Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/43824 
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dc.contributor.authorHerzberg, Frederiken
dc.contributor.authorEckert, Danielen
dc.date.accessioned2010-11-26-
dc.date.accessioned2011-01-24T10:23:49Z-
dc.date.available2011-01-24T10:23:49Z-
dc.date.issued2009-
dc.identifier.piurn:nbn:de:hbz:361-15937en
dc.identifier.urihttp://hdl.handle.net/10419/43824-
dc.description.abstractThis article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972] correspondence by extending the methodology of Lauwers and Van Liedekerke [Journal of Mathematical Economics, 24(3):217-237, 1995]. The paper first proposes a unified framework for the analysis of the relation between various aggregation problems and the social structure they induce, based on first-order predicate logic and model theory. Thereafter, aggregators satisfying Arrow-type rationality axioms are shown to be restricted reduced product constructions with respect to the filter of decisive coalitions; an oligarchic impossibility result follows. Under stronger assumptions, aggregators are restricted ultraproduct constructions, whence a generalized Kirman-Sondermann correspondence as well as a dictatorial impossiblity result follow.en
dc.language.isoengen
dc.publisher|aBielefeld University, Institute of Mathematical Economics (IMW) |cBielefelden
dc.relation.ispartofseries|aWorking Papers |x424en
dc.subject.jelD71en
dc.subject.ddc330en
dc.subject.keywordArrow-type preference aggregationen
dc.subject.keywordJudgment aggregationen
dc.subject.keywordSystematicityen
dc.subject.keywordModel theoryen
dc.subject.keywordFirst-order predicate logicen
dc.subject.keywordFilteren
dc.subject.keywordUltrafilteren
dc.subject.stwNutzenfunktionen
dc.subject.stwPräferenztheorieen
dc.subject.stwAggregationen
dc.subject.stwSoziale Wohlfahrtsfunktionen
dc.subject.stwUnmöglichkeitstheoremen
dc.subject.stwTheorieen
dc.titleGeneral aggregation problems and social structure: A model-theoretic generalisation of the Kirman-Sondermann correspondence-
dc.typeWorking Paperen
dc.identifier.ppn616895445en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen

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