一个新的判定Nash平衡点存在的判定定理  

A New Existence Theorem for Nash Equilibrium Point

作　　者：葛渭高[1] 周风琴[1] 

机构地区：[1]北京理工大学理学院,北京100081

出　　处：《北京理工大学学报》2009年第9期843-846,共4页Transactions of Beijing Institute of Technology

基　　金：国家教育部高等学校博士学科点专项科研基金资助课题(20050007011)

摘　　要：推广了Fan-Glicksberg不动点定理,引入弱拟凹函数的定义,用弱拟凹函数代替拟凹函数,弱化Nash平衡点存在的条件,得出一个新的判定定理,并举例说明了它的实用性.As a generalization of Fan-Glicksberg fixed point theorem, a new existence theorem of fixed point theorem for set-valued mapping is proved. And then, by introducing the concept of weakly quasiconcave function, and replacing quasiconcave function by weakly quasiconcave function, a new existence theorem of Nash equilibrium point for game theory is deduced. Lastly an example is given to prove that the new theory is more useful.

关 键 词：拟凹函数 弱拟凹函数 Fan-Glicksberg不动点定理 NASH平衡点 

分 类 号：O225[理学—运筹学与控制论]