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Judgment aggregation rules based on minimization

Lang, Jérôme; Pigozzi, Gabriella; Slavkovik, Marija; van der Torre, Leendert (2011), Judgment aggregation rules based on minimization, in Association for Computing Machinery, TARK XIII, ACM, p. 238-246

Type
Communication / Conférence
Date
2011
Conference country
NETHERLANDS
Book title
TARK XIII
Book author
Association for Computing Machinery
Publisher
ACM
ISBN
978-1-4503-0707-9
Pages
238-246
Metadata
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Author(s)
Lang, Jérôme
Pigozzi, Gabriella
Slavkovik, Marija
van der Torre, Leendert
Abstract (EN)
Many voting rules are based on some minimization principle. Likewise, in the field of logic-based knowledge representation and reasoning, many belief change or inconsistency handling operators also make use of minimization. Surprisingly, minimization has not played a major role in the field of judgment aggregation, in spite of its proximity to voting theory and logic-based knowledge representation and reasoning. Here we make a step in this direction and study six judgment aggregation rules; two of them, based on distances, have been previously defined; the other four are new, and all inspired both by voting theory and knowledge representation and reasoning. We study the inclusion relationships between these rules and address some of their social choice theoretic properties.
Subjects / Keywords
Multiagent systems; voting; minimization; Judgment aggregation