Rebels Lead to the Doctrine of the Mean: A Heterogeneous DeGroot Model

doi:10.1007/s11424-018-7136-6

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	Rebels Lead to the Doctrine of the Mean: A Heterogeneous DeGroot Model
	Cao Zhigang 1; Jiao Fengliang 2; Qu Xinglong 3; Wang Wen-Xu 4; Yang Mingmin 5; Yang Xiaoguang5 ; Zhang Boyu 6
	2018-12-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	31 期号:6 页码:1498-1509
摘要	The DeGroot model is one of the most classical models in the field of opinion dynamics. The standard DeGroot model assumes that agents are homogeneous and update their opinions in the direction of a weighted average of their neighbors' opinions. One natural question is whether a second type of agents could significantly change the main properties of the model. The authors address this question by introducing rebels, who update their opinions toward the opposite of their neighbors' weighted average. The authors find that the existence of rebels remarkably affects the opinion dynamics. Under certain mild conditions, the existence of a few rebels will lead the group opinion to the golden mean, regardless of the initial opinions of the agents and the structure of the learning network. This result is completely different from that of the standard DeGroot model, where the final consensus opinion is determined by both the initial opinions and the learning topology. The study then provides new insights into understanding how heterogeneous individuals in a group reach consensus and why the golden mean is so common in human society.
关键词	Golden mean network opinion dynamics rebel
DOI	10.1007/s11424-018-7136-6
语种	英语
资助项目	National Natural Science Foundation of China[71771026] ; National Natural Science Foundation of China[71701058] ; National Natural Science Foundation of China[11471326]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000452723900006
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/31863
专题	系统科学研究所
通讯作者	Wang Wen-Xu
作者单位	1.Beijing Jiaotong Univ, Sch Econ & Management, Dept Econ, Beijing 100044, Peoples R China 2.Weifang Business Vocat Coll, Dept Informat Engn, Zhucheng 262234, Peoples R China 3.Hangzhou Dianzi Univ, Res Ctr Informat Technol & Econ & Social Dev, Hangzhou 310018, Zhejiang, Peoples R China 4.Beijing Normal Univ, Sch Syst Sci, Beijing 100088, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, MADIS, Beijing 100190, Peoples R China 6.Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
推荐引用方式 GB/T 7714	Cao Zhigang,Jiao Fengliang,Qu Xinglong,et al. Rebels Lead to the Doctrine of the Mean: A Heterogeneous DeGroot Model[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2018,31(6):1498-1509.
APA	Cao Zhigang.,Jiao Fengliang.,Qu Xinglong.,Wang Wen-Xu.,Yang Mingmin.,...&Zhang Boyu.(2018).Rebels Lead to the Doctrine of the Mean: A Heterogeneous DeGroot Model.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,31(6),1498-1509.
MLA	Cao Zhigang,et al."Rebels Lead to the Doctrine of the Mean: A Heterogeneous DeGroot Model".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 31.6(2018):1498-1509.