Unified treatment of the problem of existence of maximal elements in binary relations: A characterization
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Publication:1300395
DOI10.1016/S0304-4068(97)00024-4zbMath1028.91524OpenAlexW2079788469MaRDI QIDQ1300395
Publication date: 1 September 1999
Published in: Journal of Mathematical Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4068(97)00024-4
Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02) Axiomatic and generalized convexity (52A01) Individual preferences (91B08)
Related Items (8)
Abstract Convexity, Some Relations and Applications ⋮ A more refined convexity idea for Nash equilibria ⋮ L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE ⋮ The Knaster-Kuratowski-Mazurkiewicz theorem and abstract convexities ⋮ Mixed choice structures, with applications to binary and non-binary optimization ⋮ The existence of maximal elements: Generalized lexicographic relations ⋮ Existence of equilibrium in generalized games with abstract convexity structure ⋮ Comments on abstract convexity structures on topological spaces
Cites Work
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- A generalization of Tychonoff's fixed point theorem
- Existence of maximal elements and equilibria in linear topological spaces
- On the existence of maximal elements
- Operator theorems with applications to distributive problems and equilibrium models
- Maximal elements of acyclic relations on compact sets
- A new generalization of the Schauder fixed point theorem
- Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
- Semiorders and a Theory of Utility Discrimination
- Necessary and Sufficient Conditions for Maximization of a Class of Preference Relations
- Quasi-Equilibria in Markets with Non-Convex Preferences
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