Characterization of the existence of a pure-strategy Nash equilibrium

DOI10.1016/J.AML.2008.08.005zbMath1161.91305OpenAlexW2007824028MaRDI QIDQ1021799

Ji-cheng Hou

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.005

zbMATH Keywords

Nash equilibriumpure strategynon-cooperative game\(\mathcal C\)-quasiconcavitydiagonal transfer continuity

Mathematics Subject Classification ID

Noncooperative games (91A10)

Related Items (7)

Some new generalizations of nonempty intersection theorems without convexity assumptions and essential stability of their solution set with applications ⋮ Variational relation problem without the KKM property with applications ⋮ Evolution of the minimax inequality of Ky Fan ⋮ Generalized Knaster-Kuratowski-Mazurkiewicz theorem without convex hull ⋮ Inequalities and Nash equilibria ⋮ Existence of equilibria for discontinuous games in general topological spaces with binary relations ⋮ A Necessary and Sufficient Condition for Partial Monotonicity of Noncooperative Games

Cites Work

• Unnamed Item
• Unnamed Item
• Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities
• The existence of Nash equilibrium in \(n\)-person games with \(\mathcal C\)-concavity.
• On the existence of pure-strategy Nash equilibrium
• Note on noncooperative convex games
• Non-cooperative games
• The Existence of Equilibrium in Discontinuous Economic Games, I: Theory
• Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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