| 极值问题与一类具有无限纯策略集的最优混合策略 |
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| 引用本文： | 曹志平,曹广福. 极值问题与一类具有无限纯策略集的最优混合策略[J]. 应用泛函分析学报, 2002, 4(1): 86-92 |
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| 作者姓名： | 曹志平 曹广福 |
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| 作者单位： | 四川大学数学学院,四川成都,610064 |
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| 摘 要： | 证明了局部凸线性拓扑空间上实值连续泛函的极大极小定理与极大定理，并由此证明了一类具有无限纯策略集的二人对策中最优混合策略的存在性。该证明对经典情形也适用，而且比传统的证明要简洁。
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| 关 键 词： | 不动点 纯策略 混合策略 |
| 文章编号： | 1009-1327(2002)01-0086-07 |
| 修稿时间： | 2001-08-08 |
Max-Min Theorems and Optimal Mixed Strategies with an Infinite Pure Strategy Set |
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| CAO Zhi|ping, CAO Guang|fu. Max-Min Theorems and Optimal Mixed Strategies with an Infinite Pure Strategy Set[J]. Acta Analysis Functionalis Applicata, 2002, 4(1): 86-92 |
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| Authors: | CAO Zhi|ping CAO Guang|fu |
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| Affiliation: | CAO Zhi|ping, CAO Guang|fu Department of Mathematics,Sichuan University,Chengdu 610064,China |
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| Abstract: | In the present paper, a max|min theorem and a max theorem are proved on local convex topological linear spaces, as an application, it is obtained that there exists optimal mixed strategies in a two|person game with an infinite pure strategy set. Our proofs are suited to the classical cases, and terser than those of the classical cases. |
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| Keywords: | fixed piont pure strategy mixed strategy |
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