Existence of equilibrium in generalized games with abstract convexity structure

DOI10.1023/A:1004618113022zbMath1004.91006OpenAlexW112560513MaRDI QIDQ1579638

Juan-Vicente Llinares

Publication date: 3 February 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004618113022

zbMATH Keywords

fixed pointsequilibriaabstract convexitygeneralized gamesmc-spaces

Mathematics Subject Classification ID

Noncooperative games (91A10) Games involving topology, set theory, or logic (91A44) Axiomatic and generalized convexity (52A01) General equilibrium theory (91B50)

Related Items (2)

A collectively fixed point theorem in abstract convex spaces and its applications ⋮ Existence of generalized Nash equilibrium in \(n\)-person noncooperative games under incomplete preference

Cites Work

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• Existence of maximal elements and equilibria in linear topological spaces
• Contractibility and generalized convexity
• Simplicial convexity and its applications
• Equilibrium in abstract economies without ordered preferences
• Unified treatment of the problem of existence of maximal elements in binary relations: A characterization
• A fixed point theorem and equilibrium point of an abstract economy
• A fixed point theorem in H-space and related results
• A Social Equilibrium Existence Theorem*

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