Nash-type equilibrium theorems and competitive Nash-type equilibrium theorems.

DOI10.1016/S0898-1221(02)00263-8zbMath1103.91308MaRDI QIDQ1416346

Lai-Jiu Lin, Shih Feng Cheng

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

selectionNash equilibrium problemContinuous\(C\)-quasiconvexClosed multimap

Mathematics Subject Classification ID

Noncooperative games (91A10) Games involving topology, set theory, or logic (91A44)

Related Items (7)

Applications of some basic theorems in the KKM theory ⋮ Fixed point theorems in CAT(0) spaces with applications ⋮ Constrained weak Nash-type equilibrium problems ⋮ Generalized constrained multiobjective games in locally \(FC\)-uniform spaces ⋮ Weak Pareto equilibria for generalized constrained multiobjective games in locally \(FC\)-spaces ⋮ Pareto equilibria for generalized constrained multiobjective games in \(FC\)-spaces without local convexity structure ⋮ Generalizations of vector quasivariational inclusion problems with set-valued maps

Cites Work

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• The study of Pareto equilibria for multiobjective games by fixed point and Ky Fan minimax inequality methods
• Non-cooperative games
• A saddlepoint theorem for set-valued maps
• How to give an Exposition of the Cech-Alexander-Spanier type Homology Theory
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Set-valued analysis
• On some equilibrium problems for multimaps

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