Shapley值特点及其局限的讨论  

Shapley Value and the Limitation of It

作　　者：徐秋爽[1] 胡石清[1] 程细玉[1] 

机构地区：[1]华侨大学经济与金融学院,福建泉州362021

出　　处：《数学的实践与认识》2013年第4期44-52,共9页Mathematics in Practice and Theory

基　　金：华侨大学高层次人才科研启动项目(12BS134;项目名称:社会理性与包容性增长)

摘　　要：Shapley值的特点——参与人之间的平等性,可以通过构造联盟、联盟内外平等性和联盟中参与人贡献平等性这三个角度进行体现.然而,实践案例的结果分析显示Shapley值不能将所有联盟影响因子显示出来,这一局限性的根源在于联盟成员的非平等性.针对局限性提出了引入权重的Shapley值计算方法.The equality among participants is the characteristic of the Shapley value, which can be reflected from three angles, that is the building of alliance, the equality inside and outside the alliance and the equality of paticipants＇ status in the alliance.However, the results of the analysis of practice case showed that Shapley value can not reflect all the impact factors of the alliance. The source of this limitation is the inequality of the menbers of the alliance. On account of this limitation,this paper put a calculating method of the weighted Shapley value.

关 键 词：改进Shapley值 非平等性 

分 类 号：O225[理学—运筹学与控制论]