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Judgment aggregation in general logics

Listed author(s):
  • 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.

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File URL: http://econwpa.repec.org/eps/pe/papers/0505/0505007.pdf
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Paper provided by EconWPA in its series Public Economics with number 0505007.

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Length: 23 pages
Date of creation: 18 May 2005
Handle: RePEc:wpa:wuwppe:0505007
Note: Type of Document - pdf; pages: 23
Contact details of provider: Web page: http://econwpa.repec.org

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