A Coalitional Value for Multichoice Games with a Coalition Structure

被引:0
|
作者
Meng, Fanyong [1 ]
Zhang, Qiang [2 ]
机构
[1] Qingdao Technol Univ, Sch Management, Qingdao 266520, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
来源
关键词
multichoice game; coalition structure; Shapley value; core; SHAPLEY VALUE; COOPERATIVE GAMES; OWEN VALUE; CONSTRAINTS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper a new model of multichoice games with a coalition structure is proposed, which can be seen as an extension of the Owen coalition structure. A coalitional value on the given model is defined, which can be seen as an extension of the Owen value. Three axiomatic systems are studied. The first one is enlightened by Owen's characterization for the Owen value and Faigle and Kern's characterization for the Shapley value on games under precedence constraints. The second one is inspired by Bilbao's characterization for the Shapley value on games on convex geometries. The last one is an extension of Young's characterization for the Shapley value on traditional games. Furthermore, the relationship between the given coalitional value and the core of multichoice games with a coalition structure is discussed.
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页码:193 / 203
页数:11
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