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

Eckert, Daniel; Pigozzi, Gabriella

doi:10.4230/DagSemProc.05321.8

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

Authors Daniel Eckert, Gabriella Pigozzi

Part of: Volume: Dagstuhl Seminar Proceedings, Volume 5321
Part of: Series: Dagstuhl Seminar Proceedings (DagSemProc)
License: Creative Commons Attribution 4.0 International license
Publication Date: 2005-11-21

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Document Identifiers

DOI: 10.4230/DagSemProc.05321.8
URN: urn:nbn:de:0030-drops-3330

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Keywords

Judgment aggregation
belief merging
preference aggregation
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.

Cite As Get BibTex

Daniel Eckert and Gabriella Pigozzi. Belief merging, judgment aggregation and some links with social choice theory. In Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics. Dagstuhl Seminar Proceedings, Volume 5321, pp. 1-14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005) https://doi.org/10.4230/DagSemProc.05321.8

Author Details

Daniel Eckert

Gabriella Pigozzi

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