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dc.contributor.authorWolfram, Marie-Thérèse
dc.contributor.authorLachapelle, Aimé
dc.date.accessioned2011-04-06T11:59:06Z
dc.date.available2011-04-06T11:59:06Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5946
dc.descriptionEgalement paru dans la série des Cahiers de la Chaire Finance et Développement Durable, n°40
dc.language.isoenen
dc.subjectlane formationen
dc.subjectnumerical approximationen
dc.subjectflow of pedestriansen
dc.subjectrational expectationsen
dc.subjectNash equilibriumen
dc.subjectinteracting populationsen
dc.subjectMean field gamesen
dc.subject.ddc519en
dc.subject.classificationjelC61en
dc.subject.classificationjelC02en
dc.titleOn a mean field game approach modeling congestion and aversion in pedestrian crowdsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper we present a new class of pedestrian crowd models based on the mean field games theory introduced by Lasry and Lions in 2006. This macroscopic approach is based on a microscopic model, that considers smart pedestrians who rationally interact and anticipate the future. This leads to a forward-backward structure in time. We focus on two-population interactions and validate the modeling with simple examples such as self-organization behavior as for instance lane formation. Two complementary classes of problems are addressed, namely the case of crowd aversion and the one of congestion. In both cases we describe the model, build a numerical solver (respectively based on optimization formulation and partial differential equations), and finally provide some numerical tests involving complex group behaviors such as symmetry breaking and lane formation.en
dc.relation.isversionofjnlnameTransportation Research Part B: Methodological
dc.relation.isversionofjnlvol45
dc.relation.isversionofjnlissue10
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages1572–1589
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.trb.2011.07.011
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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