Aggregation theory and the relevance of some issues to others

Franz Dietrich

MPRA Paper from University Library of Munich, Germany

Abstract: I propose a new axiom on the aggregation of individual yes/no judgments on propositions into collective judgments: each collective judgment depends only on people's judgments on 'relevant' propositions. This contrasts with classical independence: each collective judgment depends only on people's judgments on the 'current' proposition. I generalize the premise-based and sequential-priority rules to an arbitrary priority structure over propositions, instead of a dichotomous premise/conclusion structure or a linear order of priority. I prove four impossibility theorems on relevance-based aggregation. One theorem simultaneously generalizes Arrow's Theorem (in its general and indifference-free versions) and the Arrow-type theorem in judgment aggregation.

Keywords: judgment aggregation; relevance connections vs. logical connections between issues; generalized Arrow theorem; premise-based rule; sequential priority rule; general priority rule; priority graph; aggregation of non-binary evaluations (search for similar items in EconPapers)
JEL-codes: D70 D71 (search for similar items in EconPapers)
Date: 2006-12, Revised 2014-09
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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https://mpra.ub.uni-muenchen.de/58870/1/MPRA_paper_58870.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/63250/1/MPRA_paper_63250.pdf revised version (application/pdf)

Related works:
Journal Article: Aggregation theory and the relevance of some issues to others (2015)
Working Paper: Aggregation theory and the relevance of some issues to others (2015)
Working Paper: Aggregation theory and the relevance of some issues to others (2015)
Working Paper: Aggregation theory and the relevance of some issues to others (2015)
Working Paper: Aggregation theory and the relevance of some issues to others (2007)
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