Aggregative Variational Inequalities

Peter Hubert Mathieu von Mouche; Ferenc Szidarovszky

doi:10.1007/s10957-023-02164-w

Aggregative Variational Inequalities

Peter Hubert Mathieu von Mouche^*, Ferenc Szidarovszky

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

Abstract

We enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium results for Nash equilibria of sum-aggregative games and illustrate with Cournot oligopolies.

Original language	English
Pages (from-to)	1056-1092
Number of pages	37
Journal	Journal of Optimization Theory and Applications
Volume	196
Issue number	3
DOIs	https://doi.org/10.1007/s10957-023-02164-w
Publication status	Published - 13 Mar 2023

Keywords

Nonlinear complementarity problem
Pseudo-concavity
Selten–Szidarovszky technique
Sum-aggregative game
Variational inequality

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10.1007/s10957-023-02164-wLicence: CC BY

https://edepot.wur.nl/591222Licence: CC BY

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title = "Aggregative Variational Inequalities",

abstract = "We enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium results for Nash equilibria of sum-aggregative games and illustrate with Cournot oligopolies.",

keywords = "Nonlinear complementarity problem, Pseudo-concavity, Selten–Szidarovszky technique, Sum-aggregative game, Variational inequality",

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AU - von Mouche, Peter Hubert Mathieu

AU - Szidarovszky, Ferenc

PY - 2023/3/13

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N2 - We enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium results for Nash equilibria of sum-aggregative games and illustrate with Cournot oligopolies.

AB - We enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium results for Nash equilibria of sum-aggregative games and illustrate with Cournot oligopolies.

KW - Nonlinear complementarity problem

KW - Pseudo-concavity

KW - Selten–Szidarovszky technique

KW - Sum-aggregative game

KW - Variational inequality

U2 - 10.1007/s10957-023-02164-w

DO - 10.1007/s10957-023-02164-w

M3 - Article

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SP - 1056

EP - 1092

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Aggregative Variational Inequalities

Abstract

Keywords

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