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

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Theory, Numerics and Applications of Hyperbolic Problems I (HYP 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 236))

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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.

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Acknowledgements

D. A. Gomes was partially supported by KAUST baseline funds and KAUST OSR-CRG2017-3452. L. Nurbekyan and M. Sedjro were supported by KAUST baseline and start-up funds.

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Authors and Affiliations

  1. CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia

    Diogo Gomes, Levon Nurbekyan & Marc Sedjro

Authors
  1. Diogo Gomes
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  2. Levon Nurbekyan
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  3. Marc Sedjro
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Corresponding author

Correspondence to Marc Sedjro .

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Editors and Affiliations

  1. Department of Mathematics, Würzburg University, Würzburg, Germany

    Christian Klingenberg

  2. Department of Mathematics, RWTH Aachen University, Aachen, Germany

    Michael Westdickenberg

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Gomes, D., Nurbekyan, L., Sedjro, M. (2018). Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems I. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 236. Springer, Cham. https://doi.org/10.1007/978-3-319-91545-6_49

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