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Solving Monotone Variational Inequalities with Best Response Dynamics

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arxiv 2409.09961 v1 pith:OEYIIYGC submitted 2024-09-16 math.OC cs.SYeess.SY

Yu-Wen Chen , Can Kizilkale , Murat Arcak This is my paper · ORCID
classification math.OCcs.SYeess.SY
keywords bestinequalitiesmethodresponsevariationalconvexdynamicsmonotone
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We leverage best response dynamics to solve monotone variational inequalities on compact and convex sets. Specialization of the method to variational inequalities in game theory recovers convergence results to Nash equilibria when agents select the best response to the current distribution of strategies. We apply the method to generalize population games with additional convex constraints. Furthermore, we explore the robustness of the method by introducing various types of time-varying disturbances.

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