Non-Adaptive Matroid Prophet Inequalities

dc.contributor.authorSayutina, Alice
dc.date.accessioned2023-05-04T14:49:38Z
dc.date.available2023-05-04T14:49:38Z
dc.date.issued2023-05-04
dc.date.submitted2023-04-26
dc.description.abstractWe consider the problem of matroid prophet inequalities. This problem has been ex- tensively studied in case of adaptive prices, with [KW12] obtaining a tight 2-competitive mechanism for all the matroids. However, the case non-adaptive is far from resolved, although there is a known constant- competitive mechanism for uniform and graphical matroids (see [Cha+20]). We improve on constant-competitive mechanism from [Cha+20] for graphical matroids, present a separate mechanism for cographical matroids, and combine those to obtain constant-competitive mechanism for all regular matroids.en
dc.identifier.urihttp://hdl.handle.net/10012/19413
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.titleNon-Adaptive Matroid Prophet Inequalitiesen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentCombinatorics and Optimizationen
uws-etd.degree.disciplineCombinatorics and Optimizationen
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.embargo.terms0en
uws.contributor.advisorPashkovich, Kanstantsin
uws.contributor.affiliation1Faculty of Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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