论文标题

嘈杂选民模型中的支持性互动

Supportive interactions in the noisy voter model

论文作者

Kononovicius, A.

论文摘要

拉坦社会影响理论预测招聘和支持性互动是造成舆论形成的原因。到目前为止,选民模型中只考虑了招聘互动。在这里,我们考虑了具有支持性互动的嘈杂选民模型,这使得选民不太可能改变他们的意见。这类似于冻结的选民模型,但没有与他们过去的自我互动,选民获得了同行的支持。我们研究了可以实施支持的两种不同的方式:支持阻止模仿和独立性,仅支持威慑模仿。这两个假设都将强烈的漂移引入模型,该模型几乎总是克服由模仿行为引起的扩散。除非支持变得太强大,否则第一个假设将充分的吸引力引入了完全共识状态。后一个假设促进了众多少数群体的部分共识。

Latane social impact theory predicts recruitment and supportive interactions being responsible for opinion formation. So far only recruitment interactions were considered in the voter models. Here we consider a noisy voter model with supportive interactions, which make voters less likely to change their opinions. This is similar to the voter models with freezing, but instead of interacting with their past selves voters get the support from their peers. We examine two different ways in which the support could be implemented: support deterring imitation as well as independence, support deterring imitation only. Both assumptions introduce strong drift into the model, which almost always overcomes the diffusion caused by the imitative behavior. The first assumption introduces strong attraction to a full consensus state, unless the support becomes too strong. The latter assumption promotes partial consensus, with surviving minority group.

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