Generalized ordinal Nash games: Variational approach

Orestes Bueno; John Cotrina; Yboon García

doi:10.1016/j.orl.2023.04.004

Generalized ordinal Nash games: Variational approach

Orestes Bueno, John Cotrina, Yboon García

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

Resumen

It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study the existence of solutions for generalized ordinal Nash games, that is, generalized games where the player preferences are binary relations that do not necessarily admit a utility representation.

Idioma original	Inglés
Páginas (desde-hasta)	353-356
Número de páginas	4
Publicación	Operations Research Letters
Volumen	51
N.º	3
DOI	https://doi.org/10.1016/j.orl.2023.04.004
Estado	Publicada - may. 2023

Nota bibliográfica

Funding Information:
We would like to thank the anonymous referee for the valuable remarks and suggestions which certainly improved this work.

Publisher Copyright:
© 2023 Elsevier B.V.

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title = "Generalized ordinal Nash games: Variational approach",

abstract = "It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study the existence of solutions for generalized ordinal Nash games, that is, generalized games where the player preferences are binary relations that do not necessarily admit a utility representation.",

keywords = "Preference relations, Ordinal Nash games, Quasivariational inequalities",

author = "Orestes Bueno and John Cotrina and Yboon Garc{\'i}a",

year = "2023",

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doi = "10.1016/j.orl.2023.04.004",

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AU - Bueno, Orestes

AU - Cotrina, John

AU - García, Yboon

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N2 - It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study the existence of solutions for generalized ordinal Nash games, that is, generalized games where the player preferences are binary relations that do not necessarily admit a utility representation.

AB - It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study the existence of solutions for generalized ordinal Nash games, that is, generalized games where the player preferences are binary relations that do not necessarily admit a utility representation.

KW - Preference relations

KW - Ordinal Nash games

KW - Quasivariational inequalities

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U2 - 10.1016/j.orl.2023.04.004

DO - 10.1016/j.orl.2023.04.004

M3 - Article in a journal

SN - 0167-6377

VL - 51

SP - 353

EP - 356

JO - Operations Research Letters

JF - Operations Research Letters

IS - 3

ER -

Generalized ordinal Nash games: Variational approach

Resumen

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