Polarization and consensus by opposing external sources
Polarization and consensus by opposing external sources
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DOI：
10.1088/1742-5468/ab6094
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发表时间：
2020-01-01
影响因子：
2.4
通讯作者：
Redner, S.
中科院分区：
文献类型：
--
作者：
Bhat, Deepak;Redner, S.
我们引入了选民模型的社会动机扩展，其中个人选民也受到两个对立的、固定观点的新闻来源的影响。这些来源阻碍了共识，反而将人们推向政治两极分化的状态，每种意见状态中大约有一半的人口。研究了两种类型的选民社交网络：(a) N 个选民的完整图，更实际的是，(b) 每个派系中有 N 个选民的两派系图。对于完整的图，许多动态属性可以在退火链接近似中溶解，其中新闻源和选民之间的链接被平均链接密度取代。在这个近似值中，我们表明平均共识时间随着 、 的增长而增长。这里p是选民咨询新闻源而不是邻近选民的概率，是新闻源和选民之间的链接密度，因此可以大于1。极化时间，即从最初的强多数状态到达政治极化状态的时间，通常远小于共识时间。对于两派图上的选民来说，要么减少派系间联系的密度，要么增强新闻来源的影响力，再次促进两极分化。
We introduce a socially motivated extension of the voter model in which individual voters are also influenced by two opposing, fixed-opinion news sources. These sources forestall consensus and instead drive the population to a politically polarized state, with roughly half the population in each opinion state. Two types of social networks for the voters are studied: (a) the complete graph of N voters and, more realistically, (b) the two-clique graph with N voters in each clique. For the complete graph, many dynamical properties are soluble within an annealed-link approximation, in which a link between a news source and a voter is replaced by an average link density. In this approximation, we show that the average consensus time grows as , with . Here p is the probability that a voter consults a news source rather than a neighboring voter, and is the link density between a news source and voters, so that can be greater than 1. The polarization time, namely, the time to reach a politically polarized state from an initial strong majority state, is typically much less than the consensus time. For voters on the two-clique graph, either reducing the density of interclique links or enhancing the influence of news sources again promotes polarization.