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Kinetic approach to the collective dynamics of the rock-paper-scissors binary game

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierDipartimento di matematica F. Casorati
dc.contributor.authorSalvarani, Francesco
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorPouradier Duteil, Nastassia
HAL ID: 743507
dc.date.accessioned2021-05-12T08:42:50Z
dc.date.available2021-05-12T08:42:50Z
dc.date.issued2021-01
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/21668
dc.language.isoenen
dc.subjectKinetic Equationsen
dc.subjectBinary gamesen
dc.subjectDiffusion limitsen
dc.subject.ddc515en
dc.titleKinetic approach to the collective dynamics of the rock-paper-scissors binary gameen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit for two meaningful choices of the domain of definition of the independent variables. We notice that the domain of definition of the problem plays a crucial role and heavily influences the behavior of the solution. The rigorous proof of the relaxation limit does not need the use of entropy estimates for ensuring compactness.en
dc.relation.isversionofjnlnameApplied Mathematics and Computation;0096-3003
dc.relation.isversionofjnlvol388en
dc.relation.isversionofjnldate2021-01
dc.relation.isversionofdoi10.1016/j.amc.2020.125496en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-10-07T08:23:57Z
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