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

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

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.

Original language	English
Article number	107323
Journal	Operations Research Letters
Volume	62
DOIs	https://doi.org/10.1016/j.orl.2025.107323
State	Published - Sep 2025

Bibliographical note

Publisher Copyright:
© 2025

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Keywords

Abstract economy
Generalized Nash games
Jointly convex
Projected solutions

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10.1016/j.orl.2025.107323

Cite this

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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/

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DO - 10.1016/j.orl.2025.107323

M3 - Article in a journal

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SN - 0167-6377

VL - 62

JO - Operations Research Letters

JF - Operations Research Letters

M1 - 107323

ER -

Remarks on projected solutions in generalized Nash games

Abstract

Bibliographical note

UN SDGs

Keywords

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