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Remarks on a social equilibrium existence theorem of G. Debreu

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Publication:1808610
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DOI10.1016/S0893-9659(98)00079-2zbMath1116.91329MaRDI QIDQ1808610

Sehie Park

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)


zbMATH Keywords

Nash equilibriumSaddle pointEquilibrium pointPolyhedronBerge's theoremAcyclicClosed mapLower semicontinuous (l.s.c.)Minimax theoremMultimapUpper semicontinuous (u.s.c.)


Mathematics Subject Classification ID


Related Items

Pareto equilibria for constrained multiobjective games in locally \(L\)-convex spaces, Further generalizations of the Gale-Nikaido-Debreu theorem, Generalizations of the Nash equilibrium theorem in the KKM theory, Acyclic versions of the von Neumann and Nash equilibrium theorems, Systems of generalized variational inequalities and their applications∗, Maximum theorems with strict quasi-concavity and applications, On some generalized quasi-equilibrium problems, Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems



Cites Work

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  • An fixed point theorem
  • Non-cooperative games
  • Equilibrium points in n -person games
  • Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
  • Fixed Point Theorems for Multi-Valued Transformations
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