Shapley值特点及其局限的讨论

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.

Shapley Value and the Limitation of It

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 aUiance.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.