Dynamics of latent voters

Renaud Lambiotte, Jari Saramäki, and Vincent D. Blondel
Phys. Rev. E 79, 046107 – Published 21 April 2009

Abstract

We study the effect of latency on binary-choice opinion formation models. Latency is introduced into the models as an additional dynamic rule: after a voter changes its opinion, it enters a waiting period of stochastic length where no further changes take place. We first focus on the voter model and show that as a result of introducing latency, the average magnetization is not conserved, and the system is driven toward zero magnetization, independently of initial conditions. The model is studied analytically in the mean-field case and by simulations in one dimension. We also address the behavior of the majority-rule model with added latency, and show that the competition between imitation and latency leads to a rich phenomenology.

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  • Received 11 November 2008

DOI:https://doi.org/10.1103/PhysRevE.79.046107

©2009 American Physical Society

Authors & Affiliations

Renaud Lambiotte1,2, Jari Saramäki3, and Vincent D. Blondel1

  • 1Department of Mathematical Engineering, Université catholique de Louvain, 4 Avenue Georges Lemaitre, B-1348 Louvain-la-Neuve, Belgium
  • 2Institute for Mathematical Sciences, Imperial College London, 53 Prince’s Gate, SW7 2PG London, United Kingdom
  • 3Department of Biomedical Engineering and Computational Science, Helsinki University of Technology, P.O. Box 9203, FI-02015 TKK, Finland

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Issue

Vol. 79, Iss. 4 — April 2009

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