Send to

Choose Destination
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 1):011130. Epub 2011 Jul 22.

Social consensus through the influence of committed minorities.

Author information

Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180, USA.


We show how the prevailing majority opinion in a population can be rapidly reversed by a small fraction p of randomly distributed committed agents who consistently proselytize the opposing opinion and are immune to influence. Specifically, we show that when the committed fraction grows beyond a critical value p(c) ≈ 10%, there is a dramatic decrease in the time T(c) taken for the entire population to adopt the committed opinion. In particular, for complete graphs we show that when p < pc, T(c) ~ exp [α(p)N], whereas for p>p(c), T(c) ~ ln N. We conclude with simulation results for Erdős-Rényi random graphs and scale-free networks which show qualitatively similar behavior.

[Indexed for MEDLINE]

Supplemental Content

Loading ...
Support Center