Guilbaud's Theorem : An early contribution to judgment aggregation
AbstractIn 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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Date of creation: Jun 2009
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Arrow's theorem; aggregation rule; judgment aggregation; logical connexions; simple game; ultrafilter.;
Other versions of this item:
- Daniel Eckert & Bernard Monjardet, 2009. "Guilbaud's Theorem : an early contribution to judgment aggregation," Documents de travail du Centre d'Economie de la Sorbonne 09047, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- Philippe Mongin, 2012.
"The doctrinal paradox, the discursive dilemma, and logical aggregation theory,"
Theory and Decision,
Springer, vol. 73(3), pages 315-355, September.
- Mongin, Philippe, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," MPRA Paper 37752, University Library of Munich, Germany.
- Mongin, Philippe & Dietrich, Franz, 2011. "An interpretive account of logical aggregation theory," Les Cahiers de Recherche 941, HEC Paris.
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