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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 - Universität of Graz)
Bernard Monjardet () (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I)

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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.

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Publisher Info
Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00404185_v1.

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Date of creation: Jun 2009
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Handle: RePEc:hal:cesptp:halshs-00404185_v1

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Related research
Keywords: Arrow's theorem; aggregation rule; judgment aggregation; logical connexions; simple game; ultrafilter.;

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This page was last updated on 2009-12-17.


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