对"田忌赛马"类博弈的探讨

首先根据“田忌赛马”的规则给出n重赛马博弈、一轮n重赛马博弈、对换、列单换和行单换的定义及其性质;然后应用这些性质推导出n重赛马博弈所对应的策略式博弈的支付行（列）之和相等、n重混合赛马策略的一个纳什均衡;最后提出了全能谋士或智者、谋士、n重赛马效应函数等概念,根据n重赛马效应函数提出存在全能谋士或智者的局中人的最优策略定理。

The Groping of the Kind of "Tianji Horse Game"

At first a series of definitions such as n time horse game etc and their properties are given which are based on the regulations of "Tianji Horse Game";and then by applying these propositions the sum of rows of the strategic form games' pay off matrix is equal,and also a Nash equilibrium of n times mixed horse games is found;at the end,the conceptions of almighty brainman,brainman and n time horse utility functions are advanced,based on which the best strategy of pothunter who has almighty brainman is worked.