Degenerate second order mean field games systems

Daniela Tonon (1) , Pierre Cardaliaguet (1) , Philip J. Graber (2) , Alessio Porretta (3)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 OC - Optimisation et commande
3 DIPMAT - Dipartimento di Matematica [Roma II]

We consider degenerate second order mean field games systems with a local coupling. The starting point is the idea that mean field games systems can be understood as an optimality condition for optimal control of PDEs. Developing this strategy for the degenerate second order case, we discuss the existence and uniqueness of a weak solution as well as its stability (vanishing viscosity limit). Speaker: Daniela TONON

Domaines: Optimisation et contrôle [math.OC]

Daniela Tonon, Pierre Cardaliaguet, Philip J. Graber, Alessio Porretta. Degenerate second order mean field games systems. NETCO 2014 - New Trends on Optimal Control, Jun 2014, Tours, France. ⟨hal-01024600⟩