The modelling of political dynamics by generalized kinetic (Boltzmann) models

This paper deals with the development of mathematical structures suitable to include a variety of Boltzmann type models for social competition. The first part is devoted to derive the framework suitable to design general models. The second part deals with some applications and simulations in the field of social dynamics, and specifically about the free choice of each individual about one among several families which partition the whole population. Finally, a critical analysis towards research perspectives is proposed.