有限制对策的Banzhaf值  

Banzhaf Value for Games with Restriction

作　　者：王艳[1] 孙康[2] 张盛开[2] 

机构地区：[1]大连海事大学环境科学与工程学院,辽宁大连116026 [2]大连轻工业学院信息科学与工程学院

出　　处：《系统工程》2005年第3期13-17,共5页Systems Engineering

基　　金：国家自然科学基金资助项目(79870025)

摘　　要：对策的"限制"是指有限局中人集合上的每一个结盟到其子结盟的单调映射。带有"限制"的对策称为有限制对策。实际上这种对策考虑的是合作对策中局中人间的合作受到某种约束的情形。把某种分配原则应用于有限制对策上,得到有限制对策的分配值。在效用可转移合作对策(即TU对策)类上把Banzhaf值应用于有限制对策,得到有限制对策的Banzhaf值,同时给出有限制对策的Banzhaf值的公理化特征,并举例说明研究有限制对策的意义。A ″restriction″ is a monotonic projection assigning to each coalition of a finite player set a sub-coalition. Those games associated with ″restriction″ are called games with restriction. In fact, this kind of games consider those (cooperative) games in which the cooperation among players is constrained. Applying some rule of allocation to the games with restriction, we get the imputation value for games with restriction. This paper gives the Banzhaf value for games with restriction by applying the Banzhaf value to the games with restriction for transferable utility games (namely, TU games). The axioms that characterize the Banzhaf value for games with restriction are proposed and an (example) for games with restriction is given.

关 键 词：合作对策 效用可转移对策 Banzhaf值 限制 有限制对策 

分 类 号：O225[理学—运筹学与控制论]