KMS Of Academy of mathematics and systems sciences, CAS
Dynamic social balance and convergent appraisals via homophily and influence mechanisms | |
Mei, Wenjun1; Cisneros-Velarde, Pedro2; Chen, Ge4; Friedkin, Noah E.2,3; Bullo, Francesco2 | |
2019-12-01 | |
发表期刊 | AUTOMATICA |
ISSN | 0005-1098 |
卷号 | 110页码:11 |
摘要 | y Social balance theory describes allowable and forbidden configurations of the topologies of signed directed social appraisal networks. In this paper, we propose two discrete-time dynamical systems that explain how an appraisal network converges to social balance from an initially unbalanced configuration. These two models are based on two different socio-psychological mechanisms, respectively: the homophily mechanism and the influence mechanism. Our main theoretical contribution is a comprehensive analysis for both models in three steps. First, we establish the well-posedness and bounded evolution of the interpersonal appraisals. Second, we fully characterize the set of equilibrium points; for both models, each equilibrium network is composed of an arbitrary number of complete subgraphs satisfying structural balance. Third, we establish the equivalence among three distinct properties: non-vanishing appraisals, convergence to all-to-all appraisal networks, and finite-time achievement of social balance. In addition to theoretical analysis, Monte Carlo validations illustrate how the non-vanishing appraisal condition holds for generic initial conditions in both models. Moreover, a numerical comparison between the two models indicates that the homophily-based model might be a more universal explanation for the emergence of social balance. Finally, adopting the homophily-based model, we present numerical results on the mediation and globalization of local conflicts, the competition for allies, and the asymptotic formation of a single versus two factions. (C) 2019 Elsevier Ltd. All rights reserved. |
关键词 | Structural balance Multi-agent systems Homophily/Influence mechanisms Nonlinear network dynamics |
DOI | 10.1016/j.automatica.2019.108580 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | U.S. Army Research Laboratory ; U.S. Army Research Office[W911NF-15-1-0577] |
WOS研究方向 | Automation & Control Systems ; Engineering |
WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic |
WOS记录号 | WOS:000495491900003 |
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/50661 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Mei, Wenjun |
作者单位 | 1.Swiss Fed Inst Technol, Automat Control Lab, Zurich, Switzerland 2.Univ Calif Santa Barbara, Ctr Control Dynam Syst & Computat, Santa Barbara, CA 93106 USA 3.Univ Calif Santa Barbara, Dept Sociol, Santa Barbara, CA 93106 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Mei, Wenjun,Cisneros-Velarde, Pedro,Chen, Ge,et al. Dynamic social balance and convergent appraisals via homophily and influence mechanisms[J]. AUTOMATICA,2019,110:11. |
APA | Mei, Wenjun,Cisneros-Velarde, Pedro,Chen, Ge,Friedkin, Noah E.,&Bullo, Francesco.(2019).Dynamic social balance and convergent appraisals via homophily and influence mechanisms.AUTOMATICA,110,11. |
MLA | Mei, Wenjun,et al."Dynamic social balance and convergent appraisals via homophily and influence mechanisms".AUTOMATICA 110(2019):11. |
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