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Optimal Decision Rules for the Discursive Dilemma

Author

Listed:
  • Aureli Alabert

    (Universitat Autònoma de Barcelona)

  • Mercè Farré

    (Universitat Autònoma de Barcelona)

  • Rubén Montes

    (Universitat Autònoma de Barcelona)

Abstract

We consider the classical problem in truth-tracking judgment aggregation of a conjunctive agenda with two premisses and one conclusion. We study this problem from the point of view of finding the best decision rule according to a quantitative criterion, under very mild restrictions on the set of admissible rules. The members of the deciding committee are assumed to have a certain probability to assess correctly the truth or falsity of the premisses, and the best rule is the one that minimises a combination of the probabilities of false positives and false negatives on the conclusion.

Suggested Citation

  • Aureli Alabert & Mercè Farré & Rubén Montes, 2023. "Optimal Decision Rules for the Discursive Dilemma," Group Decision and Negotiation, Springer, vol. 32(4), pages 889-923, August.
    • Handle: RePEc:spr:grdene:v:32:y:2023:i:4:d:10.1007_s10726-023-09828-y
    DOI: 10.1007/s10726-023-09828-y
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    References listed on IDEAS

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