Aggregative Variational Inequalities

von Mouche, Peter Hubert Mathieu ORCID: https://orcid.org/0000-0001-5702-3340 and Szidarovszky, Ferenc (2023) Aggregative Variational Inequalities. Journal of Optimization Theory and Applications, 196 (3). pp. 1056-1092. DOI 10.1007/s10957-023-02164-w

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Official URL: https://doi.org/10.1007/s10957-023-02164-w

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.

Item Type:

Article

Uncontrolled Keywords:

variational inequality; Nonlinear complementarity problem; Pseudo-concavity; Selten-Szidarovszky technique; Sum-aggregative game;

Divisions:

Corvinus Institute for Advanced Studies (CIAS)

Subjects:

Mathematics, Econometrics

DOI:

10.1007/s10957-023-02164-w

ID Code:

11583