Publication:
Equilibrium problems and generalized Nash games
Equilibrium problems and generalized Nash games
No Thumbnail Available
Date
2011
Authors
Nasri M.
Sosa W.
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis Ltd.
Research Projects
Organizational Units
Journal Issue
Abstract
In this article, we use Ky Fan's lemma to obtain a new existence result for equilibrium problems which does not invoke monotonicity of the objective function. Then we focus on reformulating of generalized Nash equilibrium problems (GNEPs) in terms of an equilibrium problem under reasonable assumptions. Finally, using our existence result and the reformulation, we obtain an existence result for GNEPs.
Description
Mostafa Nasri acknowledges his scholarship for his doctorate studies, granted jointly by CNPq and TWAS. The research of Wilfredo Sosa was partially supported from CONCYTEC (projects STIC-AMSUD) and by Research Institute of the Science Faculty of UNI.
Keywords
point-to-set operator,
equilibrium problem,
generalized Nash equilibrium problem,
Ky Fans lemma