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Generic finiteness of equilibrium payoffs for bimatrix games

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  • Mas-Colell, Andreu

Abstract

It is shown that in any affine space of payoff matrices the equilibrium payoffs of bimatrix games are generically finite.

Suggested Citation

  • Mas-Colell, Andreu, 2010. "Generic finiteness of equilibrium payoffs for bimatrix games," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 382-383, July.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:382-383
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    References listed on IDEAS

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    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
    3. Govindan, Srihari & McLennan, Andrew, 2001. "On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms," Econometrica, Econometric Society, pages 455-471.
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    Cited by:

    1. Litan, Cristian & Marhuenda, Francisco & Sudhölter, Peter, 2015. "Determinacy of equilibrium in outcome game forms," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 28-32.
    2. Pimienta, Carlos, 2010. "Generic finiteness of outcome distributions for two-person game forms with three outcomes," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 364-365, May.
    3. Litan, Cristian M. & Marhuenda, Francisco, 2012. "Determinacy of equilibrium outcome distributions for zero sum and common utility games," Economics Letters, Elsevier, vol. 115(2), pages 152-154.
    4. Litan, Cristian & Marhuenda, Francisco & Sudhölter, Peter, 2017. "Generic Finiteness of Equilibrium Distributions for Bimatrix Outcome Game Forms," Discussion Papers of Business and Economics 7/2017, University of Southern Denmark, Department of Business and Economics.

    More about this item

    Keywords

    Bimatrix games Generic finiteness;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • D - Microeconomics

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