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arXiv 1902.07084cs.SIphysics.soc-ph
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狂热者会增加还是减少社交网络中的两极分化?

Do zealots increase or decrease the polarization in social networks?

Snehal M. Shekatkar

摘要:

狂热者是社会网络中的顶点,他们在社会压力下不会改变自己的观点,对于复杂网络上的观点动力学研究至关重要。在本文中,我们研究了一个确定性的多数规则模型的极化动力学的结构模型作为基板的狂热者的影响。为此,我们提出了一种新的量化器,称为“相关极化”,用于测量网络中的极化量时,顶点可以存在于两个相反的状态。量词不仅考虑每个观点的顶点的分数,而且考虑它们如何相互连接。然后,我们表明,狂热者的存在并没有一个固定的影响极化,并可以改变它在积极的,消极的或中性的方式取决于他们的拓扑特征,如度,他们在网络中的总分数,密度和度的网络的异质性,以及类型的初始条件的动力学。我们的研究结果特别强调了初始条件在使极化向更低或更高的值漂移时所起的作用的重要性,因为狂热者的总数增加了。

英文摘要:

Zealots are the vertices in a social network who do not change their opinions under social pressure, and are crucial to the study of opinion dynamics on complex networks. In this paper, we study the effect of zealots on the polarization dynamics of a deterministic majority-rule model using the configuration model as a substrate. To this end, we propose a novel quantifier, called `correlated polarization', for measuring the amount of polarization in the network when vertices can exists in two opposite states. The quantifier takes into account not only the fraction of vertices with each opinion, but also how they are connected to each other. We then show that the presence of zealots does not have a fixed effect on the polarization, and can change it in positive, negative or neutral way depending upon their topological characteristics like degree, their total fraction in the network, density and degree heterogeneity of the network, and the type of initial conditions of the dynamics. Our results particularly highlight the importance of the role played by the initial conditions in drifting the polarization towards lower or higher values as the total number of zealots is increased.

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。

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