Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality
type: Item
instance of: scholarly article
title: Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality
zbMATH Open document ID: 1365.49010
author: Didier Aussel
author: Simone Sagratella
published in: Mathematical Methods of Operations Research
publication date: 2017-04-13T00:00:00Z
review text: The main purpose of the present paper is to describe a subclass of generalized Nash Equilibrium Problems (NEPs) for which it is possible to obtain a full characterization of the solutions of a suitable problem as solutions of some variational inequalities. The authors establish some sufficient conditions for a generalized Nash equilibrium problem to be variational. The authors also define the concept of pseudo-NEP generalized Nash equilibrium problem and show that this property can be reached even if the considered generalized Nash equilibrium problem does not satisfy any convexity assumptions.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 91B26
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 6705657
zbMATH Keywords: quasivariational inequality
zbMATH Keywords: generalized Nash equilibrium problem
zbMATH Keywords: reproducible set-valued map
zbMATH Keywords: quasiconvexity
describes a project that uses: QVILIB
MaRDI profile type: Publication
full work available at URL: s00186-016-0565-x
OpenAlex ID: W2560830503
cites work: Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming
cites work: Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC
cites work: Generalized Nash equilibrium problem, variational inequality and quasiconvexity
cites work: Addendum to: ``Generalized Nash equilibrium problem, variational inequality and quasiconvexity''
cites work: On the solution of the KKT conditions of generalized Nash equilibrium problems
cites work: Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Generalized Nash equilibrium problems
cites work: On the computation of all solutions of jointly convex generalized Nash equilibrium problems
cites work: On generalized Nash games and variational inequalities
cites work: Q4921905
cites work: Solving quasi-variational inequalities via their KKT conditions
cites work: The semismooth Newton method for the solution of quasi-variational inequalities
cites work: Q3141900
cites work: A Canonical Duality Approach for the Solution of Affine Quasi-Variational Inequalities
cites work: A canonical duality approach for the solution of affine quasi-variational inequalities
cites work: Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
cites work: Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
cites work: Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
DOI: 10.1007/S00186-016-0565-X
Recommended article: Solvability conditions for variational-like inequalities
Recommended article: Q5706577
Recommended article: Solving quasi-variational inequalities via their KKT conditions
Recommended article: Q3640700
Recommended article: Existence conditions in general quasimonotone variational inequalities
Recommended article: Necessary and sufficient conditions for the existence of the implicit variational inequality problem
Recommended article: Existence of solutions for a generalized vector quasivariational inequality
Recommended article: Existence results for constrained quasivariational inequalities
Recommended article: Q5142567
Recommended article: Existence results for quasi variational inequalities
description: scientific article; zbMATH DE number 6705657