In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence. The paper investigates all the relationships between them in the framework of the so-called abstract EP. The analysis is further detailed for variational inequalities and linear EPs, which include also Nash EPs with quadratic payoffs.

Bigi, G., Passacantando, M. (2015). Twelve monotonicity conditions arising from algorithms for equilibrium problems. OPTIMIZATION METHODS & SOFTWARE, 30(2), 323-337 [10.1080/10556788.2014.900552].

Twelve monotonicity conditions arising from algorithms for equilibrium problems

Passacantando, M
2015

Abstract

In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence. The paper investigates all the relationships between them in the framework of the so-called abstract EP. The analysis is further detailed for variational inequalities and linear EPs, which include also Nash EPs with quadratic payoffs.
No
Articolo in rivista - Articolo scientifico
Scientifica
equilibrium problems; monotonicity; Nash equilibria; variational inequalities;
English
323
337
15
Bigi, G., Passacantando, M. (2015). Twelve monotonicity conditions arising from algorithms for equilibrium problems. OPTIMIZATION METHODS & SOFTWARE, 30(2), 323-337 [10.1080/10556788.2014.900552].
Bigi, G; Passacantando, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/392101
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