A counterexample to 0-diagonal quasiconcavity in a minimax inequality

DOI10.1023/A:1017530825781zbMath1013.91014OpenAlexW1549460329WikidataQ124978006 ScholiaQ124978006MaRDI QIDQ5949896

Abderrahmane Ziad

Publication date: 5 December 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017530825781

zbMATH Keywords

Nash equilibrium\(n\)-person games\(n\)-person nonzero-sum game0-diagonal quasiconcavityFan minimax inequality

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Cooperative games (91A12) (n)-person games, (n>2) (91A06)

Related Items (3)

The Fan minimax inequality implies the Nash equilibrium theorem ⋮ Existence of equilibria in constrained discontinuous games ⋮ Existence of equilibria for discontinuous games in general topological spaces with binary relations

Cites Work

• Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities
• On Nash equilibria in \(N\)-person games over reflexive Banach spaces
• New minimax inequality with applications to existence theorems of equilibrium points
• Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness
• Some intersection theorems and minimax inequalities
• Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs

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