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Judgment aggregation in general logics


  • Franz Dietrich

    (University of Konstanz, Germany)


Within social choice theory, the new field of judgment aggregation aims to merge many individual sets of judgments on logically interconnected propositions into a single collective set of judgments on these propositions. Commonly, judgment aggregation is studied using standard propositional logic, with a limited expressive power and a problematic representation of conditional statements ('if P then Q') as material conditionals. In this methodological paper, I present a generalised model, in which most realistic decision problems can be represented. The model is not restricted to a particular logic but is open to several logics, including standard propositional logic, predicate calculi, modal logics and conditional logics. To illustrate the model, I prove an impossibility theorem, which generalises earlier results.

Suggested Citation

  • Franz Dietrich, 2005. "Judgment aggregation in general logics," Public Economics 0505007, EconWPA.
  • Handle: RePEc:wpa:wuwppe:0505007
    Note: Type of Document - pdf; pages: 23

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    References listed on IDEAS

    1. Bussiere, Matthieu & Mulder, Christian, 2000. "Political Instability and Economic Vulnerability," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 5(4), pages 309-330, October.
    2. Nigel A Chalk & Richard Hemming, 2000. "Assessing Fiscal Sustainability in Theory and Practice," IMF Working Papers 00/81, International Monetary Fund.
    3. Thomas Helbling & Sena Eken, 1999. "Back to the Future; Postwar Reconstruction and Stabilization in Lebanon," IMF Occasional Papers 176, International Monetary Fund.
    4. Murray Petrie & Richard Hemming, 2000. "A Framework for Assessing Fiscal Vulnerability," IMF Working Papers 00/52, International Monetary Fund.
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    Cited by:

    1. Klaus Nehring, 2005. "The (Im)Possibility of a Paretian Rational," Economics Working Papers 0068, Institute for Advanced Study, School of Social Science.

    More about this item


    judgement aggregation; discursive dilemma; modelling methodology; formal logics; impossibility theorem;

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • H - Public Economics

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