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Un bilan interprétatif de la théorie de l'agrégation logique

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  • Philippe Mongin
  • Franz Dietrich

Abstract

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds whatever, and not barely judgments of preference. It derives from Kornhauser and Sager’s doctrinal paradox and Pettit’s discursive dilemma, two problems that we restate by emphasizing their conceptual differences. Henceforth, we follow the main technical advances of the theory, from the first impossibility theorem proved by List and Pettit to the completely general results of Dietrich and Mongin. We stress the collective achievement of the canonical theorem – by Dietrich and List, Dokow and Holzman, Nehring and Puppe – which provided the theory with a specific method of analysis : it consists in mathematically characterizing the impossibility agendas of a given aggregator – i.e., the sets of propositions such that no collective judgment function exists with a certain list of axiomatic properties. The presentation is unified here by the use of formal logic, for which we claim relevance at every step, and by the above-mentioned distinction between the doctrinal paradox and the discursive dilemma, which we reelaborate upon technically.

Suggested Citation

  • Philippe Mongin & Franz Dietrich, 2010. "Un bilan interprétatif de la théorie de l'agrégation logique," Revue d'économie politique, Dalloz, vol. 120(6), pages 929-972.
  • Handle: RePEc:cai:repdal:redp_206_0929
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    References listed on IDEAS

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    1. Boheim, Rene & Ermisch, John, 2001. " Partnership Dissolution in the UK--The Role of Economic Circumstances," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(2), pages 197-208, May.
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    Cited by:

    1. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, pages 315-355.
    2. Philippe Mongin, 2011. "Judgment aggregation," Working Papers hal-00579346, HAL.
    3. Philippe Mongin, 2012. "Une source méconnue de la théorie de l'agrégation des jugements," Revue économique, Presses de Sciences-Po, vol. 63(4), pages 645-657.
    4. Maniquet, François & Mongin, Philippe, 2016. "A theorem on aggregating classifications," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 6-10.

    More about this item

    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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