NASH EQUILIBRIUM IN THE DYADIC PLAY IN MIXT STRATEGIES

Maria CÎRNAŢ Universitatea de Stat din Moldova

Abstract

In this study it’s investigated the determination of Nash equilibrium for the dyadic play with mixt strategies through studying the properties and structure of Nash equilibrium and elaboration of an algorithm of symbolic computation based on the method of intersection of application graphics of optimal answer[2, 3]. The basic purpose of this study is to simplify the essential algorithm in which base is made the program of calculation in Wolfram Mathematic 9 system, which comes as an improvement of that which was published in 2007 on Wolfram Demonstration Project [3]. The principal result keeps of the essential reduction of investigated cases to 38. Keywords: strategic play in mixt strategies, dyatic play, Nash equilibrium, lot of Nash equilibriums, application graphics of optimal answer, intersection of application graphics of optimal answer.