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Guilbaud's Theorem : An early contribution to judgment aggregation

Author

Listed:
  • Daniel Eckert

    () (Institute of Public Economics - Karl-Franzens-Universität Graz)

  • Bernard Monjardet

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Daniel Eckert & Bernard Monjardet, 2009. "Guilbaud's Theorem : An early contribution to judgment aggregation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00404185, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00404185
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00404185
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    Cited by:

    1. Philippe Mongin & Franz Dietrich, 2011. "An Interpretive Account of Logical Aggregation Theory," Working Papers hal-00625427, HAL.
    2. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, vol. 73(3), pages 315-355, September.

    More about this item

    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.;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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