Acyclic versions of the von Neumann and Nash equilibrium theorems

DOI10.1016/S0377-0427(99)00246-0zbMath0947.47039MaRDI QIDQ1963882

Sehie Park

Publication date: 2 November 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Nash equilibriummultivalued mapacyclic mapvon Neumann intersection theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (9)

Pareto equilibria for constrained multiobjective games in locally \(L\)-convex spaces ⋮ Further generalizations of the Gale-Nikaido-Debreu theorem ⋮ Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ A unified fixed point theory in generalized convex spaces ⋮ A more refined convexity idea for Nash equilibria ⋮ Fixed point theory of multimaps in abstract convex uniform spaces ⋮ The KKM principle in abstract convex spaces: equivalent formulations and applications ⋮ System of generalized vector quasi-equilibrium problems in locally FC-spaces ⋮ Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems

Cites Work

• Remarks on a social equilibrium existence theorem of G. Debreu
• Applications of a theorem concerning sets with convex sections
• On sets with convex sections
• An fixed point theorem
• Non-cooperative games
• Separation and Von Neumann Intersection Theorems
• Some Fixed Point Theorems for Composites of Acyclic Maps
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• A Social Equilibrium Existence Theorem*
• Fixed points of compact multifunctions
• Fixed points and quasi-equilibrium problems
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