Paper Info
Title
Noise-synchronizability of opinion dynamics.
Abstract
With the analysis of noise-induced synchronization of opinion dynamics with bounded confidence (BC), a natural and fundamental question is what opinion structures can be synchronized by noise. In the traditional Hegselmann-Krause (HK) model, each agent examines the opinion values of all the other ones and then choose neighbors to update its own opinion according to the BC scheme. In reality, people are more likely to interchange opinions with only some individuals, resulting in a predetermined local discourse relationship as introduced by the DeGroot model. In this paper, we consider an opinion dynamics that combines the schemes of BC and local discourse topology and investigate its synchronization induced by noise. The new model endows the heterogeneous HK model with a time-varying discourse topology. With the proposed definition of noise-synchronizability, it is shown that the compound noisy model is almost surely noise-synchronizable if and only if the time-varying discourse graph is uniformly jointly connected, taking the noise-induced synchronization of the classical heterogeneous HK model as a special case. As a natural implication, the result for the first time builds the equivalence between the connectivity of discourse graph and the beneficial effect of noise for opinion consensus.
Year
Venue
Field
2018
arXiv: Systems and Control
Graph,Mathematical optimization,Synchronization,Bounded confidence,Theoretical computer science,Equivalence (measure theory),If and only if,Almost surely,Opinion dynamics,Mathematics,Special case
DocType
Volume
Citations 
Journal
abs/1810.03284
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Wei Su126226.41
Ge Chen2227.36
Yongguang Yu343436.60
Xueqiao Wang400.34