GAMES THEORY AND SOCIAL RELATIONS

Victoria LOZAN Universitatea de Stat din Moldova

Abstract

Two-criterion game „Battle of the Sexes” [4] is examined. This type of game can be seen as a baseline scenario for most relationships between two persons. Each player has two gain functions: the first function illustrates the desire to spend their time together and the second function illustrates the desire to satisfy own preferences. The Pareto-Nash and Pareto-Stackelberg equilibrium sets are determined by applying the method of intersection of graphs of efficient reactions mappings and the utility function optimization, corresponding to the first player, on the graph of efficient reactions mappings of the second player [3,2]. Keywords: Pareto-Nash solution, Pareto-Stackelberg solution, efficient reactions mapping, graphs intersection.