Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals

Conference paper (2019)

Authors

M.A. Sharifi Kolarijani Team Peyman Mohajerin Esfahani - Mechanical, Maritime and Materials Engineering
A.V. Proskurnikov Russian Academy of Sciences, Politecnico di Torino
P. Mohajerin Esfahani Team Bart De Schutter - Mechanical, Maritime and Materials Engineering , Team Peyman Mohajerin Esfahani - Mechanical, Maritime and Materials Engineering
Research Group
Team Peyman Mohajerin Esfahani (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2019 M.A. Sharifi Kolarijani, A.V. Proskurnikov, P. Mohajerin Esfahani
DOI
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https://doi.org/10.1109/CDC40024.2019.9030212
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Published Date

2019

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Peyman Mohajerin Esfahani

Abstract

In this paper, we consider the mean-field model of noisy bounded confidence opinion dynamics under exogenous influence of static radical opinions. The long-term behavior of the model is analyzed by providing a sufficient condition for exponential convergence of the dynamics to stationary state. The stationary state is also characterized by a global estimate for a sufficiently large noise. Furthermore, we consider the order-disorder transition in the model in order to identify the effect of the (relative) mass of the radicals on the critical noise level at which this transition occurs. A numerical scheme for approximating the critical noise level is provided and validated through numerical simulations of the mean-field model and the corresponding agent-based model for a particular distribution of radical opinions.