带层次结构效用可转移合作对策的collective值

发布时间：2019-04-22 13:36

【摘要】：层次结构是比联盟结构更一般化的结盟限制形式.文章给出了带层次结构效用可转移合作对策collective值的两种定义.第一种类似于带层次结构效用可转移合作对策的ζ值,从多步分配的角度定义了collective值;第二种类似于带图结构效用可转移合作对策的Myerson值,从交流限制的角度定义了collective值.文中证明了这两种定义是等价的,并给出了collective值的一个公理化刻画.研究结果丰富了带层次结构效用可转移合作对策的解概念,可为研究其它带结盟限制效用可转移合作对策的值函数提供借鉴.
[Abstract]:Hierarchical structure is a more general form of alliance restriction than alliance structure. In this paper, two definitions of collectivity value for hierarchical utility transferable cooperative game are given. The first is similar to the Zeta value with hierarchical utility transferable cooperative game, and the collectivity value is defined from the point of view of multi-step allocation, and the second is similar to the Myerson value of the transitive cooperative game with graph structure, which defines collectivity value from the point of view of communication restriction. In this paper, it is proved that the two definitions are equivalent, and an axiomatic characterization of collectivity value is given. The results enrich the concept of solution of hierarchical utility transferable cooperative game, which can be used for reference to study the value function of other limited utility transferable cooperative games with alliance.
【作者单位】：福州大学经济与管理学院;
【基金】：国家自然科学基金(71231003,71572040,71561008) 福建省社会科学规划项目(FJ2015C230)资助课题
【分类号】：O225

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