Aggregative Variational Inequalities

Peter Hubert Mathieu von Mouche*, Ferenc Szidarovszky

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)1056-1092
Number of pages37
JournalJournal of Optimization Theory and Applications
Issue number3
Publication statusPublished - 13 Mar 2023


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


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