通过坚定的少数群体的影响达成社会共识
Social consensus through the influence of committed minorities
摘要：
我们展示了如何在人口中占主导地位的多数意见，可以迅速扭转一小部分随机分布的承诺代理人谁一贯改宗的反对意见和免疫的影响。具体来说，我们表明，当承诺的分数增长超过一个临界值p_c \approx 10%，有一个戏剧性的减少的时间，T_c，采取了整个人口的承诺意见。特别地，对于完全图，当p < p_c时，T_c \sim \exp（α（p）N），而当p > p_c时，T_c \sim \ln N.最后，我们得出了Erdens-Rényi随机图和无标度网络的模拟结果，它们表现出定性相似的行为。
英文摘要：
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 \approx 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 \sim \exp(α(p)N), while for p > p_c, T_c \sim \ln N. We conclude with simulation results for Erdős-Rényi random graphs and scale-free networks which show qualitatively similar behavior.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
