论文标题

当开放的心态阻碍共识

When open mindedness hinders consensus

论文作者

Schawe, Hendrik, Hernández, Laura

论文摘要

我们对Hegselmann-Krause有限的置信度动态模型进行详细研究,并具有异质置信度$ \ VAREPSILON_I $以不同的间隔$ [\ VAREPSILON_L,\ VAREPSILON_U] $。该相图揭示了一种高度复杂且非单调的行为,该区域的重点共识阶段预计将对均质情况碎片化成多种不同的意见。对相图进行仔细的探索,以及广泛的有限尺寸分析,使我们能够确定导致这种反直觉行为的机制。这项对系统尺寸的系统研究远远超出了以前的作品,这是由本文提出的有效算法实现的。

We perform a detailed study of the Hegselmann-Krause bounded confidence opinion dynamics model with heterogeneous confidence $\varepsilon_i$ drawn from uniform distributions in different intervals $[\varepsilon_l, \varepsilon_u]$. The phase diagram reveals a highly complex and nonmonotonous behaviour, with a re-entrant consensus phase in the region where fragmentation into multiple distinct opinions is expected for the homogeneous case. A careful exploration of the phase diagram, along with an extensive finite-size analysis, allows us to identify the mechanism leading to this counter-intuitive behaviour. This systematic study over system sizes which go well beyond those of previous works, is enabled by an efficient algorithm presented in this article.

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