文章基本信息

标题：Naive Learning in Social Networks: Convergence, Influence and Wisdom of Crowds
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作者：Jackson, Matthew O. ; Golub, Benjamin ; Jackson, Matthew O. 等
期刊名称：Journal of Agribusiness
印刷版ISSN：0738-8950
出版年度：2007
期号：suppl
出版社：Journal of Agribusiness
摘要：We study learning and influence in a setting where agents communicate according to an arbitrary social network and naively update their beliefs by repeatedly taking weighted averages of their neighbors' opinions. A focus is on conditions under which beliefs of all agents in large societies converge to the truth, despite their naive updating. We show that this happens if and only if the influence of the most influential agent in the society is vanishing as the society grows. Using simple examples, we identify two main obstructions which can prevent this. By ruling out these obstructions, we provide general structural conditions on the social network that are sufficient for convergence to truth. In addition, we show how social influence changes when some agents redistribute their trust, and we provide a complete characterization of the social networks for which there is a convergence of beliefs. Finally, we survey some recent structural results on the speed of convergence and relate these to issues of segregation, polarization and propaganda.
关键词：Social Networks;Learning;Diffusion;Bounded Rationality