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The Bird Core for Minimum Cost Spanning Tree Problems Revisited: Monotonicity and Additivity Aspects

dc.contributor.authorNorde, Henk
dc.contributor.authorBranzei, Rodica
dc.contributor.authorMoretti, Stefano
HAL ID: 739814
ORCID: 0000-0003-3627-3257
dc.contributor.authorTijs, Stef
dc.date.accessioned2010-10-04T10:57:21Z
dc.date.available2010-10-04T10:57:21Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/4878
dc.language.isoenen
dc.subjectminimum costs spanning tree situationen
dc.subjectcooperative game theoryen
dc.subjectaspects monotonicityen
dc.subject.ddc519en
dc.titleThe Bird Core for Minimum Cost Spanning Tree Problems Revisited: Monotonicity and Additivity Aspectsen
dc.typeChapitre d'ouvrage
dc.contributor.editoruniversityotherNational Cancer Research Institute of Genoa Unit of Molecular Epidemiology;Italie
dc.contributor.editoruniversityotherUniversity of Genoa Department of Mathematics;Italie
dc.contributor.editoruniversityotherTilburg University CentER and Department of Econometrics and Operations Research The Netherlands;Pays-Bas
dc.contributor.editoruniversityother“Alexandru Ioan Cuza” University Faculty of Computer Science Iasi;Roumanie
dc.description.abstractenA new way is presented to define for minimum cost spanning tree (mcst) games the irreducible core, which is introduced by Bird in 1976. The Bird core correspondence turns out to have interesting monotonicity and additivity properties and each stable cost monotonic allocation rule for mcst-problems is a selection of the Bird core correspondence. Using the additivity property an axiomatic characterization of the Bird core correspondence is obtained.en
dc.identifier.citationpages305-322en
dc.relation.ispartofseriestitleLecture Notes in Economics and Mathematical Systems
dc.relation.ispartofseriesnumber563
dc.relation.ispartoftitleRecent Advances in Optimizationen
dc.relation.ispartofeditorSeeger, Alberto
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate2006
dc.relation.ispartofpages455en
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/3-540-28258-0en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn978-3-540-28257-0en
dc.identifier.doihttp://dx.doi.org/10.1007/3-540-28258-0_19


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