Eckert, Daniel ;
Pigozzi, Gabriella
Belief merging, judgment aggregation and some links with social choice theory
Abstract
In this paper we explore the relation between three areas: judgment
aggregation, belief merging and social choice theory. Judgment aggregation
studies how to aggregate individual judgments on logically interconnected
propositions into a collective decision on the same propositions. When
majority voting is applied to some propositions (the premises) it may however
give a different outcome than majority voting applied to another set of
propositions (the conclusion). Starting from this so-called doctrinal paradox,
the paper surveys the literature on judgment aggregation (and its relation to
preference aggregation), and shows that the application of a well known belief
merging operator can dissolve the paradox. Finally, the use of distances is
shown to establish a link between belief merging and preference aggregation in
social choice theory.
BibTeX - Entry
@InProceedings{eckert_et_al:DSP:2005:333,
author = {Daniel Eckert and Gabriella Pigozzi},
title = {Belief merging, judgment aggregation and some links with social choice theory},
booktitle = {Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics},
year = {2005},
editor = {James Delgrande and Jerome Lang and Hans Rott and Jean-Marc Tallon},
number = {05321},
series = {Dagstuhl Seminar Proceedings},
ISSN = {1862-4405},
publisher = {Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2005/333},
annote = {Keywords: Judgment aggregation, belief merging, preference aggregation, social choice theory}
}
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Keywords: |
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Judgment aggregation, belief merging, preference aggregation, social choice theory |
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Seminar: |
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05321 - Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics
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Issue date: |
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2005 |
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Date of publication: |
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21.11.2005 |
21.11.2005
