| 带有灰色约束的二人有限零和博弈研究 |
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| 引用本文： | 罗党,吴顺祥.带有灰色约束的二人有限零和博弈研究[J].厦门大学学报(自然科学版),2006,45(1):29-32. |
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| 作者姓名： | 罗党 吴顺祥 |
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| 作者单位： | 1. 华北水利水电学院,河南,郑州,450011
2. 厦门大学自动化系,福建,厦门,361005 |
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| 基金项目： | 河南省科技攻关项目，华北水利水电学院校科研和教改项目，面向21世纪教育振兴行动计划(985计划) |
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| 摘 要： | 基于灰色系统理论的思想提出了二人有限零和灰色博弈的概念,利用分析技巧,建立了博弈平衡解优序关系的确定方法.该方法与传统方法的不同之处在于,在灰色博弈模型中,考虑了博弈双方在选择自身的策略时受到了某个灰色不确定性约束.灰色博弈模型能更加客观地描述实际决策问题的本质属性,比传统的博弈模型具有更好的柔性.
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| 关 键 词： | 灰色系统 区间灰数 博弈 平衡解 |
| 文章编号： | 0438-0479(2006)01-0029-04 |
| 收稿时间： | 04 6 2005 12:00AM |
| 修稿时间： | 2005年4月6日 |
Research on Two-person Zero-sum in Finite Games with Grey Uncertain Restriction |
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| LUO Dang,WU Shun-xiang.Research on Two-person Zero-sum in Finite Games with Grey Uncertain Restriction[J].Journal of Xiamen University(Natural Science),2006,45(1):29-32. |
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| Authors: | LUO Dang WU Shun-xiang |
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| Institution: | 1. North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China; 2. Dept. of Automation, Xiamen University, Xiamen 361005, China |
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| Abstract: | Based on the grey system, two-person zero-sum in finite grey games is presented and the method to rank the alter-natives in equilibrium points is established by the means of analytical skill. The method is different from the traditional method in that a grey uncertain restriction is considered when both sides of games select their own strategies in grey game model. The grey game model can objectively represent the nature of real decision-making, with better flexibility than traditional one. |
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| Keywords: | grey system interval grey numbers games equilibrium point |
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