Degenerate second order mean field games systems

Porretta, Alessio; Graber, Philip Jameson; Cardaliaguet, Pierre; Tonon, Daniela

Porretta, Alessio; Graber, Philip Jameson; Cardaliaguet, Pierre; Tonon, Daniela (2014), Degenerate second order mean field games systems, NETCO 2014 - New Trends on Optimal Control, 2014-05, Tours, France

Type

Communication / Conférence

External document link

http://hal.inria.fr/hal-01024600

Date

2014

Conference title

NETCO 2014 - New Trends on Optimal Control

Conference date

2014-05

Conference city

Tours

Conference country

France

Metadata

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Author(s)

Porretta, Alessio
Dipartimento di Matematica [Roma II] [DIPMAT]
Graber, Philip Jameson

Cardaliaguet, Pierre
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Tonon, Daniela
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]

Abstract (EN)

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

Subjects / Keywords

partial differential equation; Mean field game theory