Remarks on projected solutions in generalized Nash games

John Cotrina; Carlos Calderón

doi:10.1016/j.orl.2025.107323

Remarks on projected solutions in generalized Nash games

John Cotrina
, Carlos Calderón

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

Resumen

En este artículo, nos centramos en el concepto de soluciones proyectadas en juegos de Nash generalizados y examinamos su relación con los equilibrios de Nash generalizados. También establecemos la existencia de soluciones proyectadas mediante una elegante reformulación que permite utilizar un resultado de Arrow y Debreu. Finalmente, se considera la economía abstracta como una aplicación.

Idioma original	Inglés
Número de artículo	107323
Publicación	Operations Research Letters
Volumen	62
DOI	https://doi.org/10.1016/j.orl.2025.107323
Estado	Publicada - set. 2025

Nota bibliográfica

Publisher Copyright:
© 2025

ODS de las Naciones Unidas

Este resultado contribuye a los siguientes Objetivos de Desarrollo Sostenible

ODS 17: Alianzas para lograr los objetivos

Palabras clave

Economía abstracta
Juegos de Nash generalizados
Conjuntamente convexos
Soluciones proyectadas

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10.1016/j.orl.2025.107323

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title = "Remarks on projected solutions in generalized Nash games",

abstract = "In this paper, we focus on the concept of projected solutions in generalized Nash games and examine their relationship with generalized Nash equilibria. We also establish the existence of projected solutions through an elegant reformulation that allows the use of a result by Arrow and Debreu. Finally, abstract economy is considered as an application.",

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

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AU - Calderón, Carlos

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AB - In this paper, we focus on the concept of projected solutions in generalized Nash games and examine their relationship with generalized Nash equilibria. We also establish the existence of projected solutions through an elegant reformulation that allows the use of a result by Arrow and Debreu. Finally, abstract economy is considered as an application.

KW - Abstract economy

KW - Generalized Nash games

KW - Jointly convex

KW - Projected solutions

KW - Economía abstracta

KW - Juegos de Nash generalizados

KW - Conjuntamente convexos

KW - Soluciones proyectadas

UR - https://www.scopus.com/pages/publications/105008088026

UR - https://www.mendeley.com/catalogue/97e1af40-acd6-3b67-a51a-807083f72c92/

U2 - 10.1016/j.orl.2025.107323

DO - 10.1016/j.orl.2025.107323

M3 - Article in a journal

AN - SCOPUS:105008088026

SN - 0167-6377

VL - 62

JO - Operations Research Letters

JF - Operations Research Letters

M1 - 107323

ER -

Remarks on projected solutions in generalized Nash games

Resumen

Nota bibliográfica

ODS de las Naciones Unidas

Palabras clave

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Otros archivos y enlaces

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