English

Optimal Decision Rules for the Discursive Dilemma

Optimization and Control 2022-10-25 v1 Probability Applications

Abstract

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.

Cite

@article{arxiv.2210.13100,
  title  = {Optimal Decision Rules for the Discursive Dilemma},
  author = {Aureli Alabert and Mercè Farré and Rubén Montes},
  journal= {arXiv preprint arXiv:2210.13100},
  year   = {2022}
}

Comments

29 pages, 6 figures

R2 v1 2026-06-28T04:20:31.372Z