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DOI: 10.4230/DagSemProc.05321.8
URN: urn:nbn:de:0030-drops-3330
URL: https://drops.dagstuhl.de/opus/volltexte/2005/333/
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Eckert, Daniel ; Pigozzi, Gabriella

Belief merging, judgment aggregation and some links with social choice theory

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05321.PigozziGabriella1.Paper.333.pdf (0.2 MB)


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:DagSemProc.05321.8,
  author =	{Eckert, Daniel and Pigozzi, Gabriella},
  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},
  pages =	{1--14},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{5321},
  editor =	{James Delgrande and Jerome Lang and Hans Rott and Jean-Marc Tallon},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2005/333},
  URN =		{urn:nbn:de:0030-drops-3330},
  doi =		{10.4230/DagSemProc.05321.8},
  annote =	{Keywords: Judgment aggregation, belief merging, preference aggregation, social choice theory}
}

Keywords: Judgment aggregation, belief merging, preference aggregation, social choice theory
Collection: 05321 - Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics
Issue Date: 2005
Date of publication: 21.11.2005


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