A Counterexample to 0-Diagonal Quasiconcavity in a Minimax Inequality

Abderrahmane Ziad

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 2, No 13, 457-462

Abstract: 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.

Keywords: minimax inequality; n-person games; Nash equilibrium; diagonal quasiconcavity (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017530825781

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