| 矩阵对策的公平性研究 |
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| 引用本文： | 姜殿玉,刘广智. 矩阵对策的公平性研究[J]. 运筹学学报, 2003, 7(4): 12-21 |
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| 作者姓名： | 姜殿玉 刘广智 |
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| 作者单位： | 1. 淮海工学院数理科学系,连云港,222005
2. 大连大学信息工程学院,大连,116622 |
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| 基金项目： | National Natural Science Foundation (No.78970025). |
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| 摘 要： | 众所周知，零和二人有限对策也称为矩阵对策。设做一个矩阵对策的两个局中人都希望对策结果尽可能公平。当两个局中人使用对策解中的策略进行对策时，如果对策结果最公平，那么这个对策解称为最优的。本文证明了最优对策解集的一些性质，然后给出矩阵对策公平度的概念并证明了它的一些有趣的性质。
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| 关 键 词： | 矩阵对策 公平性 对策解 公平度 |
A Study on Equitablity of a Matrix Game |
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| DIANYU JIANG GUANGZHI LIU Depautment of Mathematics and Physics,Huaihai Institute of Technology,Lianyungang ,China, College of Information Engineering,Dalian University,Dalian ,China. A Study on Equitablity of a Matrix Game[J]. OR Transactions, 2003, 7(4): 12-21 |
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| Authors: | DIANYU JIANG GUANGZHI LIU Depautment of Mathematics Physics Huaihai Institute of Technology Lianyungang China College of Information Engineering Dalian University Dalian China |
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| Affiliation: | DIANYU JIANG GUANGZHI LIU Depautment of Mathematics and Physics,Huaihai Institute of Technology,Lianyungang 222005,China, College of Information Engineering,Dalian University,Dalian 116622,China, |
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| Abstract: | It is common knowledge that a zero sum two-person finite game is also called matrix game. Suppose two players who play a matrix game hope that the game result is as equitable as possible. A game solution is called optimal if the game result is most equitable when two players use the strategies in the game solution. In this paper, we prove some properties of a set of optimal game solutions. And we also give the concept of equitable degree of a matrix game and prove some interesting results about it. |
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| Keywords: | OR matrix game optimal game solution equitable degree |
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