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Convergence rate of the asymmetric Deffuant-Weisbuch dynamics

文献类型：期刊论文

作者Zhang Jiangbo1; Chen Ge2
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2015-08-01
卷号28期号:4页码:773-787
ISSN号1009-6124
关键词Convergence rate Deffuant-Weisbuch model multi-agent systems opinion dynamics
DOI10.1007/s11424-015-3240-z
英文摘要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.
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
语种英语
出版者SPRINGER HEIDELBERG
WOS记录号WOS:000356820600002
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/20139]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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