Optimal Decision Rules for the Discursive Dilemma

Aureli Alabert (), Mercè Farré () and Rubén Montes
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Aureli Alabert: Universitat Autònoma de Barcelona
Mercè Farré: Universitat Autònoma de Barcelona
Rubén Montes: Universitat Autònoma de Barcelona

Group Decision and Negotiation, 2023, vol. 32, issue 4, No 6, 889-923

Abstract: 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.

Keywords: Judgment aggregation; Truth tracking; Discursive dilemma; Doctrinal paradox (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10726-023-09828-y

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