运用Mathematica软件包求解2人矩阵对策

Solving 2-person matrix game by Mathematica

因为在对策论中3阶以上2人零和矩阵对策的人工求解是比较困难的,所以给出了通过线性规划和对偶线性规划求解2人零和矩阵对策的解的M athem atica程序,以及2人非零和2×2矩阵对策的解的M athem atica程序.

It is difficult for people to solve a 2-person zero-sum matrix game with the order m×n （m≥3,n≥3）. So this paper gives the details on how to solvea 2-person zerosum matrix game with the order m×n, where m or n is a positive integer number,and how to solve a 2-person nonzero-sum matrix game with the order 2 × 2 in the software Mathematica.