优先联盟间有权限结构限制的合作对策的联盟限制Owen值

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英文篇名：Coalition-restricted Owen Value for Games with permission Structure Restrictions Among Priori Unions 作者：王利明 英文作者：WANG Li-ming;School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics; 关键词：合作对策 ; 联盟结构 ; 权限结构 ; Owen值 英文关键词：cooperative game;;coalition structure;;permission structure;;Owen value 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：内蒙古财经大学统计与数学学院; 出版日期：2019-06-08 出版单位：数学的实践与认识 年：2019 期：v.49 基金：国家自然科学基金(71771025,71561022,71661024);; 内蒙古自然科学基金(2017MS0715) 语种：中文; 页：SSJS201911011 页数：8 CN：11 ISSN：11-2018/O1 分类号：103-110

摘要

考虑局中人结成优先联盟参与合作,并且优先联盟之间具有权限结构限制的合作对策,利用Owen值的两阶段分配思路并考虑到优先联盟之间权限结构对合作的限制,定义这类合作对策一个解,证明了解的公理化结论,并验证了公理化条件的独立性.最后给出了算例分析,说明解在合作收益分配问题的应用.
        Cooperative games in which the players form priori unions to participate in the cooperation, and there exist permission structure restrictions among the priori unions are considered. A value for such games is defined by using the two-step distribution idea of the Owen value and taking into account the permission structure restrictions on cooperation among the priori unions. The axiomatization conclusion is proved, and the independence of the axiomatization conditions is verified. Finally, a numerical example is given to illustrate the application of the solution to the problem of cooperative revenue distribution.

引文

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