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Dynamics of opinions with social biases
Chen, Zihan1,2; Qin, Jiahu3; Li, Bo4; Qi, Hongsheng1,2; Buchhorn, Peter5; Shi, Guodong6
Source PublicationAUTOMATICA
AbstractThis paper aims to provide a systemic analysis to social opinion dynamics subject to individual biases. As a generalization of the classical DeGroot social interactions, defined by linearly coupled dynamics of peer opinions that evolve over time, biases add to state-dependent edge weights and therefore lead to highly nonlinear network dynamics. Previous studies have dealt with convergence and stability analysis of such systems for a few specific initial node opinions and network structures, and here we focus on how individual biases affect social equilibria and their stabilities. Two categories of equilibria, namely the boundary and interior equilibria, are defined. For a few fundamental network structures, some important interior network equilibria are presented explicitly for a wide range of system parameters, which are shown to be locally unstable in general. Particularly, the interval centroid is proven to be unstable regardless of the bias level and the network topologies. Next, we prove that when the initial network opinions are polarized towards one side of the state space, node biases will drive the opinion evolution to the corresponding interval boundaries. Such polarization attraction effect continues to hold under even directed and switching network structures. Finally, a number of numerical examples are provided to validate our study and advance the understanding of the nonlinearity inherited within the biased opinion evolution. (C) 2019 Elsevier Ltd. All rights reserved.
KeywordOpinion dynamics Complex networks Nonlinear systems
Funding ProjectAustralian Research Council[DP190103615] ; National Natural Science Foundation of China[61873252] ; National Natural Science Foundation of China[61873262] ; National Natural Science Foundation of China[61733018] ; Fok Ying-Tong Education Foundation for Young Teachers in Higher Education Institutions of China[161059]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000473380000042
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Document Type期刊论文
Corresponding AuthorQin, Jiahu
Affiliation1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Univ Sci & Technol China, Dept Automat, Hefei 230027, Anhui, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
5.Australian Natl Univ, Res Sch Engn, Canberra, ACT 0200, Australia
6.Univ Sydney, Australian Ctr Field Robot, Sydney, NSW 2008, Australia
Recommended Citation
GB/T 7714
Chen, Zihan,Qin, Jiahu,Li, Bo,et al. Dynamics of opinions with social biases[J]. AUTOMATICA,2019,106:374-383.
APA Chen, Zihan,Qin, Jiahu,Li, Bo,Qi, Hongsheng,Buchhorn, Peter,&Shi, Guodong.(2019).Dynamics of opinions with social biases.AUTOMATICA,106,374-383.
MLA Chen, Zihan,et al."Dynamics of opinions with social biases".AUTOMATICA 106(2019):374-383.
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