Vector Games with Potential Function

Abstract

Abstract:The theory of non cooperative games with potential function was introduced by Monderer and Shapley in 1996. 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.

Multiobjective Games for Detecting Abnormally Expressed Genes

“…The importance of microarray games for medical problems is emphasized in the papers [3,4,9] For more information about multiobjective games and their solutions you can see: regarding Vector Optimization [10], and regarding many interesting results for multicriteria games [11], the first step about multicriteria exact potential games and approximate solutions [12], the study of multicriteria fuzzy games [13], multicriteria partial cooperative games and applications to environmental models [14], about a new concept of approximate solutions with improvement sets [15], for multicriteria ordinal potential games and application to peering games and telecommunication models [16], and some multicriteria games with potential function [17].…”