论文标题
通过确定粒子近似的意见形成系统
Opinion Formation Systems via Deterministic Particles Approximation
论文作者
论文摘要
我们为单个和多种物种(关注者,领导者,巨魔)提供了基于ODE的派生形成模型的基于ODE的推导。该方法纯粹是确定性的,单一意见的演变取决于两种机制之间的竞争:意见扩散和妥协过程。这种确定性方法允许在极限中恢复PDE的聚集/(非线性)扩散系统,以使宏观观点密度恢复。
We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely deterministic and the evolution of the single opinion is determined by the competition between two mechanisms: the opinion diffusion and the compromise process. Such deterministic approach allows to recover in the limit an aggregation/(nonlinear)diffusion system of PDEs for the macroscopic opinion densities.