Modeling and Control in Social Dynamics

Modeling and control of opinion formation

Marco Caponigro

CNAM, Paris


We present a model for opinion dynamics on the sphere based on classical consensus algorithms. The choice of the model is motivated by the analysis of the comprehensive literature on the subject, both from the mathematical and the sociological point of views. The resulting dynamics is highly nonlinear and therefore presents a rich structure. We present an analysis of equilibria and of the asymptotic behaviour and we establish sufficient conditions for consensus. We also address the problem of the stabilization to consensus and of the local controllability.