Polynomial Method of Finding All Solutions for the Non-Cooperative Two-person Mixed Games

Abstract

In this paper, the polynomial method of finding all solutions for the non-cooperative two-person mixed games is first proposed, where some specific properties of the non-cooperative two-person mixed games are given, at the same time, the non-cooperative two-person mixed games are changed to the particular polynomial equations using these properties. And then, it can be solved by using simplex method. Two examples are demonstrated by using the proposed method to show effectiveness. As a result, it indicates that the proposed method is very useful.