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A Counterexample to 0-Diagonal Quasiconcavity in a Minimax Inequality

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  • A. ZIAD

    (Université de Caen)

Abstract

In this paper, a very simple example shows that, in a n- person nonzero-sum game, the quasiconvexity of the payoff functions is not sufficient to establish the 0-diagonal quasiconcavity in the Fan minimax inequality.

Suggested Citation

  • A. Ziad, 2001. "A Counterexample to 0-Diagonal Quasiconcavity in a Minimax Inequality," Journal of Optimization Theory and Applications, Springer, vol. 109(2), pages 457-462, May.
    • Handle: RePEc:spr:joptap:v:109:y:2001:i:2:d:10.1023_a:1017530825781
    DOI: 10.1023/A:1017530825781
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    References listed on IDEAS

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    1. X. Zhang, 1997. "Some Intersection Theorems and Minimax Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 195-207, July.
    2. M. B. Lignola, 1997. "Ky Fan Inequalities and Nash Equilibrium Points without Semicontinuity and Compactness," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 137-145, July.
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