Concentration effects in a kinetic model with wealth and knowledge exchanges

Effets de concentration dans un modèle cinétique avec des échanges de richesse et de connaissances

Laurent Boudin (1) , Lara Trussardi (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 Université de Vienne

Using a kinetic equation of Boltzmann type, we describe the effect of knowledge and wealth exchange in a closed community, where all the interactions inside the population are binary. We model the evolution of the distribution function f = f (t, x, v) of agents with wealth v and knowledge x at time t. Some numerical experiments demonstrating, among other things, clustering effects, are presented, and some more asymptotic studies are performed.

Domaines: Mathématiques [math]; Physique mathématique [math-ph]

Laurent Boudin, Lara Trussardi. Concentration effects in a kinetic model with wealth and knowledge exchanges. 2021. ⟨hal-02470191v2⟩