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Mean field games for modeling crowd motion

hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorAchdou, Yves
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLasry, Jean-Michel
dc.date.accessioned2023-01-23T11:18:40Z
dc.date.available2023-01-23T11:18:40Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/23803
dc.language.isoenen
dc.subjectMean Field Gamesen
dc.subjectCrowd Movementen
dc.subjectDiscrete Bellman Equationen
dc.subjectDiscrete Transport Operatoren
dc.subjectMean Field Game Modelen
dc.subject.ddc515en
dc.titleMean field games for modeling crowd motionen
dc.typeChapitre d'ouvrage
dc.description.abstractenWe present a model for crowd motion based on the recent theory of mean field games. The model takes congestion effects into account. A robust and efficient numerical method is discussed. Numerical simulations are presented for two examples. The second example, in which all the agents share a common source of risk and have incomplete information, is of particular interest, because it cannot be dealt with without modeling rational anticipation.en
dc.identifier.citationpages17-42en
dc.relation.ispartoftitleContributions to Partial Differential Equations and Applicationsen
dc.relation.ispartofeditorB. N. Chetverushkin, W. Fitzgibbon, Y.A. Kuznetsov, P. Neittaanmäki, J. Periaux, O. Pironneau
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlin Heidelbergen
dc.relation.ispartofdate2019
dc.relation.ispartofpages452en
dc.relation.ispartofurl10.1007/978-3-319-78325-3en
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn978-3-319-78324-6en
dc.relation.forthcomingnonen
dc.identifier.doi10.1007/978-3-319-78325-3_4en
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2023-01-23T11:15:53Z
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