Collective learning modeling based on the kinetic theory of active particles

Abstract

This paper proposes a systems approach to the theory of perception and learning in populations composed of many living entities. Starting from a phenomenological description of these processes, a mathematical structure is derived which is deemed to incorporate their complexity features. The modeling is based on a generalization of kinetic theory methods where interactions are described by theoretical tools of game theory. As an application, the proposed approach is used to model the learning processes that take place in a classroom.

Keywords: Active particles; Kinetic theory; Monte Carlo particle method; Social learning; Stochastic differential games.