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Rebels Lead to the Doctrine of the Mean: A Heterogeneous DeGroot Model
Cao Zhigang1; Jiao Fengliang2; Qu Xinglong3; Wang Wen-Xu4; Yang Mingmin5; Yang Xiaoguang5; Zhang Boyu6
AbstractThe 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.
KeywordGolden mean network opinion dynamics rebel
Funding ProjectNational Natural Science Foundation of China[71771026] ; National Natural Science Foundation of China[71701058] ; National Natural Science Foundation of China[11471326]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000452723900006
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Document Type期刊论文
Corresponding AuthorWang Wen-Xu
Affiliation1.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
Recommended Citation
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.
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