Social consensus through the influence of committed minorities

@article{Xie2011SocialCT,
  title={Social consensus through the influence of committed minorities},
  author={Jierui Xie and Sameet Sreenivasan and Gyorgy Korniss and W. Zhang and Chjan C. Lim and Boleslaw K. Szymanski},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={84 1 Pt 1},
  pages={
          011130
        }
}
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… 

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