机构地区: 上海大学理学院,上海200444 上海外国语大学嘉定外国语学校,上海201805
出 处: 《应用数学与计算数学学报》 2017年第3期327-333,共7页
摘 要: 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.