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A sufficient condition on the existence of pure equilibrium in two-person symmetric zerosum games

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  • Ismail, M.S.

    (Microeconomics & Public Economics)

Abstract

In this note, we introduce a new sufficient condition, called sign-quasiconcavity, on the existence of a pure equilibrium in two-person symmetric zerosum games, which generalizes both generalized ordinal potentials (Monderer and Shapley, 1996) and quasiconcavity (Duerschet al., 2012).

Suggested Citation

  • Ismail, M.S., 2014. "A sufficient condition on the existence of pure equilibrium in two-person symmetric zerosum games," Research Memorandum 035, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2014035
    DOI: 10.26481/umagsb.2014035
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    References listed on IDEAS

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    1. David K. Levine & Drew Fudenberg, 2006. "A Dual-Self Model of Impulse Control," American Economic Review, American Economic Association, vol. 96(5), pages 1449-1476, December.
    2. Radzik, Tadeusz, 1991. "Saddle Point Theorems," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(1), pages 23-32.
    3. 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.
    4. Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
    5. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    6. Walker, Mark, 1977. "On the existence of maximal elements," Journal of Economic Theory, Elsevier, vol. 16(2), pages 470-474, December.
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