Banzhaf Value for Games with Restriction
This paper belongs to the value theory research for cooperative game. A restriction is a monotonic projection assigning to each coalition of a finite player set a sub-coalition. Those games that are associated with restriction are called games with restriction. In fact, this kind of games considers those cooperative games in which the cooperation among players is constrained. Applying a certain rule of allocation to the games with restriction, we get the imputation value for games with restriction. Banzhaf value for games with restriction is given in this paper and is characterized by method of axiom. Moreover the Multilinear Extension for games with restriction is given, which provides a calculation method of the value. An example of the games with restriction-games with permission structure is given at last. The calculation results show that it is easier to calculate Bazhaf value under the meaning of restriction than in the usual meaning.
cooperative game transferable utility game Banzhaf value restriction multilinear eztension
Yan Wang Xiaohua Bi
College of Mathematics and Computational Science China University of Petroleum (East China) Dongying Fundamental Science Department North China Institute of Aerospace Engineeringline Langfang, P.R.Chin
国际会议
北京
英文
709-713
2009-07-24（万方平台首次上网日期，不代表论文的发表时间）