Guilbaud's Theorem : an early contribution to judgment aggregation.

In a paper published in 1952, the French matematician Georges-Théodule Guilbaud has generalized Arrow's impossibility result to the "logical problem of aggregation", thus anticipating the literature on abstract aggregation theory and judgment aggregation. We reconstruct the proof of Guilbaud's theorem, which is also of technical interest, because it can be seen as the first use of ultrafilters in social choice theory.

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Year of publication:	2009-06
Authors:	Eckert, Daniel ; Monjardet, Bernard
Institutions:	Centre d'Économie de la Sorbonne, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Arrow's theorem \| aggregation rule \| judgment aggregation \| logical connexions \| simple game \| ultrafilter

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Extent:	application/pdf
Series:	Documents de travail du Centre d'Economie de la Sorbonne. - ISSN 1955-611X.
Type of publication:	Book / Working Paper
Language:	English
Notes:	21 pages
Classification:	D71 - Social Choice; Clubs; Committees; Associations
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10004994284