论文标题
多国家嘈杂选民模型中的狂热者
Zealots in multi-state noisy voter models
论文作者
论文摘要
嘈杂的选民模型是意见动态的风格化表示。个人从其他人那里复制意见，并受到自发国家的变化。在两种意见的情况下，众所周知，该模型在一个单峰阶段之间具有噪音驱动的过渡，其中两种观点都存在，并且其中一种观点主导的双峰阶段。狂热者的存在可以消除具有两个意见状态的模型中的单峰和双峰阶段。在这里，我们研究了狂热者在具有M> 2个意见状态的嘈杂选民模型中对完整互动图的影响。我们发现，相位行为多样化，最多六种可能的固定类型的固定状态。狂热者的存在消除了其中的一些阶段，但不是全部。我们分析了狂热者影响整个人群或仅一小部分代理的情况，并表明这种情况对应于具有分数数量狂热分子的单个社区模型，从而进一步丰富了相图。我们的研究是基于有效的持有给定意见的个体数量的有效的出生死亡动态进行分析进行的。结果在数值模拟中得到了证实。
The noisy voter model is a stylised representation of opinion dynamics. Individuals copy opinions from other individuals, and are subject to spontaneous state changes. In the case of two opinion states this model is known to have a noise-driven transition between a unimodal phase, in which both opinions are present, and a bimodal phase in which one of the opinions dominates. The presence of zealots can remove the unimodal and bimodal phases in the model with two opinion states. Here, we study the effects of zealots in noisy voter models with M>2 opinion states on complete interaction graphs. We find that the phase behaviour diversifies, with up to six possible qualitatively different types of stationary states. The presence of zealots removes some of these phases, but not all. We analyse situations in which zealots affect the entire population, or only a fraction of agents, and show that this situation corresponds to a single-community model with a fractional number of zealots, further enriching the phase diagram. Our study is conducted analytically based on effective birth-death dynamics for the number of individuals holding a given opinion. Results are confirmed in numerical simulations.
