Aggregative Variational Inequalities

Peter Hubert Mathieu Mouche () and Ferenc Szidarovszky ()
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Peter Hubert Mathieu Mouche: Wageningen University
Ferenc Szidarovszky: Corvinus University of Budapest

Journal of Optimization Theory and Applications, 2023, vol. 196, issue 3, No 11, 1056-1092

Abstract: 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: Variational inequality; Nonlinear complementarity problem; Selten–Szidarovszky technique; Pseudo-concavity; Sum-aggregative game; 90C33; 91A10 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02164-w

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