关于局中人两个子集的部分对称博弈

On Partially Symmetric Games with Respect to Two Subsets of Players

研究了关于局中人两个子集的部分对称博弈。通过基于相邻对换的矩阵半张量积方法,首先得到了关于局中人两个子集的部分对称博弈的等价条件。利用该等价条件,计算出了该部分对称博弈子空间的维数并且构造出了它的一组基,进而导出了关于该部分对称博弈的方程数目最少的判别方程。

This paper investigates partially symmetric games with respect to two subsets of players.Using the semi-tensor product method based on adjacent transpositions,the equivalent conditions of partially symmetric games with respect to two subsets of players are obtained.According to the obtained equivalent conditions,the dimension of the partially symmetric game subspace with respect to two subsets of players is calculated,and a basis of the partially symmetric game subspace is constructed.Furthermore,the discriminant equations with the minimum number for the partially symmetric game with respect to two subsets of players are derived.