On a Boltzmann mean-field game model for knowledge growth

Mean-field games have become a popular tool in socio-economic sciences to describe the strategic behavior of a large group of agents. In this talk we present a Boltzmann mean-field game model for knowledge growth, which was introduced by the economists B. Moll and R. Lucas. Agents either increase their knowledge level by exchanging ideas with others or producing goods with the knowledge they already have. We discuss the analytic behavior of the model and illustrate the dynamics with numerical simulations.