| 具有区间联盟值n人对策的Shapley值 |
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| 引用本文： | 谭春桥,张强.具有区间联盟值n人对策的Shapley值[J].应用数学学报,2010,33(2). |
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| 作者姓名： | 谭春桥 张强 |
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| 作者单位： | 1. 中南大学商学院,长沙,410083
2. 北京理工大学管理与经济学院,北京,100081 |
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| 基金项目： | 国家自然科学基金，重点项目和国家自然科学基金 |
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| 摘 要： | 本文提出了一类具有区间联盟收益值n人对策的Shapley值.利用区间数运算有关理论,通过建立公理化体系,对具有区间联盟收益值n人对策的Shapley值进行深入研究,证明了这类n人对策Shapley值存在性与唯一性,并给出了此Shapley值的具体表达式及一些性质.最后通过一个算例检验了其有效性与正确性.
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| 关 键 词： | n人合作对策 区间数联盟值 Shapley值 |
Shapley Value for n-persons Games with Interval Coalition Worth |
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| TAN CHUNQIAO,ZHANG QIANG.Shapley Value for n-persons Games with Interval Coalition Worth[J].Acta Mathematicae Applicatae Sinica,2010,33(2). |
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| Authors: | TAN CHUNQIAO ZHANG QIANG |
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| Abstract: | The Shapley value of n-person cooperative games with interval coalition worth is investigated. In this paper, by means of operation rules of interval numbers, the axiom system is set up. We prove the existence and uniqueness of a solution concept for n-person games with interval coalition worth, which is called the Shapley value. And an explicit formula and some properties of the Shapley value are given. Finally, an illustrative example is provided to verify its feasibility and practicality. |
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| Keywords: | n-persons cooperative games interval number coalition worth Shapley value |
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