具有遗忘个体的社会网络多维观点动力学分析与应用

刘青松; 李明鹏; 柴利

doi:10.16383/j.aas.c210091

具有遗忘个体的社会网络多维观点动力学分析与应用

doi: 10.16383/j.aas.c210091

刘青松^1,,
李明鹏^1,,
柴利^{2, 3,}

1.
武汉科技大学信息科学与工程学院武汉 430081
2.
浙江大学工业控制技术全国重点实验室杭州 310027
3.
浙江大学控制科学与工程学院杭州 310027

基金项目: 国家自然科学基金(61903282, 61625305), 中国博士后科学基金(2020T130488)资助

详细信息

作者简介:
刘青松：武汉科技大学信息科学与工程学院副教授. 2019年获哈尔滨工业大学控制科学与工程系博士学位. 主要研究方向为社会网络, 观点动力学分析, 时滞系统和多智能体系统. E-mail: qingsongliu@wust.edu.cn

李明鹏：武汉科技大学信息科学与工程学院硕士研究生. 2019年获武汉科技大学信息科学与工程学院学士学位. 主要研究方向为社会网络, 观点动力学分析. E-mail: limingpeng1997@163.com

柴利：浙江大学控制科学与工程学院教授. 2002年获香港科技大学电子工程系博士学位. 主要研究方向为分布式优化, 滤波器组框架, 图信号处理, 网络化控制系统. 本文通信作者. E-mail: chaili@wust.edu.cn

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出版历程
- 收稿日期: 2021-01-29
- 录用日期: 2021-04-29
- 网络出版日期: 2021-06-29
- 刊出日期: 2023-10-24

Analysis and Application of Multidimensional Opinion Dynamics on Social Networks With Oblivion Individuals

LIU Qing-Song^1
,,
LI Ming-Peng^1
,,
CHAI Li^{2, 3
,}

1.
School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081
2.
State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027
3.
College of Control Science and Engineering, Zhejiang University, Hangzhou 310027

Funds: Supported by National Natural Science Foundation of China (61903282, 61625305) and China Postdoctoral Science Foundation (2020T130488)

More Information

Author Bio:
LIU Qing-Song　Associate professor at the School of Information Science and Engineering, Wuhan University of Science and Technology. He received his Ph.D. degree from the Department of Control Science and Engineering, Harbin Institute of Technology in 2019. His research interest covers social networks, opinion dynamics analysis, time-delay systems, and multiagent systems

LI Ming-Peng　Master student at the School of Information Science and Engineering, Wuhan University of Science and Technology. He received his bachelor degree from the School of Information Science and Engineering, Wuhan University of Science and Technology in 2019. His research interest covers social networks and opinion dynamics analysis

CHAI Li　Professor at the College of Control Science and Engineering, Zhejiang University. He received his Ph.D. degree in electrical engineering from Hong Kong University of Science and Technology, China in 2002. His research interest covers distributed optimization, filter bank frames, graph signal processing, and networked control systems. Corresponding author of this paper

摘要

摘要: 在个体观点演化过程中, 由于通讯技术和实际环境的限制, 个体之间往往不能进行充分的交流. 另一方面, 由于社会群体的从众压力影响, 个体会改变已形成的观点. 为此, 研究了具有遗忘个体和从众压力的拟强连通社会网络中表达/私人观点演化问题. 为刻画不同话题之间表达/私人观点的相互影响, 提出一个新的多维观点动力学模型. 根据逻辑矩阵和网络影响子矩阵的正则性, 给出表达观点和私人观点收敛的充分条件. 应用本文所提出的观点动力学模型, 复现了“多元无知”的社会现象. 仿真分析表明, 从众压力的恢复力越小, 表达观点与私人观点的差异越大.
- 多维观点动力学 /
- 遗忘个体 /
- 逻辑矩阵 /
- 表达观点 /
- 私人观点
Abstract: Due to the restriction of communication technology and real environment, individuals often do not communicate enough with each other in the evolution process of opinions. On the other hand, individuals may alter their formed opinions under the pressures of conforming in a social community. In this paper, we analyse the evolution problem of the expressed and private opinions for the quasi-strongly connected social networks with oblivion individuals and the pressures to conform. To describe the interaction influences of expressed/private opinions on different topics, a new multidimensional opinion dynamics model is proposed. Sufficient conditions guaranteeing the convergence of the expressed and private opinions are obtained in terms of the regularity of the logic matrix and influence submatrix. By applying our proposed opinion dynamics model to reproduce the social phenomenons of pluralistic ignorance. Simulation analyses show that the smaller the resilience of the pressures is, the larger the difference is between expressed and private opinions.
- Multidimensional opinion dynamics /
- oblivion individuals /
- logic matrices /
- expressed opinions /
- private opinions

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图 1 本文研究框架

Fig. 1 The research framework of this paper

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图 2 具有遗忘个体的社会网络

Fig. 2 Social networks with oblivion individuals

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图 3 多元无知

Fig. 3 Pluralistic ignorance

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图 4 具有遗忘个体的社会网络

Fig. 4 Social networks with oblivion individuals

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图 5 个体1的观点

Fig. 5 Opinions of individual 1

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图 6 个体2的观点

Fig. 6 Opinions of individual 2

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图 7 个体3的观点

Fig. 7 Opinions of individual 3

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图 8 个体4的观点

Fig. 8 Opinions of individual 4

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图 9 个体5的观点

Fig. 9 Opinions of individual 5

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图 10 个体6的观点

Fig. 10 Opinions of individual 6

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图 11 个体7的观点

Fig. 11 Opinions of individual 7

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图 12 观点动力学模型(17): $ C = C_{1}$

Fig. 12 Opinion dynamics model (17) with $ C = C_{1}$

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