Guilbaud's Theorem: An early contribution to judgment aggregation

Daniel Eckert () and Bernard Monjardet

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Abstract: 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.

Keywords: Arrow's theorem; aggregation rule; judgment aggregation; logical connexions; ultrafilter.; simple game; ultrafilter; Agrégation des jugements; jeu simple; liaisons logiques; règle d'agrégation; théorème d'Arrow; ultrafiltre. (search for similar items in EconPapers)
Date: 2009-06
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00404185v1
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Citations: View citations in EconPapers (2)

Published in 2009

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Working Paper: Guilbaud's Theorem: An early contribution to judgment aggregation (2009)
Working Paper: Guilbaud's Theorem: an early contribution to judgment aggregation (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00404185

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