233(C).
    • Handle: RePEc:eee:ecolet:v:233:y:2023:i:c:s0165176523004366
    DOI: 10.1016/j.econlet.2023.111410
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    References listed on IDEAS

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    1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
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    Cited by:

    1. Khan, M. Ali & Pedersen, Arthur Paul & Schrittesser, David, 2024. "Two-Person Adversarial Games are Zero-Sum: An elaboration of a folk theorem," Economics Letters, Elsevier, vol. 242(C).

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    More about this item

    Keywords

    Strictly competitive games; Zero-sum games; Minimax;
    All these keywords.

    JEL classification:

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

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