Noise-based synchronization of bounded confidence opinion dynamics in heterogeneous time-varying communication networks
type: Item
instance of: scholarly article
title: Noise-based synchronization of bounded confidence opinion dynamics in heterogeneous time-varying communication networks
zbMATH Open document ID: 1461.91236
author: Wei Su
author: Xueqiao Wang
author: Ge Chen
author: Yongguang Yu
author: Tarik Hadzibeganovic
published in: Information Sciences
publication date: 2021-05-03T00:00:00Z
review text: This paper studies noise-based synchronization of bounded confidence opinion dynamics in heterogeneous time-varying communication networks. The model is adapted from the Hegselmann \& Krause opinion dynamics with a time-varying undirected communication topology. The opinion of agent \(i\) at time \(t+1\) is updated as \(x_i(t+1)=1\) if \(x_i^*(t)>1\); \(x_i(t+1)=x_i^*(t)\) if \(0\le x_i^*(t)\le 1\); and \(x_i(t+1)=0\) if \(x_i^*(t)<0\). Here, \(x_i^*(t)\) is the average of the neighbors' states plus a random independent noise. The noise is assumed to be identically distributed for all agents and has a given finite bound. It is proved that the system is almost surely noise-synchronizable if and only if the graph is uniformly jointly connected. Numerical simulations have been performed over synthetic networks to validate the theoretical result.
reviewed by: Yilun Shang
Mathematics Subject Classification ID: 91D30
Mathematics Subject Classification ID: 91D15
zbMATH DE Number: 7341955
zbMATH Keywords: opinion dynamics
zbMATH Keywords: bounded confidence
zbMATH Keywords: noise-induced synchronization
zbMATH Keywords: heterogeneous networks
zbMATH Keywords: communication topology
zbMATH Keywords: social learning
MaRDI profile type: Publication
full work available at URL: j.ins.2020.04.018
OpenAlex ID: W3015408939
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DOI: 10.1016/J.INS.2020.04.018
description: scientific article; zbMATH DE number 7341955