Abstract
We consider forward–forward Mean-Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of hyperbolic conservation laws as well as certain nonlinear wave equations. Second, we investigate existence and long-time behavior of solutions for such models.
Original language | English (US) |
---|---|
Title of host publication | Theory, Numerics and Applications of Hyperbolic Problems I |
Publisher | Springer Nature |
Pages | 643-649 |
Number of pages | 7 |
ISBN (Print) | 9783319915449 |
DOIs | |
State | Published - Jun 23 2018 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KAUSTOSR-CRG2017-3452
Acknowledgements: D. A. Gomes was partially supported by KAUST baseline funds and KAUSTOSR-CRG2017-3452. L. Nurbekyan and M. Sedjro were supported by KAUST baseline and start-up funds.