Existence of Maximal Element and Equilibrium for a Nonparacompact N-Person Game

DOI10.2307/2159449zbMath0770.90082OpenAlexW4235806390MaRDI QIDQ4031462

Won Kyu Kim

Publication date: 1 April 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159449

zbMATH Keywords

\(L_ s\)-majorized correspondencemaximal element existence theoremnonparacompact sets

Mathematics Subject Classification ID

(n)-person games, (n>2) (91A06) Multisectoral models in economics (91B66) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (16)

Existence of equilibria for generalized games without paracompactness ⋮ Generalized vector mixed general quasi-variational-like inequalities in Hausdorff topological vector spaces ⋮ Existence of equilibrium and separation in generalized games ⋮ Maximal elements and equilibria for u-majorised preferences ⋮ Existence of equilibria of generalized games without compactness and paracompactness ⋮ Equilibria of nonparacompact generalized games with \(\mathcal L_{F_c}\)-majorized correspondences in \(G\)-convex spaces. ⋮ An existence theorem for maximal elements and its applications ⋮ A remark on the paper “existence of equilibria of generalized games without compactness and paracompactness” ⋮ Generalized vector quasi-equilibrium problems with set-valued mappings ⋮ Existence of equilibria for generalized games and generalized social systems with coordination ⋮ Equilibria of nonparacompact generalized games with \(\mathcal L_c\)-majorized correspondences in \(FC\)-spaces ⋮ Generalized vector quasi-variational-like inequalities ⋮ Maximal element with applications to Nash equilibrium problems in Hadamard manifolds ⋮ The study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces ⋮ Equilibria and maximal elements of abstract fuzzy economies and qualitative fuzzy games ⋮ Existence of vector quasi-variational-like inequalities for fuzzy mappings

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