Guilbaud's 1952 theorem on the logical problem of aggregation

Daniel Eckert () and Bernard Monjardet

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: In a paper published in 1952, shortly after publication of Arrow's celebrated impossibility result, the French mathematicien Georges-Théodule Guilbaud has obtained a dictatorship result for 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: Aggregation; judgment aggregation; logical connectives; simple game; ultrafilter (search for similar items in EconPapers)
Pages: 24 pages
Date: 2010-06
New Economics Papers: this item is included in nep-cdm, nep-his and nep-hpe
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http://mse.univ-paris1.fr/pub/mse/CES2010/10056.pdf (application/pdf)

Related works:
Working Paper: Guilbaud's 1952 theorem on the logical problem of aggregation (2010)
Working Paper: Guilbaud's 1952 theorem on the logical problem of aggregation (2010)
Working Paper: Guilbaud's 1952 theorem on the logical problem of aggregation (2010)
Working Paper: Guilbaud's 1952 theorem on the logical problem of aggregation (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:10056

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