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

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

3 Scopus citations

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.

Original language	English
Pages (from-to)	353-356
Number of pages	4
Journal	Operations Research Letters
Volume	51
Issue number	3
DOIs	https://doi.org/10.1016/j.orl.2023.04.004
State	Published - May 2023

Bibliographical note

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 8 Decent Work and Economic Growth
SDG 17 Partnerships for the Goals

Keywords

Preference relations
Ordinal Nash games
Quasivariational inequalities

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10.1016/j.orl.2023.04.004

Cite this

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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",

month = may,

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

language = "English",

volume = "51",

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TY - JOUR

T1 - Generalized ordinal Nash games

T2 - Variational approach

AU - Bueno, Orestes

AU - Cotrina, John

AU - García, Yboon

PY - 2023/5

Y1 - 2023/5

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

UR - https://www.mendeley.com/catalogue/b8133164-3c54-371c-a453-d3ce2ca5e783/

UR - https://www.scopus.com/pages/publications/85158838919

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

Abstract

Bibliographical note

UN SDGs

Keywords

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