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dc.contributor.authorAubin, Jean-Pierre
dc.date.accessioned2014-10-30T13:38:50Z
dc.date.available2014-10-30T13:38:50Z
dc.date.issued1990
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14095
dc.language.isoenen
dc.subjectdifferential gamesen
dc.subjectviability theoryen
dc.subjectplayable gamesen
dc.subjectviability kernelsen
dc.subjectheavy trajectoriesen
dc.subjectminimalen
dc.subject.ddc519en
dc.titleDifferential Games: A Viability Approachen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe usual intertemporal optimality criterion traditionally used in differential games is replaced here by a myopic criterion, playability, which requires that at each instant, the state of the game obeys playability constraints. (For simplicity, only time-independent playability constraints are presented below.) Game theoretical concepts are adapted to this case and characterized through conveniently generalized Isaacs’ equations, the contingent Isaacs’ inequalities. For each of these concepts, feedback controls are constructed, according to several game theoretical selection procedures when they are not uniquely determined by contingent Isaacs’ inequalities. The question of choosing strategies through their velocities regarded as decisions is also investigated, and decision rules allowing victory or defeat are characterized through other contingent partial differential equations.en
dc.relation.isversionofjnlnameSIAM Journal on Control and Optimization
dc.relation.isversionofjnlvol28en
dc.relation.isversionofjnlissue6en
dc.relation.isversionofjnldate1990
dc.relation.isversionofjnlpages1294-1320en
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/0328069en
dc.relation.isversionofjnlpublisherSIAMen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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