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Patent Nash equilibria in symmetric strictly competitive games

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  • Bahel, Eric

Abstract

This work refines the notion of Nash equilibrium in the case of symmetric strictly competitive games. We define a (complete and typically intransitive) binary relation allowing to identify the so-called latent actions, for which there exists a maximal tree whose nodes are all preferred to the considered action. We prove the existence of patent Nash equilibria (obtained after iterated elimination of latent actions) and then describe the configurations that may arise when the two players have four (or less) actions available.

Suggested Citation

  • Bahel, Eric, 2021. "Patent Nash equilibria in symmetric strictly competitive games," Economics Letters, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:ecolet:v:199:y:2021:i:c:s0165176521000100
    DOI: 10.1016/j.econlet.2021.109733
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    References listed on IDEAS

    as
    1. Bahel, Eric & Haller, Hans, 2013. "Cycles with undistinguished actions and extended Rock–Paper–Scissors games," Economics Letters, Elsevier, vol. 120(3), pages 588-591.
    2. Peter Duersch & Jörg Oechssler & Burkhard Schipper, 2012. "Pure strategy equilibria in symmetric two-player zero-sum games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 553-564, August.
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    More about this item

    Keywords

    Symmetric; Zero-sum; Nash equilibrium; Latent; Patent;
    All these keywords.

    JEL classification:

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

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