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Introduction to Judgment Aggregation

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introJA.pdf (573.6Kb)
Date
2012
Collection title
Lecture Notes in Computer Science
Collection Id
7388
Dewey
Probabilités et mathématiques appliquées
Sujet
judgment aggregation; preference aggregation
DOI
http://dx.doi.org/10.1007/978-3-642-31485-8_5
Conference name
ESSLLI 2011
Conference date
08-2011
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
Author
Bezhanishvili, Nick; Goranko, Valentin
Publisher
Springer
Publisher city
Berlin
Year
2012
Pages number
265
ISBN
978-3-642-31484-1
Book URL
http://dx.doi.org/10.1007/978-3-642-31485-8
URI
https://basepub.dauphine.fr/handle/123456789/11673
Collections
  • CEREMADE : Publications
Metadata
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Author
Grossi, Davide
84550 Institute for Logic, Language and Computation [ILLC]
Pigozzi, Gabriella
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Communication / Conférence
Item number of pages
160-209
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)

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