Physica A: Statistical Mechanics and its Applications, ( ISI ), Volume (544), Year (2019-11) , Pages (123462-123474)

Title : ( Controlling opinions in Deffuant model by reconfiguring the network topology )

Authors: Masoud Bashari , Mohammad Reza Akbarzadeh Totonchi ,

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Abstract

This paper proposes a topology reconfiguration approach for improving the rate of convergence of opinions to the opinion of a pre-specified leader for the class of convergent Deffuant models with a limited number of links. From a systems theory perspective, this problem can be viewed as a constrained stochastic nonlinear on–off control problem. Accordingly, we first propose a deterministic version of the Deffuant model and rewrite its dynamic equations to reach a set of nonlinear state-space equations where opinions are state variables and link connectivities are inputs. For that model, we then design an on–off controller based on a short-sighted predictive control strategy that dynamically changes the topology of the network by a low computational burden process. Results confirm that the proposed control strategy reaches faster convergence rates of opinions to the leader’s opinion in comparison with the well-known Erdős–Rényi structure with a similar number of links. The proposed control strategy also provides a higher rate of link connectivity for the links that are connected to the leader. Furthermore, it is observed that if the network has a fixed topology based on the obtained rate of link connectivity, it will still have a relatively rapid convergence rate which is comparable with that of a fully connected topology.

Keywords

Deffuant model Opinion formation Network configuration Predictive control Social networks
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@article{paperid:1078274,
author = {Bashari, Masoud and Akbarzadeh Totonchi, Mohammad Reza},
title = {Controlling opinions in Deffuant model by reconfiguring the network topology},
journal = {Physica A: Statistical Mechanics and its Applications},
year = {2019},
volume = {544},
month = {November},
issn = {0378-4371},
pages = {123462--123474},
numpages = {12},
keywords = {Deffuant model Opinion formation Network configuration Predictive control Social networks},
}

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%0 Journal Article
%T Controlling opinions in Deffuant model by reconfiguring the network topology
%A Bashari, Masoud
%A Akbarzadeh Totonchi, Mohammad Reza
%J Physica A: Statistical Mechanics and its Applications
%@ 0378-4371
%D 2019

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