matrixexpressionofshapleyvaluesanditsapplicationtodistributedresourceallocation

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	matrixexpressionofshapleyvaluesanditsapplicationtodistributedresourceallocation
	Yuanhua WANG 1; Daizhan CHENG2 ; Xiyu LIU 1
	2019
发表期刊	中国科学信息科学英文版
ISSN	1674-733X
卷号	062 期号:002 页码:42
摘要	The symmetric and weighted Shapley values for cooperative n-person games are studied.Using the semi-tensor product of matrices,it is first shown that a characteristic function can be expressed as a pseudo-Boolean function.Then,two simple matrix formulas are obtained for calculating the symmetric and weighted Shapley values.Finally,using these new formulas,a design technique for the agents’payoff functions in distributed resource allocation problems is proposed.It is possible to design payoff functions with the weighted Shapley value by the nonsymmetric weights defined on the players,thus ensuring that the optimal allocation is a pure Nash equilibrium.Practical examples are presented to illustrate the theoretical results.
语种	英语
资助项目	[National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38046
专题	系统科学研究所
作者单位	1.School of Management Science and Engineering,Shandong Normal University 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Yuanhua WANG,Daizhan CHENG,Xiyu LIU. matrixexpressionofshapleyvaluesanditsapplicationtodistributedresourceallocation[J]. 中国科学信息科学英文版,2019,062(002):42.
APA	Yuanhua WANG,Daizhan CHENG,&Xiyu LIU.(2019).matrixexpressionofshapleyvaluesanditsapplicationtodistributedresourceallocation.中国科学信息科学英文版,062(002),42.
MLA	Yuanhua WANG,et al."matrixexpressionofshapleyvaluesanditsapplicationtodistributedresourceallocation".中国科学信息科学英文版 062.002(2019):42.