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URN: urn:nbn:de:0030-drops-3330
URL: http://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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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}
}

Keywords: Judgment aggregation, belief merging, preference aggregation, social choice theory
Seminar: 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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