A note on jointly convex Nash games

In this note we are interested in a relevant generalized Nash equilibrium problem, which was proposed by Rosen in 1965. An existence result is established in the general setting of quasiconvexity, by relaxing the continuity hypothesis of the objective functions, which is independent from the one giv...

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Published inOptimization Vol. 74; no. 4; pp. 953 - 965
Main Authors Bueno, Orestes, Calderón, Carlos, Cotrina, John
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 12.03.2025
Taylor & Francis LLC
Subjects
Game theory
generalized convexity
Generalized Nash equilibrium
variational inequalities
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Summary:In this note we are interested in a relevant generalized Nash equilibrium problem, which was proposed by Rosen in 1965. An existence result is established in the general setting of quasiconvexity, by relaxing the continuity hypothesis of the objective functions, which is independent from the one given by Aussel and Dutta in 2008.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2281639