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On Uniform Conditions for the Existence of Mixed Strategy Equilibria

Author

Listed:
  • Pavlo Prokopovych

    (Kyiv School of Economics, Kyiv Economic Institute)

  • Nicholas C. Yannelis

    (University of Iowa/ The University of Manchester)

Abstract

Embarking from the concept of uniform payoff security (Monteiro P.K., Page F.H, J Econ Theory 134: 566-575, 2007), we introduce two other uniform conditions and then study the existence of mixed strategy Nash equilibria in games where the sum of the payoff functions is not necessarily upper semicontinuous.

Suggested Citation

  • Pavlo Prokopovych & Nicholas C. Yannelis, 2012. "On Uniform Conditions for the Existence of Mixed Strategy Equilibria," Discussion Papers 48, Kyiv School of Economics.
    • Handle: RePEc:kse:dpaper:48
    Note: Submitted to International Journal of Game Theory
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    File URL: http://repec.kse.org.ua/pdf/KSE_dp48.pdf
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    References listed on IDEAS

    as
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    6. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. "The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-380, December.
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    13. Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Post-Print hal-00750953, HAL.
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    Cited by:

    1. Vincenzo Scalzo, 2014. "On the existence of essential and trembling-hand perfect equilibria in discontinuous games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 1-12, April.
    2. Allison, Blake A. & Lepore, Jason J., 2014. "Verifying payoff security in the mixed extension of discontinuous games," Journal of Economic Theory, Elsevier, vol. 152(C), pages 291-303.

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    More about this item

    Keywords

    Discontinuous game; Diagonally transfer continuous game; Payoff secure game; Mixed strategy equilibrium; Transfer lower semicontinuity;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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