论文标题
意见动力学的嘈杂有限的置信度模型：边界条件对相变的影响
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions
论文作者
论文摘要
我们研究SDE和PDE模型在有限的置信度下，对于一系列不同的边界条件，有或不包括根本性人群。我们使用伪光谱方法进行详尽的数值研究来确定边界条件的影响，这表明无升华的情况最忠实地忠实地再现了Hegselmann和Krause相关的确定性模型中的基本机制。我们还比较了SDE和PDE模型，并使用分析中的工具来研究相变，包括对订单参数的系统描述。
We study SDE and PDE models for opinion dynamics under bounded confidence, for a range of different boundary conditions, with and without the inclusion of a radical population. We perform exhaustive numerical studies with pseudospectral methods to determine the effects of the boundary conditions, suggesting that the no-flux case most faithfully reproduce the underlying mechanisms in the associated deterministic models of Hegselmann and Krause. We also compare the SDE and PDE models, and use tools from analysis to study phase transitions, including a systematic description of an order parameter.
