Aggregation theory and the relevance of some issues to others

Franz Dietrich

Journal of Economic Theory, 2015, vol. 160, issue C, 463-493

Abstract: I propose a relevance-based independence axiom on how to aggregate individual yes/no judgments on given propositions into collective judgments: the collective judgment on a proposition depends only on people's judgments on propositions which are relevant to that proposition. This axiom contrasts with the classical independence axiom: the collective judgment on a proposition depends only on people's judgments on the same proposition. I generalize the premise-based rule and the sequential-priority rule to an arbitrary priority order of the propositions, instead of a dichotomous premise/conclusion order resp. a linear priority order. 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 well-known Arrow-like theorem in judgment aggregation.

Keywords: Judgment aggregation; Generalized Arrow theorem; Generalized premise-based and sequential-priority rules; Priority graph; Aggregation of non-binary evaluations (search for similar items in EconPapers)
JEL-codes: D70 D71 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (14)

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Related works:
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 (2014)
Working Paper: Aggregation theory and the relevance of some issues to others (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:160:y:2015:i:c:p:463-493

DOI: 10.1016/j.jet.2015.03.012

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