Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games

Diogo A. Gomes; Levon Nurbekyan; Marc Sedjro

doi:10.1007/978-3-319-91545-6_49

Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games

Diogo A. Gomes, Levon Nurbekyan, Marc Sedjro

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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	https://doi.org/10.1007/978-3-319-91545-6_49
State	Published - Jun 23 2018

Bibliographical note

KAUST 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.

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title = "Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games",

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.",

author = "Gomes, {Diogo A.} and Levon Nurbekyan and Marc Sedjro",

note = "KAUST 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.",

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doi = "10.1007/978-3-319-91545-6_49",

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AU - Gomes, Diogo A.

AU - Nurbekyan, Levon

AU - Sedjro, Marc

N1 - KAUST 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.

PY - 2018/6/23

Y1 - 2018/6/23

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/630423

UR - https://link.springer.com/chapter/10.1007%2F978-3-319-91545-6_49

UR - http://www.scopus.com/inward/record.url?scp=85049373145&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-91545-6_49

DO - 10.1007/978-3-319-91545-6_49

M3 - Conference contribution

AN - SCOPUS:85049373145

SN - 9783319915449

SP - 643

EP - 649

BT - Theory, Numerics and Applications of Hyperbolic Problems I

PB - Springer Nature

ER -

Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games

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