AI 中文总结
本文研究两种有偏q选民模型，计算两种意见的持续概率并绘制相图，发现相图区域与模型不动点行为存在非平凡强关联。
AI 中文摘要
意见动力学模型中的持续概率用于估计智能体直到当前时间仍不改变初始意见的倾向。本文研究两种具有二元意见的非线性q选民模型，当q个智能体组成的小组意见不一致时，动力学由有偏选择决定。针对对应已知定态的不同参数范围对模型进行研究，采用平均场理论和数值模拟分别计算两种意见的持续概率。长时间行为通常为饱和或衰减，可近似为指数形式，具体取决于所选参数。基于此，给出两种模型在参数空间中的相图，相图区域与对应模型的不动点行为存在强关联，就持续概率而言这一关联非平凡。
英文摘要
Persistence probability in opinion dynamics models estimates the tendency of the agents not to change their initial opinion till the present time. Here we consider two nonlinear q-voter models with binary opinions, where the dynamics are governed by a biased choice when the q panel is not unanimous. The models are studied for different parameter ranges corresponding to the known stationary states. Mean field theory and numerical simulations are used to compute the persistence probability for the two types of opinion separately. The long time behavior in general is either a saturation or a decay that can be approximated by an exponential form, depending on the chosen parameters. Based on this, phase diagrams in the parameter space are presented for both the models. The regions in the phase diagrams indicate a strong correlation with the behavior of fixed points in the corresponding models, which is non-trivial as far as the persistence probability is concerned.
Comments14 pages, 8 figures
