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 proceedingConference contributionpeer-review

1 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 languageEnglish (US)
Title of host publicationTheory, Numerics and Applications of Hyperbolic Problems I - Aachen, Germany, 2016
EditorsMichael Westdickenberg, Christian Klingenberg
PublisherSpringer New York LLC
Pages643-649
Number of pages7
ISBN (Print)9783319915449
DOIs
StatePublished - 2018
Event16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 - Aachen, Germany
Duration: Aug 1 2016Aug 5 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume236
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016
Country/TerritoryGermany
CityAachen
Period08/1/1608/5/16

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

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