考虑联盟结构Shapley-solidarity值的新刻画  

A new characterization of the Shapley-solidarity value with coalition structure

作　　者：崔泽光 原萌 单而芳[1] CUI Zeguang;YUAN Meng;SHAN Erfang(School of Management,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学管理学院,上海200444

出　　处：《系统工程理论与实践》2024年第4期1219-1228,共10页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(72371151)。

摘　　要：依据参与者之间的亲疏关系可将参与者划分为不同的优先联盟,基于优先联盟结构进行利益分配,Shapley-solidarity值是重要的分配规则.该分配规则首先将各优先联盟视作一个整体,对总收益按照Shapley值进行分配,之后将各优先联盟分得的收益在联盟内部按照solidarity值进行二次分配,该值在体现联盟间公平分配的同时保障了联盟内参与者间的团结性.基于优先联盟结构,本文提出了TU-博弈线性空间的一个新的基.运用这个基,本文证明了Shapley-solidarity值可由有效性、联盟间差边际性、联盟内差边际性和联盟平均无效元性所唯一刻画.For cooperative games with coalition structure,Shapley-solidarity value is an important allocation rule and serves as a two-stage mechanism.In the first stage,players of the same priori union behave like one player and obtain the payoff according to the Shapley value,then in the second stage,the payoff obtained by the priori union is shared among its members according to the solidarity value.The Shapley-solidarity value not only reflects the fairness among priori unions,but also ensures the solidarity of players within the same priori union.In this paper,we propose a new basis of the TU-game space with given coalition structure.Based on the basis,we characterize the Shapley-solidarity value by axioms of efficiency,differential marginality between components,differential marginality within components,and partial average null player property.

关 键 词：合作博弈 公理化刻画 联盟结构 Shapley-solidarity值 差边际性 

分 类 号：F224.32[经济管理—国民经济]