| 具有联盟结构的限制合作博弈的限制Owen值 |
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| 引用本文： | 孙红霞,张强.具有联盟结构的限制合作博弈的限制Owen值[J].系统工程理论与实践,2013,33(4):981-987. |
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| 作者姓名： | 孙红霞 张强 |
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| 作者单位： | 1. 北京理工大学 管理与经济学院, 北京 100081;
2. 北京科学学研究中心 北京市科技政策模拟与决策支撑重点实验室,北京 100089 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 具有联盟结构的合作博弈中, 针对任意优先联盟不一定形成可行联盟的情况, 通过引入一种格结构, 研究了各优先联盟以优先约束形式进行合作时的收益分配问题. 首先, 将经典的Owen值满足的五个性质进行推广, 并通过两个阶段的分配方法给出了限制Owen值的定义, 说明限制Owen值满足可加性、有效性、联盟内部对称性、哑元性等性质. 最后通过算例, 对该模型的可行性进行分析.
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| 关 键 词： | 合作博弈 联盟结构 Owen值 优先约束 |
| 收稿时间： | 2010-12-13 |
Restricted Owen value in restricted games with coalition structure |
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| SUN Hong-xia
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ZHANG Qiang.Restricted Owen value in restricted games with coalition structure[J].Systems Engineering —Theory & Practice,2013,33(4):981-987. |
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| Authors: | SUN Hong-xia ZHANG Qiang |
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| Institution: | 1. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;
2. Beijing Key Laboratory of Science and Technology Simulation and Decision Support, Beijing Research Center for Science of Science, Beijing 100089, China |
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| Abstract: | In the framework of cooperative games with coalition structure, it studied the problem of profit allocation by introducing lattice structure based on the situation that all the coalitions are not feasible. First, it generalized five properties which Owen value satisfies and then gave the definition of restricted Owen value by two step allocation. It proves that Owen value satisfies some properties, such as additivity, efficiency, symmetric with coalitions, dummy player property and so on. Finally, it gave an example to verify the allocation method in the paper. |
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| Keywords: | cooperative game coalition structure Owen value precedence constraint |
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