New paradigms towards the modelling of complex systems in behavioral economics

This paper develops a mathematical framework based on kinetic theory for active particles and on a suitable decomposition into functional subsystems and shows how it can be implemented to describe some specific complex economic applications. Specifically, the applications are focused on opinion dynamics and job mobility phenomena. These two examples offer a first insight into multiscale issues: starting from the application, a preliminary mathematical framework taking into account both microscopic and macroscopic interactions is developed. This framework may be adapted to the modelling of a great variety of complex phenomena.