We consider a mean field game model introduced by economists Lucas and Moll (2014) describing the endogeneous growth derived by the exchange of knowledge and strategic time allocation of a continuum of agents in the economy. This model translates into a mean field game system of PDEs, coupling Hamilton-Jacobi-Bellman and reaction-diffusion equations. In this note we prove the existence of solutions to the infinite horizon problem associated to two different variants of this model, namely when the reaction-diffusion equation is of KPP or combustion type.
Mean Field Games in Some Economic Growth Models / Porretta, A., Rossi, L.. - (2026), pp. 1-25. (20th International Symposium on Dynamic Games and Applications Valladolid, Spain ) [10.1007/978-3-032-22762-1_1].
Mean Field Games in Some Economic Growth Models
Porretta, Alessio;Rossi, Luca
2026
Abstract
We consider a mean field game model introduced by economists Lucas and Moll (2014) describing the endogeneous growth derived by the exchange of knowledge and strategic time allocation of a continuum of agents in the economy. This model translates into a mean field game system of PDEs, coupling Hamilton-Jacobi-Bellman and reaction-diffusion equations. In this note we prove the existence of solutions to the infinite horizon problem associated to two different variants of this model, namely when the reaction-diffusion equation is of KPP or combustion type.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
