Existence of equilibrium for multiobjective games in abstract convex spaces

2013/04/01 by Monica Patriche, Patriche, Monica
Decision Sciences · Economics, Econometrics and Finance · #47H10 #55M20 #91B50 #Economic theories and models #FOS: Mathematics #Game Theory and Applications #Game Theory and Voting Systems #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1304.0338

openalex publication_date 2013/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we use the minimax inequalities obtained by S. Park (2011) to prove the existence of weighted Nash equilibria and Pareto Nash equilibria of a multiobjective game defined on abstract convex spaces.

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