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Introduction to Judgment Aggregation

Grossi, Davide; Pigozzi, Gabriella (2012), Introduction to Judgment Aggregation, in Bezhanishvili, Nick; Goranko, Valentin, Lectures on Logic and Computation ESSLLI 2010, Copenhagen, Denmark, August 2010, ESSLLI 2011, Ljubljana, Slovenia, August 2011, Selected Lecture Notes, Springer : Berlin, p. 160-209. 10.1007/978-3-642-31485-8_5

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introJA.pdf (573.6Kb)
Type
Communication / Conférence
Date
2012
Conference title
ESSLLI 2011
Conference date
2011-08
Conference city
Ljubljana
Conference country
Slovenia
Book title
Lectures on Logic and Computation ESSLLI 2010, Copenhagen, Denmark, August 2010, ESSLLI 2011, Ljubljana, Slovenia, August 2011, Selected Lecture Notes
Book author
Bezhanishvili, Nick; Goranko, Valentin
Publisher
Springer
Series title
Lecture Notes in Computer Science
Series number
7388
Published in
Berlin
ISBN
978-3-642-31484-1
Number of pages
265
Pages
160-209
Publication identifier
10.1007/978-3-642-31485-8_5
Metadata
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Author(s)
Grossi, Davide
Institute for Logic, Language and Computation [ILLC]
Pigozzi, Gabriella
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
The present notes serve as material for the course Introduction to Judgment Ag- gregation to be given at the 23rd European Summer School on Logic, Language and Information (ESSLLI'11, Ljubljana). The notes are structured as follows: Section 1 introduces the field of judgment aggregation, its relations to preference aggregation and some formal preliminaries. Section 2 shows that the paradox that originated judgment aggregation is not a problem limited to propositionwise majority voting but a more general issue, illustrated by an impossibility theorem of judgment aggregation that is here proven. The relaxation of some conditions used in impossibility results in judgment aggregation may lead to escape routes from the impossibility theorems. These escape routes are explored in Section 3. Section 4 presents the issue of manipulation that arises when voters strategically misrepresent their true vote in order to force a different outcome in the aggregation process. Finally, we conclude by sketching a list of on-going research in the field of judgment aggregation (Section 5)
Subjects / Keywords
judgment aggregation; preference aggregation

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