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On the role of zealotry in the voter model

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Published 23 August 2007 IOP Publishing Ltd
, , Citation M Mobilia et al J. Stat. Mech. (2007) P08029 DOI 10.1088/1742-5468/2007/08/P08029

1742-5468/2007/08/P08029

Abstract

We study the voter model with a finite density of zealots—voters that never change opinion. For equal numbers of zealots of each species, the distribution of magnetization (opinions) is Gaussian in the mean-field limit, as well as in one and two dimensions, with a width that is proportional to , where Z is the number of zealots, independent of the total number of voters. Thus just a few zealots can prevent consensus or even the formation of a robust majority.

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