本质博弈与Nash平衡点集的本质连通区

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.

Essential games and essential components of the set of Nash equilibria

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.