OPINION DYNAMICS ON SOCIAL NETWORKS

doi:10.1007/s10473-022-0616-8

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (6): 2459-2477.doi: 10.1007/s10473-022-0616-8

OPINION DYNAMICS ON SOCIAL NETWORKS

Xing WANG^1,2, Bingjue JIANG^1,2, Bo LI¹

1. KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2022-07-30 出版日期:2022-12-25 发布日期:2022-12-16
通讯作者: Bo LI, E-mail: libo@amss.ac.cn E-mail:libo@amss.ac.cn
基金资助:
This work was partially supported by the National Natural Science Foundation of China (61873262).

OPINION DYNAMICS ON SOCIAL NETWORKS

Xing WANG^1,2, Bingjue JIANG^1,2, Bo LI¹

1. KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2022-07-30 Online:2022-12-25 Published:2022-12-16
Contact: Bo LI, E-mail: libo@amss.ac.cn E-mail:libo@amss.ac.cn
Supported by:
This work was partially supported by the National Natural Science Foundation of China (61873262).

摘要/Abstract

摘要： Opinion dynamics has recently attracted much attention, and there have been a lot of achievements in this area. This paper first gives an overview of the development of opinion dynamics on social networks. We introduce some classical models of opinion dynamics in detail, including the DeGroot model, the Krause model, 0-1 models, sign networks and models related to Gossip algorithms. Inspired by some real life cases, we choose the unit circle as the range of the individuals’ opinion values. We prove that the individuals’ opinions of the randomized gossip algorithm in which the individuals’ opinion values are on the unit circle reaches consensus almost surely.

关键词: opinion dynamics, social networks, graph theory

Abstract: Opinion dynamics has recently attracted much attention, and there have been a lot of achievements in this area. This paper first gives an overview of the development of opinion dynamics on social networks. We introduce some classical models of opinion dynamics in detail, including the DeGroot model, the Krause model, 0-1 models, sign networks and models related to Gossip algorithms. Inspired by some real life cases, we choose the unit circle as the range of the individuals’ opinion values. We prove that the individuals’ opinions of the randomized gossip algorithm in which the individuals’ opinion values are on the unit circle reaches consensus almost surely.

Key words: opinion dynamics, social networks, graph theory

中图分类号:

91D30

Xing WANG, Bingjue JIANG, Bo LI. OPINION DYNAMICS ON SOCIAL NETWORKS[J]. 数学物理学报(英文版), 2022, 42(6): 2459-2477.

Xing WANG, Bingjue JIANG, Bo LI. OPINION DYNAMICS ON SOCIAL NETWORKS[J]. Acta mathematica scientia,Series B, 2022, 42(6): 2459-2477.

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OPINION DYNAMICS ON SOCIAL NETWORKS

OPINION DYNAMICS ON SOCIAL NETWORKS

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