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dc.contributor.authorOner, A.
dc.contributor.authorGunel, G. O.
dc.contributor.authorSaldı, Naci
dc.date.accessioned2018-10-01T13:40:00Z
dc.date.available2018-10-01T13:40:00Z
dc.date.issued2018
dc.identifier.issn1683-3511en_US
dc.identifier.urihttp://hdl.handle.net/10679/5983
dc.identifier.urihttp://acmij.az/view.php?lang=az&menu=journal&id=467
dc.description.abstractIn this paper, we study linear-quadratic hierarchical mean field Stackelberg differential games with decentralized adapted open-loop information structure. In this game model, there are three levels of decision making, with a leader at the top level, sub-leaders at the intermediate level, and a large population of followers at lowest level. Accordingly, the leader cannot influence the followers' actions directly, but instead sub-leaders link up followers to the global leader as an intermediate layer. The leader plays a Stackelberg game with the sub-leaders, and the sub-leaders play a Stackelberg game of the mean field type with the followers. The followers are (weakly) coupled through a mean field term, which only affects the followers' individual costs. One of the contributions of this work is to consider the infinite population limit of the finite-follower multi-layer game model. We establish the existence of Stackelberg equilibrium in the limiting case, which is expected to be an approximate Stackelberg equilibrium by the law of large numbers when the population of followers is finite, but sufficiently large. We show the effectiveness of the proposed method through a numerical example.en_US
dc.description.sponsorshipTÜBİTAK
dc.language.isoengen_US
dc.publisherMinistry Communications & High Technologies Republic Azerbaijanen_US
dc.relationinfo:turkey/grantAgreement/TUBITAK/ 1059B141500074
dc.relation.ispartofApplied And Computational Mathematics
dc.rightsrestrictedAccess
dc.titleMean field multilayer stackelberg differential games in multi-agent systemsen_US
dc.typeArticleen_US
dc.peerreviewedyesen_US
dc.publicationstatusPublisheden_US
dc.contributor.departmentÖzyeğin University
dc.contributor.authorID(ORCID 0000-0002-2677-7366 & YÖK ID 283091) Saldı, Naci
dc.contributor.ozuauthorSaldı, Naci
dc.identifier.volume17en_US
dc.identifier.issue1en_US
dc.identifier.startpage72en_US
dc.identifier.endpage95en_US
dc.identifier.wosWOS:000429377600007
dc.subject.keywordsMean field game theoryen_US
dc.subject.keywordsStackelberg equilibriumen_US
dc.subject.keywordsHierarchical controlen_US
dc.subject.keywordsLarge scale systems controlen_US
dc.subject.keywordsStochastic controlen_US
dc.subject.keywordsDifferential gamesen_US
dc.subject.keywordsMultilayer network controlen_US
dc.identifier.scopusSCOPUS:2-s2.0-85080073506
dc.relation.publicationcategoryArticle - International Refereed Journal - Institutional Academic Staff


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