Vector games with potential function
Summary: The theory of noncooperative games with potential function was introduced by \textit{D. Monderer} and \textit{L. S. Shapley} [Games Econ. Behav. 14, No. 1, 124--143 (1996; Zbl 0862.90137)]. Such games have interesting properties, among which is the existence of equilibria in pure strategies. The paper by Monderer and Shapley has inspired many game theory researchers. In the present paper, many classes of multiobjective games with potential functions are studied. The notions of generalized, best-reply and Pareto potential games are introduced in a multicriteria setting. Some properties and Pareto equilibria are investigated.
scientific article; zbMATH DE number 6916615
scientific article