Convergence properties of the heterogeneous Deffuant-Weisbuch model

doi:10.1016/j.automatica.2020.108825

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	Convergence properties of the heterogeneous Deffuant-Weisbuch model
	Chen, Ge 1,2; Su, Wei 3; Mei, Wenjun 4; Bullo, Francesco 5,6
	2020-04-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	114 页码:9
摘要	The Deffuant-Weisbuch (DW) model is a bounded-confidence opinion dynamics model that has attracted much recent interest. Despite its simplicity and appeal, the DW model has proved technically hard to analyze and its most basic convergence properties, easy to observe numerically, are only conjectures. This paper solves the convergence problem for the heterogeneous DW model with the weighting factor not less than 1/2. We establish that, for any positive confidence bounds and initial values, the opinion of each agent will converge to a limit value almost surely, and the convergence rate is exponential in mean square. Moreover, we show that the limiting opinions of any two agents either are the same or have a distance larger than the confidence bounds of the two agents. Finally, we provide some sufficient conditions for the heterogeneous DW model to reach consensus. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Opinion dynamics Consensus Deffuant model Gossip model Bounded confidence model
DOI	10.1016/j.automatica.2020.108825
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[61803024] ; National Key Basic Research Program of China (973 program)[2016YFB0800404] ; Fundamental Research Funds for the Central Universities[FRF-TP-17-087A1] ; National Key Research and Development Program of Ministry of Science and Technology of China[2018AAA0101002] ; U.S. Army Research Laboratory ; U.S. Army Research Office[W911NF-15-1-0577]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000519656500005
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50941
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Ge
作者单位	1.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China 4.ETH, Automat Control Lab, CH-8092 Zurich, Switzerland 5.Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA 6.Univ Calif Santa Barbara, Ctr Control Dynam Syst & Computat, Santa Barbara, CA 93106 USA
推荐引用方式 GB/T 7714	Chen, Ge,Su, Wei,Mei, Wenjun,et al. Convergence properties of the heterogeneous Deffuant-Weisbuch model[J]. AUTOMATICA,2020,114:9.
APA	Chen, Ge,Su, Wei,Mei, Wenjun,&Bullo, Francesco.(2020).Convergence properties of the heterogeneous Deffuant-Weisbuch model.AUTOMATICA,114,9.
MLA	Chen, Ge,et al."Convergence properties of the heterogeneous Deffuant-Weisbuch model".AUTOMATICA 114(2020):9.