Rosen Games on Banach Spaces: Quasi-Convex Case

Carlos Calderón; John Cotrina; Yboon García

doi:10.1007/s11228-025-00748-4

Rosen Games on Banach Spaces: Quasi-Convex Case

Carlos Calderón
, John Cotrina
, Yboon García

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

1 Cita (Scopus)

Resumen

Estudiamos el juego de Nash generalizado propuesto por Rosen, que involucra conjuntos de estrategias acoplados entre jugadores a través de una restricción compartida. Demostramos una reducción a un juego clásico, lo que permite deducir el resultado de Rosen a partir del trabajo de Arrow y Debreu. Además, establecemos un resultado de existencia bajo el supuesto de cuasi-convexidad en espacios de Banach. También se presentan nuevos resultados de existencia para el caso no compacto bajo condiciones de coercitividad. Finalmente, se considera una economía abstracta como aplicación.

Idioma original	Inglés
Número de artículo	11
Publicación	Set-Valued and Variational Analysis
Volumen	33
N.º	11
DOI	https://doi.org/10.1007/s11228-025-00748-4
Estado	Publicada - 21 mar. 2025

Nota bibliográfica

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature B.V. 2025.

Palabras clave

Condiciones de coercitividad
Juegos de Nash generalizados
Restricciones compartidas
Desigualdad variacional

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10.1007/s11228-025-00748-4

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Rosen Games on Banach Spaces: Quasi-Convex Case
García Ramos, Y. V. (Expositor)
15 ene. 2015
Actividad: Participación en un evento › Participación en un evento como expositor, comentarista, panelista

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abstract = "We study the generalized Nash game proposed by Rosen, which involves strategy sets coupled across players through a shared constraint. We demonstrate a reduction to a classical game, allowing Rosen{\textquoteright}s result to be deduced from the work of Arrow and Debreu. Additionally, we establish an existence result under the quasi-convexity assumption in Banach spaces. New existence results are also provided for the non-compact case under coerciveness conditions. Finally, an abstract economy is considered as an application.",

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AU - Cotrina, John

AU - García, Yboon

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature B.V. 2025. ISSN: 1877-0541

PY - 2025/3/21

Y1 - 2025/3/21

N2 - We study the generalized Nash game proposed by Rosen, which involves strategy sets coupled across players through a shared constraint. We demonstrate a reduction to a classical game, allowing Rosen’s result to be deduced from the work of Arrow and Debreu. Additionally, we establish an existence result under the quasi-convexity assumption in Banach spaces. New existence results are also provided for the non-compact case under coerciveness conditions. Finally, an abstract economy is considered as an application.

AB - We study the generalized Nash game proposed by Rosen, which involves strategy sets coupled across players through a shared constraint. We demonstrate a reduction to a classical game, allowing Rosen’s result to be deduced from the work of Arrow and Debreu. Additionally, we establish an existence result under the quasi-convexity assumption in Banach spaces. New existence results are also provided for the non-compact case under coerciveness conditions. Finally, an abstract economy is considered as an application.

KW - Coerciveness conditions

KW - Generalized Nash games

KW - Shared constraints

KW - Variational inequality

KW - Condiciones de coercitividad

KW - Juegos de Nash generalizados

KW - Restricciones compartidas

KW - Desigualdad variacional

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DO - 10.1007/s11228-025-00748-4

M3 - Article in a journal

AN - SCOPUS:105000494343

SN - 1877-0533

VL - 33

JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

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Rosen Games on Banach Spaces: Quasi-Convex Case

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Rosen Games on Banach Spaces: Quasi-Convex Case

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