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dc.contributor.authorHerzberg, Frederiken_US
dc.date.accessioned2010-11-29en_US
dc.date.accessioned2011-01-24T10:23:42Z-
dc.date.available2011-01-24T10:23:42Z-
dc.date.issued2008en_US
dc.identifier.piurn:nbn:de:hbz:361-14216en_US
dc.identifier.urihttp://hdl.handle.net/10419/43817-
dc.description.abstractThe relationship between propositional model theory and social decision making via premise-based procedures is explored. A one-to-one correspondence between ultrafilters on the population set and weakly universal, unanimity-respecting, systematic judgment aggregation functions is established. The proof constructs an ultraproduct of profiles, viewed as propositional structures, with respect to the ultrafilter of decisive coalitions. This representation theorem can be used to prove other properties of such judgment aggregation functions, in particular sovereignty and monotonicity, as well as an impossibility theorem for judgment aggregation in finite populations. As a corollary, Lauwers and Van Liedekerke's (1995) representation theorem for preference aggregation functions is derived.en_US
dc.language.isoengen_US
dc.publisherInst. of Mathematical Economics, IMW Bielefelden_US
dc.relation.ispartofseriesWorking papers // Institute of Mathematical Economics 405en_US
dc.subject.jelD71en_US
dc.subject.ddc330en_US
dc.subject.keywordJudgment aggregation functionen_US
dc.subject.keywordUltraproducten_US
dc.subject.keywordUltrafilteren_US
dc.subject.stwPräferenztheorieen_US
dc.subject.stwAggregationen_US
dc.subject.stwSoziale Wohlfahrtsfunktionen_US
dc.subject.stwTheorieen_US
dc.titleJudgment aggregation functions and ultraproductsen_US
dc.typeWorking Paperen_US
dc.identifier.ppn595212468en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen_US
Appears in Collections:Working Papers, Institute of Mathematical Economics, Universität Bielefeld

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