The Shapley value for cooperative games with restricted worths

被引：4
|
作者：
Sun, Panfei [1 ]
Hou, Dongshuang [1 ]
Sun, Hao [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Math & Stat, 127 Youyixilu, Xian, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 495卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Cooperative game; Restricted worth; Coalition structure; The Shapley value; Characterization; BANZHAF VALUE; COMMUNICATION; GRAPHS;
D O I：
10.1016/j.jmaa.2020.124762
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the cooperative games with restricted worths, which is based on the coalition structure. The model describes many cooperative situations in modern society. The Shapley value is investigated under this model and we reveal the relations with other coalitional values. Furthermore, two new axioms are proposed to characterize the Shapley value, namely the coalitional-individual marginality and the coalitional-individual symmetry. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数：14
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