On a discrete generalized kinetic approach for modelling persuader’s influence in opinion formation processes

This paper deals with the definition of a general framework, inspired by the discrete generalized kinetic theory, suitable for the description of the evolution of opinions within a population in the presence of some external actions. As a conceivable application, a specific model of opinion formation is formulated, relying on the interactions of single individuals within the population. Then, two examples of possible persuader’s influence are constructed. The resulting models are expressed by means of nonlinear ordinary differential equations, which are then investigated both analytically and computationally.