Fragmentation transitions in multistate voter models

Phys. Rev. E 85, 066117 – Published 15 June 2012
Gesa A. Böhme and Thilo Gross

Abstract

Adaptive models of opinion formation among humans can display a fragmentation transition, where a social network breaks into disconnected components. Here we investigate this transition in a class of models with arbitrary number of opinions. In contrast to previous work we do not assume that opinions are equidistant or arranged on a one-dimensional conceptual axis. Our investigation reveals detailed analytical results on fragmentations in a three-opinion model, which are confirmed by agent-based simulations. Furthermore, we show that in certain models the number of opinions can be reduced without affecting the fragmentation points.

DOI: http://dx.doi.org/10.1103/PhysRevE.85.066117

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  • Received 25 January 2012
  • Published 15 June 2012

©2012 American Physical Society

Authors & Affiliations

Gesa A. Böhme*

  • Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany

Thilo Gross

  • University of Bristol, Department of Engineering Mathematics, Bristol, UK

  • *gesa@pks.mpg.de

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