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Social Power Dynamics Over Switching and Stochastic Influence Networks

文献类型：期刊论文

作者Chen, Ge1,2; Duan, Xiaoming3,4; Friedkin, Noah E.4,5; Bullo, Francesco3,4
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2019-02-01
卷号64期号:2页码:582-597
关键词DeGroot-Friedkin (DF) model opinion dynamics social networks social power evolution stochastic approximation
ISSN号0018-9286
DOI10.1109/TAC.2018.2822182
英文摘要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.
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
语种英语
WOS记录号WOS:000457375100010
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/32459]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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