Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality

DOI10.1007/s00186-016-0565-xzbMath1365.49010OpenAlexW2560830503MaRDI QIDQ522085

Didier Aussel, Simone Sagratella

Publication date: 13 April 2017

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-016-0565-x

zbMATH Keywords

quasiconvexitygeneralized Nash equilibrium problemquasivariational inequalityreproducible set-valued map

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Auctions, bargaining, bidding and selling, and other market models (91B26)

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Uses Software

• QVILIB

Cites Work

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• A canonical duality approach for the solution of affine quasi-variational inequalities
• The semismooth Newton method for the solution of quasi-variational inequalities
• On the computation of all solutions of jointly convex generalized Nash equilibrium problems
• Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems
• Generalized Nash equilibrium problem, variational inequality and quasiconvexity
• Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
• Addendum to: ``Generalized Nash equilibrium problem, variational inequality and quasiconvexity
• Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
• Solving quasi-variational inequalities via their KKT conditions
• On generalized Nash games and variational inequalities
• A Canonical Duality Approach for the Solution of Affine Quasi-Variational Inequalities
• On the solution of the KKT conditions of generalized Nash equilibrium problems
• Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming
• Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
• Generalized Nash equilibrium problems