A NEW METHOD TO CONSTRUCT SOLUTION CONCEPTS FOR COOPERATIVE GAMES WITH COALITION STRUCTURE BASED ON MARGINAL CONTRIBUTIONS

被引：0

作者：

Gimenez, Pradales Jose Miguel ^{[1
]}

机构：

[1] Tech Univ Catalonia, Dept Appl Math 3, Engn Sch Manresa, E-08242 Manresa, Spain

来源：

APLIMAT 2007 - 6TH INTERNATIONAL CONFERENCE, PT I | 2007年

关键词：

Cooperative Game; Solution; Semivalue; Coalition Structure; Multilinear Extension;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The semivalues are solution concepts for cooperative games that assign to each player a weighted sum of his/her marginal contributions to the coalitions, where the weights only depend on the coalition size. The solutions introduced here are modifications of the semivalues when we consider a priori coalition blocks in the player set. A first semivalue is used among the coalition blocks and a second semivalue arts within each block. For all these solutions, we offer a computation procedure based on suitable modifications of the multilinear extension of the game and a product of matrices.

引用

页码：161 / 169

页数：9