Equilibrium problems and generalized Nash games

DOI10.1080/02331934.2010.527341zbMath1230.91012OpenAlexW2008132931MaRDI QIDQ3112508

Wilfredo Sosa, Mostafa Nasri

Publication date: 10 January 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.527341

zbMATH Keywords

equilibrium problemgeneralized Nash equilibrium problempoint-to-set operatorKy Fan's lemma

Mathematics Subject Classification ID

Noncooperative games (91A10) Variational inequalities (49J40)

Related Items

Exponential augmented Lagrangian methods for equilibrium problems ⋮ Implementation of augmented Lagrangian methods for equilibrium problems ⋮ A note on quasi-equilibrium problems ⋮ Existence and generic stability of open-loop Nash equilibria for noncooperative fuzzy differential games ⋮ New criteria for existence of solutions for equilibrium problems ⋮ Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems ⋮ Making Augmented Lagrangian Methods Computer Amenable for Equilibrium Problems ⋮ Equilibrium problems: existence results and applications ⋮ Augmented Lagrangian methods for variational inequality problems ⋮ The finite intersection property for equilibrium problems ⋮ An existence result for quasi-equilibrium problems via Ekeland's variational principle ⋮ A generalized Ky Fan minimax inequality on finite-dimensional spaces ⋮ Scalar and vector equilibrium problems with pairs of bifunctions

Cites Work

• A generalization of Tychonoff's fixed point theorem
• On certain conditions for the existence of solutions of equilibrium problems
• Generalized Nash equilibrium problem, variational inequality and quasiconvexity
• Existence of Nash equilibria for generalized games without upper semicontinuity
• Coercivity conditions for equilibrium problems
• Continuity properties of the normal cone to the level sets of a quasiconvex function
• New existence results for equilibrium problems
• Generalized monotone bifunctions and equilibrium problems
• On generalized Nash games and variational inequalities
• On the Existence of General Equilibrium for a Competitive Market
• Iterative Algorithms for Equilibrium Problems
• Augmented Lagrangian methods for variational inequality problems
• Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces
• Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
• Existence of an Equilibrium for a Competitive Economy
• Generalized Nash equilibrium problems
• A note on equilibrium problems with properly quasimonotone bifunctions

This page was built for publication: Equilibrium problems and generalized Nash games