AN EXISTENCE THEOREM FOR MAXIMAL ELEMENTS AND ITS APPLICATIONS  

作　　者：Hou Jicheng He Wei 

机构地区：[1]Department of Mathematics, Beijing Information Technology Institute, Beijing 100101, China [2]Department of Mathematics, Nanjing Normal University, Nanjing 210097, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2007年第2期235-244,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NNSF of China(10571081);the Natural Science Foundation of Beijing Education Department(KM200710772007).

摘　　要：An existence theorem of maximal elements for an L＊-majorized correspondence defined on a non-paracompact H-space is established. As applications of the result, an equilibrium existence theorem for a non-paracompact generalized game in H-spaces with infinitely many players and with L＊-majorized correspondences is given.An existence theorem of maximal elements for an L＊-majorized correspondence defined on a non-paracompact H-space is established. As applications of the result, an equilibrium existence theorem for a non-paracompact generalized game in H-spaces with infinitely many players and with L＊-majorized correspondences is given.

关 键 词：maximal element generalized game EQUILIBRIUM H-space L＊-majorized correspondence 

分 类 号：O177[理学—数学]