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Guilbaud's Theorem : an early contribution to judgment aggregation

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Author Info
Daniel Eckert () (Institute of Public Economics - University of Graz)
Bernard Monjardet () (Centre d'Economie de la Sorbonne)

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Abstract

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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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2009/09047.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 09047.

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Length: 21 pages
Date of creation: Jun 2009
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Handle: RePEc:mse:cesdoc:09047

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Web page: http://ces.univ-paris1.fr/
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Related research
Keywords: Arrow's theorem; aggregation rule; judgment aggregation; logical connexions; simple game; ultrafilter.;

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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This page was last updated on 2009-11-23.

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