摘要
本文引入了集值映射的Nash平衡点的概念,它以通常的Nash平衡点及Loose Nash平衡点为特例,并在紧和非紧的假设下,得到集值映射的Nash平衡点的存在定理,其中在非紧的情况下使用escaping序列的定义。
In this paper, we introduce the concept of Nash equilibrium for set-valued mappings which includes usual Nash equilibrium and Loose Nash equilibrium as special cases, and we obtain existence theorems of Nash equilibria for set-valued mappings both under compact and non-compact assumptions. We use the concept of escaping sequence in non-compact case.
出处
《运筹学学报》
CSCD
北大核心
2003年第2期77-83,共7页
Operations Research Transactions
基金
广东省自然科学基金(022001)
广东省教育厅基金(202075)
广东省"千百十"基金(02052)共同资助
