| 二人常和博弈中的鞍点与纳什均衡的一致性 |
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| 引用本文： | 冯素芬,张莉. 二人常和博弈中的鞍点与纳什均衡的一致性[J]. 北京工业职业技术学院学报, 2007, 6(1): 38-43 |
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| 作者姓名： | 冯素芬 张莉 |
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| 作者单位： | 北京工业职业技术学院,北京 100042;北京工业职业技术学院,北京 100042 |
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| 摘 要： | 讨论了二人常和博弈中的占优策略、最优策略与稳妥策略的关系,比较最小最大原理和最大最小法分别选取的支付大小,通过例子说明稳妥策略组合不一定是纳什均衡;提出鞍点与纳什均衡的一致性,并证明了相应的定理.此外,类似地我们证明了鞍点的无差异性与可换性.
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| 关 键 词： | 稳妥策略 最小最大原理 鞍点 纳什均衡 |
| 文章编号： | 1671-6558（2007）01-38-06 |
| 收稿时间： | 2006-11-23 |
Consistency of Saddle Point and Nash Equilibrium in Two-Person Constant-Sum Game |
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| Feng Sufen,Zhang Li. Consistency of Saddle Point and Nash Equilibrium in Two-Person Constant-Sum Game[J]. Journal of beijing vocational & technical institute of industry, 2007, 6(1): 38-43 |
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| Authors: | Feng Sufen Zhang Li |
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| Abstract: | This paper will discuss the relationship of dominant, optimal and reliable strategy, compare the magnitude of payoffs selected respectively by minimax principle and maximin method in two- person constant - sum game, and explain that a profile of reliable strategies is not surely the Nash equilibrium through some examples. It will present consistency of saddle point with Nash equilibrium , and prove the corresponding theorems. In addition, we will prove similarlv the indifference and exchangeability about saddle points. |
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| Keywords: | reliable strategy minimax principle saddle point Hash equilibrium |
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