| 大博弈中Nash均衡的存在性 |
| |
| 引用本文： | 杨哲,蒲勇健.大博弈中Nash均衡的存在性[J].系统科学与数学,2010,30(12). |
| |
| 作者姓名： | 杨哲 蒲勇健 |
| |
| 作者单位： | 重庆大学经济与工商管理学院;重庆大学发展研究中心; |
| |
| 基金项目： | 国家社会科学基金，重庆大学研究生科技创新基金 |
| |
| 摘 要： | 研究了具有任意多个局中人的非合作博弈(大博弈)中Nash均衡的存在性.将1969年Ma的截口定理推广得到新的截口定理.用这个新的截口定理进一步证明了:1)大博弈中Nash均衡的存在性;2)纯策略集为紧度量空间而且支付函数为连续函数时,连续大博弈中混合策略Nash均衡的存在性.并且存在性定理推出了2010年Salonen的结果,即此研究结果较Salonen的结论更具普遍意义.
|
| 关 键 词： | 大博弈 连续大博弈 截口定理 Nash均衡 存在性 |
ON THE EXISTENCE OF NASH EQUILIBRIUM POINTS IN LARGE GAMES |
| |
| YANG Zhe,PU Yongjian.ON THE EXISTENCE OF NASH EQUILIBRIUM POINTS IN LARGE GAMES[J].Journal of Systems Science and Mathematical Sciences,2010,30(12). |
| |
| Authors: | YANG Zhe PU Yongjian |
| |
| Institution: | YANG Zhe PU Yongjian College of Economics and Business Administration,Chong Qing University,Chongqing 400030 |
| |
| Abstract: | In this paper,noncooperative game with an infinite number of players is considered. By generalizing section theorem,we show that 1) there exists one Nash equilibrium point in large games at least;2) there exists a mixed strategy Nash equilibrium point in continuous large game such that pure strategy sets are nonempty compact metric space and payoff functions are continuous.The results can imply the existence theorem of Salonen in 2010. |
| |
| Keywords: | Large games continuous large game Nash equilibrium points section theorem existence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
