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.
%0 Journal Article
%1 Mobilia2007
%A Mobilia, M.
%A Petersen, A.
%A Redner, S.
%D 2007
%I Institute of Physics Publishing
%J Journal of Statistical Mechanics: Theory and Experiment
%K consensus-formation opinion-formation voter-model zealotry zealots
%N 08
%P P08029
%R 10.1088/1742-5468/2007/08/P08029
%T On the role of zealotry in the voter model
%V 2007
%X 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.
@article{Mobilia2007,
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.},
added-at = {2011-04-04T16:09:21.000+0200},
author = {Mobilia, M. and Petersen, A. and Redner, S.},
biburl = {https://www.bibsonomy.org/bibtex/29e94c6666717cdf72a108e35cb1b3640/rincedd},
doi = {10.1088/1742-5468/2007/08/P08029},
interhash = {55c4106429c5664328ba57514b4cd449},
intrahash = {9e94c6666717cdf72a108e35cb1b3640},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
keywords = {consensus-formation opinion-formation voter-model zealotry zealots},
number = 08,
pages = {P08029},
publisher = {Institute of Physics Publishing},
timestamp = {2011-04-04T16:09:21.000+0200},
title = {On the role of zealotry in the voter model},
volume = 2007,
year = 2007
}