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.
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ZIAD, A. A Counterexample to 0-Diagonal Quasiconcavity in a Minimax Inequality. Journal of Optimization Theory and Applications 109, 457–462 (2001). https://doi.org/10.1023/A:1017530825781
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DOI: https://doi.org/10.1023/A:1017530825781