Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (6): 2459-2477.doi: 10.1007/s10473-022-0616-8

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Xing WANG1,2, Bingjue JIANG1,2, Bo LI1   

  1. 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:
  • Supported by:
    This work was partially supported by the National Natural Science Foundation of China (61873262).

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

CLC Number: 

  • 91D30