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Optimal Decision Rules for the Discursive Dilemma
Aureli Alabert, Mercè Farré, Rubén Montes · 2022-10-24 · via math.PR updates on arXiv.org

We study the classical discursive dilemma 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.

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