| 基于灰混合策略的灰矩阵博弈模型的解 |
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| 引用本文： | 陶勇,刘思峰,方志耕.基于灰混合策略的灰矩阵博弈模型的解[J].南京航空航天大学学报,2004,36(4):524-527. |
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| 作者姓名： | 陶勇 刘思峰 方志耕 |
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| 作者单位： | 南京航空航天大学经济与管理学院,南京,210016 |
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| 基金项目： | 国家博士学科点科研基金 ( 2 0 0 2 0 2 870 0 1 )资助项目，江苏省研究生创新计划资助项目，南京航空航天大学特聘教授基金 ( 1 0 0 9-2 60 81 2 )资助项目 |
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| 摘 要： | 最大最小灰博弈值与灰混合策略的灰鞍点问题是基于灰混合策略的灰矩阵博弈的关键问题，本文运用灰色系统理论证明了最大最小灰博弈值定理，从而奠定了灰矩阵博弈的理论基础。在此基础上，提出了灰混合策略的灰鞍点的概念，并且证明了灰鞍点存在的充分必要条件和灰混合最优策略的可交换性定理。
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| 关 键 词： | 灰混合策略 灰矩阵博弈模型 灰鞍点 解 |
| 文章编号： | 1005-2615(2004)04-0524-04 |
| 修稿时间： | 2003年11月5日 |
Solution of Grey Matrix Game Based on Grey Mixed Strategy |
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| TAO Yong,LIU Si-feng,FANG Zhi-geng.Solution of Grey Matrix Game Based on Grey Mixed Strategy[J].Journal of Nanjing University of Aeronautics & Astronautics,2004,36(4):524-527. |
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| Authors: | TAO Yong LIU Si-feng FANG Zhi-geng |
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| Abstract: | How to solve the problems of maximum-minimum value of grey matrix game and the grey saddle point of grey mixed strategy in the grey matrix game is the key problem of grey matrix game based on the grey mixed strategy. Applying the grey system theory, the maximum-minimum value theorem of grey matrix game is proved, which lays a theory foundation of the grey matrix game. Then, the conception of the grey saddle point of the grey mixed strategy is presented, and the sufficient and necessary condition of the existence on grey saddle point in the grey matrix game, and an interchangeable theorem of the grey mixed optimum strategy are proved. |
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| Keywords: | maximum-minimum value of grey matrix game grey saddle point grey mixed optima stra-tegy |
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