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Working Papers, Institute of Mathematical Economics, Universität Bielefeld >
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http://hdl.handle.net/10419/43824
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Full metadata record
| DC Field | | Value | | Language |
| dc.contributor.author | | Herzberg, Frederik | | en_US |
| dc.contributor.author | | Eckert, Daniel | | en_US |
| dc.date.accessioned | | 2010-11-26 | | en_US |
| dc.date.accessioned | | 2011-01-24T10:23:49Z | | - |
| dc.date.available | | 2011-01-24T10:23:49Z | | - |
| dc.date.issued | | 2009 | | en_US |
| dc.identifier.pi | | urn:nbn:de:hbz:361-15937 | | en_US |
| dc.identifier.uri | | http://hdl.handle.net/10419/43824 | | - |
| dc.description.abstract | | This 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.iso | | eng | | en_US |
| dc.publisher | | Inst. of Mathematical Economics, IMW Bielefeld | | en_US |
| dc.relation.ispartofseries | | Working papers // Institute of Mathematical Economics 424 | | en_US |
| dc.subject.jel | | D71 | | en_US |
| dc.subject.ddc | | 330 | | en_US |
| dc.subject.keyword | | Arrow-type preference aggregation | | en_US |
| dc.subject.keyword | | Judgment aggregation | | en_US |
| dc.subject.keyword | | Systematicity | | en_US |
| dc.subject.keyword | | Model theory | | en_US |
| dc.subject.keyword | | First-order predicate logic | | en_US |
| dc.subject.keyword | | Filter | | en_US |
| dc.subject.keyword | | Ultrafilter | | en_US |
| dc.subject.stw | | Nutzenfunktion | | en_US |
| dc.subject.stw | | Präferenztheorie | | en_US |
| dc.subject.stw | | Aggregation | | en_US |
| dc.subject.stw | | Soziale Wohlfahrtsfunktion | | en_US |
| dc.subject.stw | | Unmöglichkeitstheorem | | en_US |
| dc.subject.stw | | Theorie | | en_US |
| dc.title | | General aggregation problems and social structure: A model-theoretic generalisation of the Kirman-Sondermann correspondence | | en_US |
| dc.type | | Working Paper | | en_US |
| dc.identifier.ppn | | 616895445 | | en_US |
| dc.rights | | http://www.econstor.eu/dspace/Nutzungsbedingungen | | en_US |
| Appears in Collections: | | Working Papers, Institute of Mathematical Economics, Universität Bielefeld
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