Simplification and analysis of a model of social interaction in voting

  • Luis F. Lafuerza
  • Louise Dyson
  • Bruce Edmonds
  • Alan J. McKaneEmail author
Open Access
Regular Article


A recently proposed model of social interaction in voting is investigated by simplifying it down into a version that is more analytically tractable and which allows a mathematical analysis to be performed. This analysis clarifies the interplay of the different elements present in the system – social influence, heterogeneity and noise – and leads to a better understanding of its properties. The origin of a regime of bistability is identified. The insight gained in this way gives further intuition into the behaviour of the original model.


Statistical and Nonlinear Physics 


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© The Author(s) 2016

This is an open access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Luis F. Lafuerza
    • 1
  • Louise Dyson
    • 1
  • Bruce Edmonds
    • 2
  • Alan J. McKane
    • 1
    Email author
  1. 1.Theoretical Physics Division, School of Physics and Astronomy, The University of ManchesterManchesterUK
  2. 2.Centre for Policy Modelling, Manchester Metropolitan UniversityManchesterUK

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