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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCardaliaguet, Pierre
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorMasoero, Marco
dc.date.accessioned2019-07-24T13:04:06Z
dc.date.available2019-07-24T13:04:06Z
dc.date.issued2019-04
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19408
dc.language.isoenen
dc.subjectweak KAM theoryen
dc.subjectMFGen
dc.subject.ddc515en
dc.titleWeak KAM theory for potential MFGen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe develop the counterpart of weak KAM theory for potential mean field games. This allows to describe the long time behavior of time-dependent potential mean field game systems. Our main result is the existence of a limit, as time tends to infinity, of the value function of an optimal control problem stated in the space of measures. In addition, we show a mean field limit for the ergodic constant associated with the corresponding Hamilton-Jacobi equation.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages29en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02116125en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019-04
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-07-24T13:02:08Z
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