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

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

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

Keywords

Preference relations
Ordinal Nash games
Quasivariational inequalities

UN SDGs

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

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10.1016/j.orl.2023.04.004

Cite this

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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.",

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

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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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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

Keywords

UN SDGs

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