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|
|Number of pages||7|
|State||Published - Jun 23 2018|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged 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.