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Ranking sets additively in decisional contexts: an axiomatic characterization

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dc.contributor.authorArlegi Pérez, Ricardo
dc.contributor.authorRodríguez Alcantud, José Carlos
dc.contributor.departmentEconomíaes_ES
dc.contributor.departmentEkonomiaeu
dc.date.accessioned2016-05-10T07:40:43Z
dc.date.available2016-05-10T07:40:43Z
dc.date.issued2006
dc.descriptionEste documento de trabajo fue publicado como artículo: Alcantud, J.C.R., Arlegi, R. Ranking sets additively in decisional contexts: an axiomatic characterization. Theor Decis 64, 147–171 (2008). https://doi.org/10.1007/s11238-007-9057-zes_ES
dc.description.abstractRanking finite subsets of a given set X of elements is the formal object of analysis in this paper. This problem has found a wide range of economic interpretations in the literature. The focus of the paper is on the family of rankings that are additively representable. Existing characterizations are too complex and hard to grasp in decisional contexts. Furthermore, Fishburn [13] showed that the number of sufficient and necessary conditions that are needed to characterize such a family has no upper bound as the cardinality of X increases. In turn, this paper proposes a way to overcome these difficulties and allows for the characterization of a meaningful (sub)family of additively representable rankings of sets by means of a few simple axioms. Pattanaik and Xu’s [21] characterization of the cardinality based rule will be derived from our main result, and other new rules that stem from our general proposal are discussed and characterized in even simpler terms. In particular, we analyze restricted-cardinality based rules, where the set of “focal” elements is not given ex-ante; but brought out by the axioms.en
dc.description.sponsorshipJosé C. R. Alcantud acknowledges financial support by FEDER and the Spanish Ministerio de Educación y Ciencia (Project SEJ2005-03041/ECON), and by Junta de Castilla y León (Project SA098A05). R. Arlegi acknowledges financial support by the Spanish Ministerio de Educación y Ciencia (Project SEC2003-08105), and by Junta de Castilla y León (Project VA040A05).en
dc.format.extent20 p.
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/20657
dc.language.isoengen
dc.relation.ispartofseriesDocumentos de Trabajo DE - ES Lan Gaiakes
dc.relation.ispartofseries0610en
dc.rightsCC Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)en
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectRanking setsen
dc.subjectAdditive representationen
dc.subjectCategorizationen
dc.titleRanking sets additively in decisional contexts: an axiomatic characterizationen
dc.typeDocumento de trabajo / Lan gaiakes
dc.typeinfo:eu-repo/semantics/workingPaperen
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoveryc2a5ffc2-e7f3-43bb-959b-d60e0368a31f

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