Social Power Dynamics Over Switching and Stochastic Influence Networks

doi:10.1109/TAC.2018.2822182

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	Social Power Dynamics Over Switching and Stochastic Influence Networks
	Chen, Ge1,2 ; Duan, Xiaoming 3,4; Friedkin, Noah E.4,5; Bullo, Francesco 3,4
	2019-02-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	64 期号:2 页码:582-597
摘要	The DeGroot-Friedkin (DF) model is a recently proposed dynamical description of the evolution of individuals' self-appraisal and social power in a social influence network. Most studies of this system and its variations have so far focused on models with a time-invariant influence network. This paper proposes novel models and analysis results for DF models over switching influence networks, and with or without environment noise. First, for a DF model over switching influence networks, we show that the trajectory of the social power converges to a ball centered at the equilibrium reached by the original DF model. For the DF model with memory on random interactions, we show that the social power converges to the equilibrium of the original DF model almost surely. Additionally, this paper studies a DF model that contains random interactions and environment noise, and has memory on the self-appraisal. We show that such a system converges to an equilibrium or a set almost surely. Finally, as a by-product, we provide novel results on the convergence rates of the original DF model and convergence results for a continuous-time DF model.
关键词	DeGroot-Friedkin (DF) model opinion dynamics social networks social power evolution stochastic approximation
DOI	10.1109/TAC.2018.2822182
语种	英语
资助项目	U.S. Army Research Laboratory ; U.S. Army Research Office[W911NF-15-1-0577] ; National Natural Science Foundation of China[91427304] ; National Natural Science Foundation of China[61673373] ; National Natural Science Foundation of China[11688101] ; National Key Basic Research Program of China (973 program)[2014CB845301/2/3] ; Leading research projects of Chinese Academy of Sciences[QYZDJ-SSW-JSC003]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000457375100010
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32460
专题	系统科学研究所
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 LSC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA 4.Univ Calif Santa Barbara, Ctr Control Dynam Syst & Computat, Santa Barbara, CA 93106 USA 5.Univ Calif Santa Barbara, Dept Sociol, Santa Barbara, CA 93106 USA
推荐引用方式 GB/T 7714	Chen, Ge,Duan, Xiaoming,Friedkin, Noah E.,et al. Social Power Dynamics Over Switching and Stochastic Influence Networks[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2019,64(2):582-597.
APA	Chen, Ge,Duan, Xiaoming,Friedkin, Noah E.,&Bullo, Francesco.(2019).Social Power Dynamics Over Switching and Stochastic Influence Networks.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,64(2),582-597.
MLA	Chen, Ge,et al."Social Power Dynamics Over Switching and Stochastic Influence Networks".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 64.2(2019):582-597.