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Rise of the centrist: from binary to continuous opinion dynamics

Baker, George A. and Hague, James P. (2008). Rise of the centrist: from binary to continuous opinion dynamics. International Journal of Modern Physics C, 19(9) pp. 1459–1475.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1142/s0129183108013023
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Abstract

We propose a model that extends the binary "united we stand, divided we fall" opinion dynamics of Sznajd-Weron to handle continuous and multi-state discrete opinions on a linear chain. Disagreement dynamics are often ignored in continuous extensions of the binary rules, so we make the most symmetric continuum extension of the binary model that can treat the consequences of agreement (debate) and disagreement (confrontation) within a population of agents. We use the continuum extension as an opportunity to develop rules for persistence of opinion (memory). Rules governing the propagation of centrist views are also examined. Monte Carlo simulations are carried out. We find that both memory effects and the type of centrist significantly modify the variance of average opinions in the large timescale limits of the models. Finally, we describe the limit of applicability for Sznajd-Weron's model of binary opinions as the continuum limit is approached. By comparing Monte Carlo results and long time-step limits, we find that the opinion dynamics of binary models are significantly different to those where agents are permitted more than 3 opinions.

Item Type: Journal Article
ISSN: 0129-1831
Keywords: opinion dynamics; social; economic systems
Academic Unit/Department: Science > Physical Sciences
Interdisciplinary Research Centre: Centre for Earth, Planetary, Space and Astronomical Research (CEPSAR)
Biomedical Research Network (BRN)
Item ID: 12306
Depositing User: James Hague
Date Deposited: 27 Jan 2009 02:37
Last Modified: 07 Mar 2014 13:49
URI: http://oro.open.ac.uk/id/eprint/12306
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