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Heterogeneous voter models

Naoki Masuda, N. Gibert, and S. Redner
Phys. Rev. E 82, 010103(R) – Published 28 July 2010

Abstract

We introduce the heterogeneous voter model (HVM), in which each agent has its own intrinsic rate to change state, reflective of the heterogeneity of real people, and the partisan voter model (PVM), in which each agent has an innate and fixed preference for one of two possible opinion states. For the HVM, the time until consensus is reached is much longer than in the classic voter model. For the PVM in the mean-field limit, a population evolves to a preference-based state, where each agent tends to be aligned with its internal preference. For finite populations, discrete fluctuations ultimately lead to consensus being reached in a time that scales exponentially with population size.

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  • Received 3 March 2010

DOI:https://doi.org/10.1103/PhysRevE.82.010103

©2010 American Physical Society

Authors & Affiliations

Naoki Masuda1,2, N. Gibert3,4, and S. Redner4

  • 1Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-8656, Japan
  • 2PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
  • 3Ecole Nationale Supérieure de Techniques Avancées, 32 Boulevard Victor, 75739 Paris, France
  • 4Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA

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Issue

Vol. 82, Iss. 1 — July 2010

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