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Convergence rate of the asymmetric Deffuant-Weisbuch dynamics
Zhang Jiangbo1; Chen Ge2
AbstractThis 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.
KeywordConvergence rate Deffuant-Weisbuch model multi-agent systems opinion dynamics
Funding ProjectYoung 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 Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000356820600002
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Document Type期刊论文
Corresponding AuthorZhang Jiangbo
Affiliation1.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
Recommended Citation
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.
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