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A Bound of the Proportion of Pure Strategy Equilibria in Generic Games

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Abstract

In a generic finite normal form game with 2(alpha) + 1 Nash equilibria, at least alpha of the equilibria are nondegenerate mixed strategy equilibria (that is, they involve randomization by some players).

Suggested Citation

  • Faruk Gul & David G. Pearce & Ennio Stacchetti, 1991. "A Bound of the Proportion of Pure Strategy Equilibria in Generic Games," Cowles Foundation Discussion Papers 981, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:981
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d09/d0981.pdf
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    References listed on IDEAS

    as
    1. Kehoe, Timothy J, 1980. "An Index Theorem for General Equilibrium Models with Production," Econometrica, Econometric Society, vol. 48(5), pages 1211-1232, July.
    2. Kehoe, Timothy J., 1982. "Regular production economies," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 147-176, September.
    3. Kehoe, Timothy J, 1983. "Regularity and Index Theory for Economies with Smooth Production Technologies," Econometrica, Econometric Society, vol. 51(4), pages 895-917, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Normal form; mixed strategy; game theory;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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