2026-07-23T08:19:34Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:1216 2024-03-06T11:07:41Z ddc:004 open_access

Premise Independence in Judgment Aggregation Pigozzi, Gabriella van der Torre, Leendert Judgment aggregation social choice theory Judgment aggregation studies how agent opinions on logically interconnected propositions can be mapped into a collective judgment on the same propositions, and is plagued by impossibility results. In this paper we study the central notion of independence in these impossibility results. First, we argue that the distinction between the premises and conclusions play an important role in the benchmark examples of judgment aggregation. Second, we consider the notion of independence in judgment aggregation frameworks, and we observe that the distinction between premises and conclusion is not taken into account. Third, based on our analysis, we introduce independence assumptions that distinguish premises from conclusion. We show that, by introducing new operators that satisfy our independence assumptions, the problematic impossibility results no longer hold. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Gabriella Pigozzi and Leendert van der Torre 2007 Is Part Of Dagstuhl Seminar Proceedings, Volume 7351, Formal Models of Belief Change in Rational Agents (2007) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.07351.16 urn:nbn:de:0030-drops-12161 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07351.16 eng https://creativecommons.org/licenses/by/4.0/legalcode