Equilibrium existence theorems of generalized games for generalized \(\mathcal L_{\theta, F_c}\)-majorized mapping in topological space

DOI10.1016/J.NA.2006.05.015zbMath1222.91036OpenAlexW2046893099MaRDI QIDQ880302

Lei Deng, Yan-Mei Du

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.05.015

zbMATH Keywords

maximal elementsgeneralized gamegeneralized \(\mathcal L_{\theta, F_c}\)-correspondencegeneralized \(\mathcal L_{\theta, F_c}\)-majorized mapping

Mathematics Subject Classification ID

Noncooperative games (91A10) Games involving topology, set theory, or logic (91A44) Games with infinitely many players (91A07) General equilibrium theory (91B50)

Related Items (1)

Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces

Cites Work

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• On equilibria of non-compact generalized games
• Abstract convexity and fixed points
• The study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces
• Existence of equilibrium for abstract economies
• New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements
• Generalized \(R\)-KKM theorems in topological space and their applications.
• Equilibria of nonparacompact generalized games with \(\mathcal L_{F_c}\)-majorized correspondences in \(G\)-convex spaces.
• Minimax inequalities on \(G\)-convex spaces with applications to generalized games
• Equilibria of noncompact generalized games with \(\mathcal U\)-majorized preference correspondences
• Existence of equilibria of generalized games without compactness and paracompactness
• Existence of an Equilibrium for a Competitive Economy
• Fixed-point theorems and equilibrium problems
• Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies
• Applications of a fixed point theorem in \(G\)-convex space

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