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

Producción científica: Contribución a una revista › Artículo de revista › revisión exhaustiva

4 Citas (Scopus)

Resumen

En esta nota, nos interesamos en un problema de equilibrio de Nash generalizado relevante, propuesto por Rosen en 1965. Se establece un resultado de existencia en el entorno general de cuasiconvexidad, relajando la hipótesis de continuidad de las funciones objetivo, independientemente de la proporcionada por Aussel y Dutta en 2008.

Idioma original	Inglés
Número de páginas	13
Publicación	Optimization
Volumen	74
N.º	4
Fecha en línea anticipada	15 nov. 2023
DOI	https://doi.org/10.1080/02331934.2023.2281639
Estado	Publicada - 2025

Nota bibliográfica

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

Palabras clave

Equilibrio de Nash generalizado
Convexidad generalizada
Desigualdades variacionales

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10.1080/02331934.2023.2281639

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title = "A note on jointly convex Nash games",

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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author = "Orestes Bueno and Carlos Calder{\'o}n and John Cotrina",

note = "Publisher Copyright: {\textcopyright} 2023 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2025",

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T1 - A note on jointly convex Nash games

AU - Bueno, Orestes

AU - Calderón, Carlos

AU - Cotrina, John

PY - 2025

Y1 - 2025

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85176787195

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U2 - 10.1080/02331934.2023.2281639

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

Resumen

Nota bibliográfica

Palabras clave

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