Guilbaud's Theorem : An early contribution to judgment aggregation

In a paper published in 1952, the French mathematician 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:	HAL
Subject:	Arrow's theorem \| aggregation rule \| judgment aggregation \| logical connexions \| simple game \| ultrafilter

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00404185
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010738468