准许树博弈的权重准许分支公平和准许树限制核
发布时间：2018-08-06 09:21
【摘要】：准许树结构是对具有等级划分的组织结构的抽象.例如公司或团体的成员结构,只有上级准许的情况下下级成员才能执行某些活动.此外,在同一组织中下级成员间的合作往往多于竞争,但这种合作必须得到上级成员的许可才能进行.本文研究了具有准许树结构的博弈(即准许树博弈)的解.首先提出了权重准许分支公平公理,并由此得到了一个与权重系统相关的解,即权重准许值.其次,利用有效性,非本质元性质和权重准许分支公平这三个公理,对给定权重系统解的唯一性进行了完全刻画.最后,证明了当准许树博弈满足锥模性质时由权重系统集确定的解集与它的准许树限制核是等价的.
[Abstract]:A permitted tree structure is an abstraction of a hierarchical organizational structure. For example, the membership structure of a company or group allows a subordinate member to perform certain activities only with the permission of a superior. In addition, cooperation among junior members in the same organization is often greater than competition, but such cooperation must be carried out with the permission of the superior member. In this paper, we study the solution of a game with permitted tree structure (i.e., a permitted tree game). Firstly, the justice axiom of the permitted branch of weights is proposed, and a solution related to the weight system is obtained, that is, the permitted value of weights. Secondly, the uniqueness of the solution of a given weight system is completely characterized by using the three axioms of validity, non-essential element property and the fairness of the permitted branch of weight. Finally, it is proved that the solution set determined by the set of weight systems is equivalent to its restricted kernel of permitted tree when the game of permitted tree satisfies the cone-module property.
【作者单位】： 上海大学管理学院;
【基金】：国家自然科学基金(11571222,11471210)~~
【分类号】：F224.32
，
本文编号：2167279
[Abstract]:A permitted tree structure is an abstraction of a hierarchical organizational structure. For example, the membership structure of a company or group allows a subordinate member to perform certain activities only with the permission of a superior. In addition, cooperation among junior members in the same organization is often greater than competition, but such cooperation must be carried out with the permission of the superior member. In this paper, we study the solution of a game with permitted tree structure (i.e., a permitted tree game). Firstly, the justice axiom of the permitted branch of weights is proposed, and a solution related to the weight system is obtained, that is, the permitted value of weights. Secondly, the uniqueness of the solution of a given weight system is completely characterized by using the three axioms of validity, non-essential element property and the fairness of the permitted branch of weight. Finally, it is proved that the solution set determined by the set of weight systems is equivalent to its restricted kernel of permitted tree when the game of permitted tree satisfies the cone-module property.
【作者单位】： 上海大学管理学院;
【基金】：国家自然科学基金(11571222,11471210)~~
【分类号】：F224.32
，
本文编号：2167279
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