TY - JOUR
T1 - Optimal Decision Rules for the Discursive Dilemma
AU - Alabert, Aureli
AU - Farré, Mercè
AU - Montes, Rubén
N1 - Publisher Copyright:
© 2023, The Author(s).
PY - 2023/4/27
Y1 - 2023/4/27
N2 - 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.
AB - 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.
KW - Discursive dilemma
KW - Doctrinal paradox
KW - Judgment aggregation
KW - Truth tracking
UR - https://www.scopus.com/pages/publications/85153712302
UR - http://arxiv.org/abs/2210.13100
UR - https://www.mendeley.com/catalogue/b73f72ec-b291-3e60-9b52-61655fbe8876/
U2 - 10.1007/s10726-023-09828-y
DO - 10.1007/s10726-023-09828-y
M3 - Article
AN - SCOPUS:85153712302
SN - 0926-2644
VL - 32
SP - 889
EP - 923
JO - Group Decision and Negotiation
JF - Group Decision and Negotiation
IS - 4
ER -