Pair approximation for the noisy threshold q voter model
Abstract
In the standard q voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size q . A more realistic extension is the threshold q voter, where a minimal agreement (at least 0 <q_{0}≤q opposite opinions) is sufficient to flip the central agent's opinion, including also the possibility of independent (nonconformist) choices. Variants of this model including nonconformist behavior have been previously studied in fully connected networks (meanfield limit). Here we investigate its dynamics in random networks. Particularly, while in the meanfield case it is irrelevant whether repetitions in the influence group are allowed, we show that this is not the case in networks, and we study the impact of both cases, with or without repetition. Furthermore, the results of computer simulations are compared with the predictions of the pair approximation derived for uncorrelated networks of arbitrary degree distributions.
 Publication:

Physical Review E
 Pub Date:
 May 2020
 DOI:
 10.1103/PhysRevE.101.052131
 arXiv:
 arXiv:2002.04715
 Bibcode:
 2020PhRvE.101e2131V
 Keywords:

 Physics  Physics and Society;
 Condensed Matter  Statistical Mechanics
 EPrint:
 13 pages, 12 figures