OPINION FORMATION SYSTEMS VIA DETERMINISTIC PARTICLES APPROXIMATION

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.

Automated summary

The study proposes an ODE-based derivation for a generalized class of opinion formation models for single and multiple species, where the evolution of opinion is determined by the competition between opinion diffusion and compromise process. This deterministic approach allows to recover in the limit an aggregation/nonlinear diffusion system of PDEs for the macroscopic opinion densities.