1. Aggregative Variational Inequalities.
- Author
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von Mouche, Peter Hubert Mathieu and Szidarovszky, Ferenc
- Subjects
- *
NASH equilibrium , *COMPLEMENTARITY constraints (Mathematics) , *OLIGOPOLIES , *NONLINEAR equations - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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