Monotonic Solution of Cooperative Games on Matroids

摘要：

In this paper, we introduce the solution concept called Solidarity value for games on matroids, meant to be a generalization of the known Solidarity value for classical cooperative games. The axiomatic approach taken here involves the strong monotonicity, substitution axioms and a probabilistic version of the efficiency. As a result of this axiomatic approach, two explicit formulas for the probabilistic Solidarity value of games on matroids are presented and discussed.

关键词： Cooperative Games Matroid Solidarity Value Strong Monotonicity

作者: Hua He Hao Sun

作者单位: Dept. Applied Mathematics, Northwestern Polytechnical University, Xian, Shannxi, P. R. China 710072

会议类型: 国际会议

会议名称: 第二届中国对策论及其应用国际学术会议(The Second International Conference on Game Theory and Applications)

会议地点: 青岛

会议语种:英文

页码: 61-65

在线出版日期: 2007-09-17（万方平台首次上网日期，不代表论文的发表时间）