Paper Info
Title
Quasi-Synchronization Of Bounded Confidence Opinion Dynamics With A Stochastic Asynchronous Rule
Abstract
Recently the theory of noise-induced synchronization of Hegselmann-Krause (HK) dynamics has been well developed. As a typical opinion dynamics of bounded confidence, the HK model obeys a synchronous updating rule, i.e., \emph{all} agents check and update their opinions at each time point. However, whether asynchronous bounded confidence models, including the famous Deffuant-Weisbuch (DW) model, can be synchronized by noise have not been theoretically proved. In this paper, we propose a generalized bounded confidence model which possesses a stochastic asynchronous rule. The model takes the DW model and the HK model as special cases and can significantly generalize the bounded confidence models to practical application. We discover that the asynchronous model possesses a different noise-based synchronization behavior compared to the synchronous HK model. Generally, the HK dynamics can achieve quasi-synchronization \emph{almost surely} under the drive of noise. For the asynchronous dynamics, we prove that the model can achieve quasi-synchronization \emph{in mean}, which is a new type of quasi-synchronization weaker than the "almost surely" sense. The results unify the theory of noise-induced synchronization of bounded confidence opinion dynamics and hence proves the noise-induced synchronization of DW model theoretically for the first time. Moreover, the results provide a theoretical foundation for developing noise-based control strategy of more complex social opinion systems with stochastic asynchronous rules.
Year
DOI
Venue
2022
10.1007/s11432-020-2950-x
SCIENCE CHINA-INFORMATION SCIENCES
DocType
Volume
Issue
Journal
65
1
ISSN
Citations 
PageRank 
1674-733X
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Wei Su1114.69
Xueqiao Wang2193.37
Ge Chen3227.36
Kai Shen422.05