Generalizations of the Nash equilibrium theorem in the KKM theory
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Publication:2381036
DOI10.1155/2010/234706zbMath1185.49002OpenAlexW2011670331WikidataQ59249827 ScholiaQ59249827MaRDI QIDQ2381036
Publication date: 13 April 2010
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/226394
Nash equilibriumKy Fan minimax inequalityFan-type analytic alternativeKKM principle for an abstract convex spacevon Neumann-Fan intersection theoremvon Neumann-Sion minimax theorem
Related Items (10)
Collectively fixed point theorems in noncompact abstract convex spaces with applications ⋮ Nash-type equilibria for systems of Szulkin functionals ⋮ A collectively fixed point theorem in abstract convex spaces and its applications ⋮ Optimality and duality theorems in nonsmooth multiobjective optimization ⋮ Sion’s Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm ⋮ The Fan minimax inequality implies the Nash equilibrium theorem ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Fixed point theorems and \(L^{*}\)-operators ⋮ A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems ⋮ Unnamed Item
Cites Work
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- Constructive proof of the min-max theorem
- On general minimax theorems
- A generalization of Tychonoff's fixed point theorem
- On the use of KKM multifunctions in fixed point theory and related topics
- Contractibility and generalized convexity
- Topological convexities, selections and fixed points
- Equilibrium existence theorems in KKM spaces
- Applications of general infimum principles to fixed-point theory and game theory
- Generalized KKM-type theorems in GFC-spaces and applications
- Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces
- Simplicial convexity and its applications
- Non-compact sets with convex sections. II
- Extension and selection theorems in topological spaces with a generalized convexity structure
- KKM and Ky Fan theorems in hyperconvex metric spaces
- Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
- Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems
- Remarks on a social equilibrium existence theorem of G. Debreu
- New topological versions of the Fan-Browder fixed point theorem.
- Existence theorems of Nash equilibria for non-cooperative \(n\)-person games
- Maximal elements and fixed points for binary relations on topological ordered spaces
- The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
- Acyclic versions of the von Neumann and Nash equilibrium theorems
- Ninety years of the Brouwer fixed point theorem
- Fixed points as Nash equilibria
- From a KKM theorem to Nash equilibria in \(L\)-spaces
- The Knaster-Kuratowski-Mazurkiewicz theorem and abstract convexities
- Nash points, Ky Fan inequality and equilibria of abstract economies in Max-plus and \(\mathbb B\)-convexity
- Applications of a theorem concerning sets with convex sections
- Note on noncooperative convex games
- On sets with convex sections
- The fixed point theory of multi-valued mappings in topological vector spaces
- Fixed points for Kakutani factorizable multifunctions
- Non-cooperative games
- On von Neumann's minimax theorem
- The Idzik type quasivariational inequalities and noncompact optimization problems
- Nonexpansive iterations in hyperbolic spaces
- Convexity on a topological space
- Continuous Selection Theorems in Generalized Convex Spaces
- SURFACES OF GENERAL TYPE WITH pg= 1 AND q = 0
- Best Approximation in ℝ-Trees
- ELEMENTS OF THE KKM THEORY ON CONVEX SPACES
- Equilibrium points in n -person games
- A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
- Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
- A Social Equilibrium Existence Theorem*
- Fixed Point Theorems for Multi-Valued Transformations
- Fixed points of compact multifunctions
- KKM and Nash equilibria type theorems in topological ordered spaces
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