On the Role of Zealotry in the Voter Model

Details On the Role of Zealotry in the Voter Model On the Role of Zealotry in the Voter Model

2007-06-20

arxiv.org/abs/0706.2892v2

J. Stat. Mech. P08029, (2007)

Physics

Physics and Society

9 pages, 7 figures, 2-column revtex4 format. Revision has a figure added and minor changes in response to referee comments. Fo

Scientific paper

10.1088/1742-5468/2007/08/P08029

We study the voter model with a finite density of zealots--voters than 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 1/sqrt{Z}, 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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