Conciliatory and contradictory dynamics in opinion formation

In this article, we use a kinetic description to study the effect of different psychologies on the evolution of the opinion with respect to a binary choice, in a closed group. We show that the interaction between individuals with different reactions regarding the exchange of opinion induces certain phenomena, such as the concentration of opinions or the cyclic-in-time behaviour of the distribution function. We provide an existence and uniqueness result for the model, and numerically test it in some relevant cases.