%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 ln⁡N, 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 ln⁡N, 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 }