A kinetic model for multidimensional opinion formation

Laurent Boudin (1, 2) , Roberto Monaco (3) , Francesco Salvarani (4)

1 LJLL - Laboratoire Jacques-Louis Lions
2 REO - Numerical simulation of biological flows
3 DIMAT - Department of Mathematics [Torino]
4 Dipartimento di matematica F. Casorati

In this paper, we deal with a kinetic model to describe the evolution of the opinion in a closed group with respect to a choice between multiple options, e.g. political parties, which takes into account two main mechanisms of opinion formation, namely the interaction between individuals and the effect of the mass media. We provide an existence and uniqueness result for the model, and then we numerically test it in some relevant cases.

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Boudin, Roberto Monaco, Francesco Salvarani. A kinetic model for multidimensional opinion formation. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2010, pp.036109. ⟨10.1103/PhysRevE.81.036109⟩. ⟨hal-00426284⟩