Convergence rate of the asymmetric Deffuant-Weisbuch dynamics

doi:10.1007/s11424-015-3240-z

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	Convergence rate of the asymmetric Deffuant-Weisbuch dynamics
	Zhang Jiangbo 1; Chen Ge2
	2015-08-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	28 期号:4 页码:773-787
摘要	This paper considers the convergence rate of an asymmetric Deffuant-Weisbuch model.The model is composed by finite n interacting agents. In this model, agent i's opinion is updated ateach time, by first selecting one randomly from n agents, and then combining the selected agent j's opinion if the distance between j's opinion and i's opinion is not larger than the confidence radius E >(0). This yields the endogenously changing inter-agent topologies. Based on the previous result that all agents opinions will converge almost surely for any initial states, the authors prove that the expected potential function of the convergence rate is upper bounded by a negative exponential function of time t when opinions reach consensus finally and is upper bounded by a negative power function of time t when opinions converge to several different limits.
关键词	Convergence rate Deffuant-Weisbuch model multi-agent systems opinion dynamics
DOI	10.1007/s11424-015-3240-z
语种	英语
资助项目	Young Scholars Development Fund of Southwest Petroleum University (SWPU)[201499010050] ; Scientific Research Starting Project of SWPU[2014QHZ032] ; National Natural Science Foundation of China[61203141] ; National Key Basic Research Program of China (973 Program)[2014CB845301/2/3]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000356820600002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20140
专题	系统科学研究所
通讯作者	Zhang Jiangbo
作者单位	1.Southwest Petr Univ, Fac Sci, Chengdu 610500, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang Jiangbo,Chen Ge. Convergence rate of the asymmetric Deffuant-Weisbuch dynamics[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(4):773-787.
APA	Zhang Jiangbo,&Chen Ge.(2015).Convergence rate of the asymmetric Deffuant-Weisbuch dynamics.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(4),773-787.
MLA	Zhang Jiangbo,et al."Convergence rate of the asymmetric Deffuant-Weisbuch dynamics".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.4(2015):773-787.