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dc.contributor.authorHerzberg, Frederiken_US
dc.contributor.authorEckert, Danielen_US
dc.date.accessioned2010-11-26en_US
dc.date.accessioned2011-01-24T10:23:49Z-
dc.date.available2011-01-24T10:23:49Z-
dc.date.issued2009en_US
dc.identifier.piurn:nbn:de:hbz:361-15937en_US
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_US
dc.language.isoengen_US
dc.publisherInst. of Mathematical Economics, IMW Bielefelden_US
dc.relation.ispartofseriesWorking papers // Institute of Mathematical Economics 424en_US
dc.subject.jelD71en_US
dc.subject.ddc330en_US
dc.subject.keywordArrow-type preference aggregationen_US
dc.subject.keywordJudgment aggregationen_US
dc.subject.keywordSystematicityen_US
dc.subject.keywordModel theoryen_US
dc.subject.keywordFirst-order predicate logicen_US
dc.subject.keywordFilteren_US
dc.subject.keywordUltrafilteren_US
dc.subject.stwNutzenfunktionen_US
dc.subject.stwPräferenztheorieen_US
dc.subject.stwAggregationen_US
dc.subject.stwSoziale Wohlfahrtsfunktionen_US
dc.subject.stwUnmöglichkeitstheoremen_US
dc.subject.stwTheorieen_US
dc.titleGeneral aggregation problems and social structure: A model-theoretic generalisation of the Kirman-Sondermann correspondenceen_US
dc.typeWorking Paperen_US
dc.identifier.ppn616895445en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen_US
Appears in Collections:Working Papers, Institute of Mathematical Economics, Universität Bielefeld

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