| 一种n人静态博弈纯策略纳什均衡存在性判别法 |
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| 引用本文： | 李正龙.一种n人静态博弈纯策略纳什均衡存在性判别法[J].运筹与管理,2004,13(1):33-37. |
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| 作者姓名： | 李正龙 |
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| 作者单位： | 上海工程技术大学,管理学院,上海,200336 |
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| 摘 要： | 本首先给出了n人静态博弈纯策略纳什均衡存在的充要条件。然后给出n人静态博弈纯策略纳什均衡存在性的一种判别方法。最后在判别纯策略纳什均衡存在的条件下，给出判定该静态博弈存在多少纯策略纳什均衡以及哪些纯策略组合是纯策略纳什均衡(解)的方法。
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| 关 键 词： | n人静态博弈 纯策略纳什均衡 存在性判别法 运筹学 双矩阵 |
| 文章编号： | 1007-3221(2004)01-0033-05 |
| 修稿时间： | 2003年5月1日 |
An Existence Distinguishing Method for Pure Strategy Nash Equilibrium Existence in n-Person Static Games |
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| LI Zheng-long.An Existence Distinguishing Method for Pure Strategy Nash Equilibrium Existence in n-Person Static Games[J].Operations Research and Management Science,2004,13(1):33-37. |
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| Authors: | LI Zheng-long |
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| Abstract: | In this paper, we first give a necessary and sufficient condition of pure strategy Nash equilibrium existence in n-person static games,and then give a distinguishing method for pure strategy Nash equilibrium existence in n-person static games. Under distinguishing pure strategy Nash equilibrium existence, we give the method for distinguishing the number of pure strategy Nash equilibrium in the static games and point out which pure strategy combinations are pure strategy Nash equilibrium. |
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| Keywords: | operations research existence distinguishing method n-person static game pure strategy Nash equilibrium |
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