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arXiv 1608.08810physics.soc-phcs.SI
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从观点动力学的数学模型看从众、反从众与观点极化

Conformity, anticonformity and polarization of opinions: insights from a mathematical model of opinion dynamics

Tyll Krueger, Janusz Szwabiński, Tomasz Weron

摘要:

理解和量化社会系统中的两极分化是重要的,原因有很多。例如,它可以帮助避免社会中的隔离和冲突,或控制两极分化的辩论并预测其结果。在本文中,我们提出了一个版本的$q$ -选民模型的观点动力学与两种类型的社会影响的反应:符合(如在原来的$q$ -选民模型)和反符合。我们把模型的社会网络的双团拓扑结构,以检查这些反应之间的相互作用如何影响的观点动力学的人口分为两个对立的部分。该模型进行了分析,数值模拟和蒙特卡罗模拟。我们的研究结果表明,系统经历了两个分支的集团之间的交叉链接的数量的变化。在第一个临界点以下,整个系统的共识是可能的。因此,两个对立的集团只有在松散地联系在一起时才可能有相同的意见。在该点以上,系统最终处于极化状态。

英文摘要:

Understanding and quantifying polarization in social systems is important because of many reasons. It could for instance help to avoid segregation and conflicts in the society or to control polarized debates and predict their outcomes. In this paper we present a version of the $q$-voter model of opinion dynamics with two types of response to social influence: conformity (like in original $q$-voter model) and anticonformity. We put the model on a social network with the double-clique topology in order to check how the interplay between those responses impacts the opinion dynamics in a population divided into two antagonistic segments. The model is analyzed analytically, numerically and by means of Monte Carlo simulations. Our results show that the systems undergoes two bifurcations as the number of cross-links between cliques changes. Below the first critical point consensus in the entire system is possible. Thus two antagonistic cliques may share the same opinion only if they are loosely connected. Above that point the system ends up in a polarized state.

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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