本质博弈与Nash平衡点集的本质连通区  

Essential games and essential components of the set of Nash equilibria

作　　者：俞建[1] 

机构地区：[1]贵州大学数学系,贵阳550025

出　　处：《系统工程理论与实践》2010年第10期1798-1802,共5页Systems Engineering-Theory & Practice

基　　金：贵州省科学技术基金

摘　　要：1962年吴文俊和江嘉禾对n人非合作有限博弈引进了本质平衡点和本质博弈的概念,并证明了每一个有限博弈都能够被本质博弈任意逼近.1963年江嘉禾对n人非合作有限博弈引进了平衡点集本质连通区的概念,并证明了每一个有限博弈都存在至少一个平衡点集的本质连通区.这些是中国数学家对博弈论的重要贡献.In 1962,Wu and Jiang introduced the notion of essential equilibrium points and essential games for n-person noncooperative finite games and proved that every finite game can be closely approximated by an essential game.And in 1963,Jiang introduced the notion of essential components of the set of equilibrium points for n-person noncooperative finite games and proved that there exists at least one essential component of the set of equilibrium points for every finite game.These are the important contributes of Chinese mathematicans for game theory.

关 键 词：纳什平衡点 本质博弈 本质连通区 

分 类 号：U691[交通运输工程—港口、海岸及近海工程]