Calculus of Variations and Geometric Measure Theory

S. Fagioli - E. Radici

Opinion formation system via deterministic particle approximation

created by radici on 10 Apr 2020
modified on 22 Jan 2021


Published Paper

Inserted: 10 apr 2020
Last Updated: 22 jan 2021

Journal: Kinetic and Related Models
Year: 2020


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.