期刊
PHYSICAL REVIEW E
卷 84, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.84.011130
关键词
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资金
- Army Research Laboratory [W911NF-09-2-0053]
- Army Research Office [W911NF-09-1-0254]
- Office of Naval Research [N00014-09-1-0607]
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) approximate to 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 < p(c), T-c similar to exp[alpha(p)N], whereas for p > p(c), T-c similar to ln N. We conclude with simulation results for Erdos-Renyi random graphs and scale-free networks which show qualitatively similar behavior.
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