Location of Nash equilibria: A Riemannian geometrical approach

DOI10.1090/S0002-9939-09-10145-4zbMath1189.91018WikidataQ115290090 ScholiaQ115290090MaRDI QIDQ3559011

Alexandru Kristály

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

variational inequalityRiemannian manifoldNash equilibriumacyclic setefficient location

Mathematics Subject Classification ID

Noncooperative games (91A10) Variational inequalities (49J40) Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (14)

Equilibrium problems on Riemannian manifolds with applications ⋮ Linear Convergence of Subgradient Algorithm for Convex Feasibility on Riemannian Manifolds ⋮ An extragradient method for non-monotone equilibrium problems on Hadamard manifolds with applications ⋮ Limiting subdifferential calculus and perturbed distance function in Riemannian manifolds ⋮ A new approach about equilibrium problems via Busemann functions ⋮ Inexact proximal point algorithm for quasiconvex optimization problems on Hadamard manifolds ⋮ Stackelberg equilibria via variational inequalities and projections ⋮ Nash-type equilibria on Riemannian manifolds: a variational approach ⋮ Existence and stability of solutions for maximal element theorem on Hadamard manifolds with applications ⋮ Equilibrium problems in Hadamard manifolds ⋮ A Nash type solution for hemivariational inequality systems ⋮ Maximal element with applications to Nash equilibrium problems in Hadamard manifolds ⋮ Extragradient-like method for pseudomonotone equilibrium problems on Hadamard manifolds ⋮ Combinatorial convexity in Hadamard manifolds: existence for equilibrium problems

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• Infimum Principle
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• Parametric Borwein-Preiss variational principle and applications
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• Equilibrium points in n -person games

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