伪连续条件下不确定性非合作博弈Nash-Slater均衡的存在性

Existence of Nash-Slater equilibrium of pseudocontinuous non-cooperative games under uncertainty

从两个角度研究了伪连续条件下不确定性n人非合作博弈的Nash-Slater(NS)均衡的存在性.在不确定博弈中,分别利用伪连续函数的最大值定理以及伪连续下的Ky Fan不等式,得到了两个伪连续支付下的NS均衡存在性定理.

The existence of the Nash-Slater （NS） equilibrium of pseudo-continuous n-person non-cooperative games under uncertainty is considered in two cases. Two existence theorems of NS equilibrium with pseudo-continuous payoffs are obtained by applying the pseudo-continuous maximum theorem and the pseudo-continuous Ky Fan inequality, respectively.