OPINION DYNAMICS ON SOCIAL NETWORKS

• Published in: 数学物理学报（英文版） Vol. 42; no. 6; pp. 2459 - 2477
• Main Authors: Xing WANG, Bingjue JIANG, Bo LI
• Format: Journal Article
• Language: English
• Published: KLMM,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2022; School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China%KLMM,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China
• Subjects: graph theory; social networks; opinion dynamics
• ISSN: 0252-9602
• DOI: 10.3969/j.issn.0252-9602.2022.06.017

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.