| 具有联盟结构博弈的联盟核心的公理化 |
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| 引用本文： | 孙红霞,张强.具有联盟结构博弈的联盟核心的公理化[J].北京理工大学学报,2010,30(10):1256-1260. |
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| 作者姓名： | 孙红霞 张强 |
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| 作者单位： | 北京理工大学,管理与经济学院,北京,100081;北京理工大学,管理与经济学院,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了具有联盟结构博弈的联盟核心的公理化方式及Owen值与联盟核心之间的关系.利用一种缩减博弈,给出了解的一致性、弱反一致性等概念,用个体理性、单人理性、一致性和弱反一致性对联盟核心进行了公理化,给出了解为联盟核心的充分必要条件.结果表明,在该缩减博弈下,联盟核心是唯一确定的,对于具有联盟结构的强凸博弈,Owen值属于联盟核心.
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| 关 键 词： | 一致性 弱反一致性 缩减博弈 |
| 收稿时间： | 2009/5/17 0:00:00 |
Characterization of Coalitional Core in Games with Coalition Structure |
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| SUN Hong-xia and ZHANG Qiang.Characterization of Coalitional Core in Games with Coalition Structure[J].Journal of Beijing Institute of Technology(Natural Science Edition),2010,30(10):1256-1260. |
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| Authors: | SUN Hong-xia and ZHANG Qiang |
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| Institution: | SUN Hong-xia,ZHANG Qiang(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | In the framework of cooperative game with coalition structure,to investigate the axiomatization of coalition core along with the relationship of Owen value and coalition core,the definition of consistency and weak converse consistency is given by reduced game.The coalition core is characterized by means of individually rational,one-person rationality,consistency and weak converse consistency.The necessary and sufficient condition is given while solution is coalition core.The coalition core is unique on cond... |
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| Keywords: | consistency weak converse consistency reduced game |
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