Kinetic models of relevant phenomena related to opinion dynamics

This paper outlines recent analytic results regarding the dynamics of the opinion in large multi-agent systems. Discussed results are based on a unifying framework which takes inspiration from mathematical kinetic theories to describe analytically the long-time asymptotic properties of the opinion in large multi-agent systems. Different models to describe the effects of interactions among agents are considered to take into account different sociological phenomena that are known to govern the dynamics of the opinion. For each of such models, the proposed framework allows the analytic derivation of the dynamics of collective properties, such as the average opinion and its variance. Discussed results are in accordance with known empirical evidence, and their analytic form contributes to a solid theory of opinion dynamics.