A note on jointly convex Nash games

Orestes Bueno; Carlos Calderón; John Cotrina

doi:10.1080/02331934.2023.2281639

A note on jointly convex Nash games

Orestes Bueno
, Carlos Calderón
, John Cotrina

Research output: Contribution to journal › Article in a journal › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Number of pages	13
Journal	Optimization
Volume	74
Issue number	4
Early online date	15 Nov 2023
DOIs	https://doi.org/10.1080/02331934.2023.2281639
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2023 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Generalized Nash equilibrium
Generalized convexity
Variational inequalities
variational inequalities
generalized convexity

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10.1080/02331934.2023.2281639

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abstract = "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.",

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AU - Bueno, Orestes

AU - Calderón, Carlos

AU - Cotrina, John

PY - 2025

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AB - 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.

KW - Equilibrio de Nash generalizado

KW - Convexidad generalizada

KW - Desigualdades variacionales

KW - Generalized Nash equilibrium

KW - Generalized convexity

KW - Variational inequalities

KW - variational inequalities

KW - generalized convexity

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DO - 10.1080/02331934.2023.2281639

M3 - Article in a journal

SN - 0233-1934

VL - 74

JO - Optimization

JF - Optimization

IS - 4

ER -

A note on jointly convex Nash games

Abstract

Bibliographical note

Keywords

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