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Judgment Aggregation

Author

Listed:
  • Philippe Mongin

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

Abstract

Judgment aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of barely judgments of preference. The paper briefly sums it up, privileging the variant that formalizes judgment by a logical syntax. The theory derives from Kornhauser and Sager's doctrinal paradox and Pettit's discursive dilemma, which List and Pettit turned into an impossibility theorem - the first of a long list to come. After mentioning this stage, the paper restates three theorems that are representative of the current work, by Nehring and Puppe, Dokow and Holzman, and Dietrich and Mongin, respectively, and it concludes by explaining how Dietrich and List have recovered Arrow's theorem as a particular application of the theory.

Suggested Citation

  • Philippe Mongin, 2011. "Judgment Aggregation," Working Papers hal-00625434, HAL.
    • Handle: RePEc:hal:wpaper:hal-00625434
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    Cited by:

    1. is not listed on IDEAS
    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.
    3. List, Christian, 2010. "The theory of judgment aggregation: an introductory review," LSE Research Online Documents on Economics 27596, London School of Economics and Political Science, LSE Library.
    4. Herzberg, Frederik, 2010. "Judgment aggregators and Boolean algebra homomorphisms," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 132-140, January.
    5. Herzberg, Frederik S., 2008. "Judgement aggregation functions and ultraproducts," MPRA Paper 10546, University Library of Munich, Germany, revised 10 Sep 2008.
    6. Philippe Mongin & Franz Dietrich, 2011. "An Interpretive Account of Logical Aggregation Theory," Working Papers hal-00579343, HAL.
    7. Christian Klamler & Daniel Eckert, 2009. "A simple ultrafilter proof for an impossibility theorem in judgment aggregation," Economics Bulletin, AccessEcon, vol. 29(1), pages 319-327.

    More about this item

    Keywords

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    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other

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