Dynamics of opinions with social biases

doi:10.1016/j.automatica.2019.04.035

CSpace > 系统科学研究所

	Dynamics of opinions with social biases
	Chen, Zihan 1,2; Qin, Jiahu 3; Li, Bo4 ; Qi, Hongsheng1,2 ; Buchhorn, Peter 5; Shi, Guodong 6
	2019-08-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	106 页码:374-383
摘要	This 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.
关键词	Opinion dynamics Complex networks Nonlinear systems
DOI	10.1016/j.automatica.2019.04.035
语种	英语
资助项目	Australian 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研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000473380000042
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/35195
专题	系统科学研究所
通讯作者	Qin, Jiahu
作者单位	1.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
推荐引用方式 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.