Simplification and analysis of a model of social interaction in voting
Theoretical Physics Division, School of Physics and Astronomy, The
University of Manchester, Manchester
M13 9PL, UK
2 Centre for Policy Modelling, Manchester Metropolitan University, Manchester, M15 6BH, UK
Current address: Mathematics Institute, University of Warwick, Coventry
CV4 7AL, UK
b e-mail: firstname.lastname@example.org
Received in final form: 5 April 2016
Published online: 4 July 2016
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.
Key words: Statistical and Nonlinear Physics
© The Author(s) 2016. This article is published with open access at Springerlink.com
This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.