Judgement aggregation functions and ultraproducts

Frederik S. Herzberg

MPRA Paper from University Library of Munich, Germany

Abstract: The 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.

Keywords: Judgment aggregation function; ultraproduct; ultrafilter (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2008-07-22, Revised 2008-09-10
New Economics Papers: this item is included in nep-cdm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/10546/1/MPRA_paper_10546.pdf original version (application/pdf)

Related works:
Working Paper: Judgment aggregation functions and ultraproducts (2011)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:10546

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().