Conservation laws arising in the study of forward–Forward mean-field games

Diogo 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 Gomes, Levon Nurbekyan, Marc Sedjro^*

^*Corresponding author for this work

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

3 Scopus citations

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 - Aachen, Germany, 2016
Editors	Michael Westdickenberg, Christian Klingenberg
Publisher	Springer New York LLC
Pages	643-649
Number of pages	7
ISBN (Print)	9783319915449
DOIs	https://doi.org/10.1007/978-3-319-91545-6_49
State	Published - 2018
Event	16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 - Aachen, Germany Duration: Aug 1 2016 → Aug 5 2016

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	236
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016
Country/Territory	Germany
City	Aachen
Period	08/1/16 → 08/5/16

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

Keywords

Conservation laws
Mean-field games
Nonlinear wave equations

ASJC Scopus subject areas

General Mathematics

Access to Document

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

Cite this

Gomes, D., Nurbekyan, L., & Sedjro, M. (2018). Conservation laws arising in the study of forward–Forward mean-field games. In M. Westdickenberg, & C. Klingenberg (Eds.), Theory, Numerics and Applications of Hyperbolic Problems I - Aachen, Germany, 2016 (pp. 643-649). (Springer Proceedings in Mathematics and Statistics; Vol. 236). Springer New York LLC. https://doi.org/10.1007/978-3-319-91545-6_49

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keywords = "Conservation laws, Mean-field games, Nonlinear wave equations",

author = "Diogo Gomes and Levon Nurbekyan and Marc Sedjro",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2018.; 16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 ; Conference date: 01-08-2016 Through 05-08-2016",

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

language = "English (US)",

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Gomes, D, Nurbekyan, L & Sedjro, M 2018, Conservation laws arising in the study of forward–Forward mean-field games. in M Westdickenberg & C Klingenberg (eds), Theory, Numerics and Applications of Hyperbolic Problems I - Aachen, Germany, 2016. Springer Proceedings in Mathematics and Statistics, vol. 236, Springer New York LLC, pp. 643-649, 16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016, Aachen, Germany, 08/1/16. https://doi.org/10.1007/978-3-319-91545-6_49

Conservation laws arising in the study of forward–Forward mean-field games. / Gomes, Diogo; Nurbekyan, Levon; Sedjro, Marc.
Theory, Numerics and Applications of Hyperbolic Problems I - Aachen, Germany, 2016. ed. / Michael Westdickenberg; Christian Klingenberg. Springer New York LLC, 2018. p. 643-649 (Springer Proceedings in Mathematics and Statistics; Vol. 236).

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

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Conservation laws arising in the study of forward–Forward mean-field games

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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