集合对策的定量边缘解(英文)  

Quantitative Marginalistic Values for Set Games

作　　者：孙浩[1] 徐根玖[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《运筹学学报》2006年第4期1-8,共8页Operations Research Transactions

基　　金：The project-sponsored by SRF for ROCS, SEM and by NNSF of China (No. 70571065).

摘　　要：本文提出了集合对策的两类定量边缘解,并给出了两类解的公理化特征:有效性、对称性、哑元性、Banzhaf总和性和传递性．这两类解分别与TU-对策的Banzhaf权力指数和Shapley-Shubik权力指数类似．同时,本文将Shapley解与Banzzhaf解扩展到k-维欧氏空间．Two types of quantitative marginalistic values for set games, which are similar to power indexes for simple games, are characterized by some standard properties. And the Shapley value and the Banzhaf value for TU-games are extended in k-dimensional Euclidean space.

关 键 词：运筹学 集合对策 公理化特征 定量边缘解 

分 类 号：O144[理学—数学]