We introduce a two-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of randomly selected agents, consensus is reached in a time that scales lnN, where N is the number of agents. On finite-dimensional lattices, where a group is a contiguous cluster, the consensus time fluctuates strongly between realizations and grows as a dimension-dependent power of N. The upper critical dimension appears to be larger than 4. The final opinion always equals that of the initial majority except in one dimension.
%0 Journal Article
%1 Krapivsky2003Dynamics
%A Krapivsky, P. L.
%A Redner, S.
%D 2003
%I American Physical Society
%J Physical Review Letters
%K kinetics, majority-vote, opinion-models, spin-models
%N 23
%P 238701+
%R 10.1103/physrevlett.90.238701
%T Dynamics of Majority Rule in Two-State Interacting Spin Systems
%U http://dx.doi.org/10.1103/physrevlett.90.238701
%V 90
%X We introduce a two-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of randomly selected agents, consensus is reached in a time that scales lnN, where N is the number of agents. On finite-dimensional lattices, where a group is a contiguous cluster, the consensus time fluctuates strongly between realizations and grows as a dimension-dependent power of N. The upper critical dimension appears to be larger than 4. The final opinion always equals that of the initial majority except in one dimension.
@article{Krapivsky2003Dynamics,
abstract = {{We introduce a two-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of randomly selected agents, consensus is reached in a time that scales lnN, where N is the number of agents. On finite-dimensional lattices, where a group is a contiguous cluster, the consensus time fluctuates strongly between realizations and grows as a dimension-dependent power of N. The upper critical dimension appears to be larger than 4. The final opinion always equals that of the initial majority except in one dimension.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Krapivsky, P. L. and Redner, S.},
biburl = {https://www.bibsonomy.org/bibtex/2d464d0e179f0cbc998ac85846af0bcf5/nonancourt},
citeulike-article-id = {2506502},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.90.238701},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v90/i23/e238701},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v90/i23/e238701},
day = 13,
doi = {10.1103/physrevlett.90.238701},
interhash = {e400cf84cbceb18bd3e948777acb1304},
intrahash = {d464d0e179f0cbc998ac85846af0bcf5},
journal = {Physical Review Letters},
keywords = {kinetics, majority-vote, opinion-models, spin-models},
month = jun,
number = 23,
pages = {238701+},
posted-at = {2012-09-06 22:48:08},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-06-10T14:53:09.000+0200},
title = {{Dynamics of Majority Rule in Two-State Interacting Spin Systems}},
url = {http://dx.doi.org/10.1103/physrevlett.90.238701},
volume = 90,
year = 2003
}