期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1998
卷号：21
DOI：10.1155/S0161171298001100
出版社：Hindawi Publishing Corporation
摘要：In this paper, the concepts of random maximal elements, random equilibria
and random generalized games are described. Secondly by measurable selection theorem, some
existence theorems of random maximal elements for
Lc-majorized correspondences are obtained.
Then we prove existence theorems of random equilibria for non-compact one-person random
games. Finally, a random equilibrium existence theorem for non-compact random generalized
games (resp., random abstract economics) in topological vector spaces and a random equilibrium
existence theorem of non-compact random games in locally convex topological vector spaces
in which the constraint mappings are lower semicontinuous with countable number of players
(resp., agents) are given. Our results are stochastic versions of corresponding results in the
recent literatures.
