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Arrow's Theorem in Judgement Aggregation

Franz Dietrich and Christian List

Public Economics from University Library of Munich, Germany

Abstract: In response to recent work on the aggregation of individual judgements on logically connected propositions into collective judgements, it is often asked whether judgement aggregation is a special case of Arrowian preference aggregation. We argue the opposite. After proving a general impossibility theorem, we construct an embedding of preference aggregation into judgement aggregation and prove Arrow's theorem as a corollary of our result. Although we provide a new proof of Arrow's theorem, our main aim is to identify the analogue of Arrow's theorem in judgement aggregation, to clarify the relation between judgement and preference aggregation and to illustrate the generality of the judgement aggregation model.

Keywords: judgement aggregation; formal logic; preference aggregation; Arrow's Theorem; discursive dilemma (search for similar items in EconPapers)
JEL-codes: D70 D71 (search for similar items in EconPapers)
Pages: 10 pages
Date: 2005-04-22, Revised 2005-09-10
New Economics Papers: this item is included in nep-dcm
Note: Type of Document - pdf; pages: 10
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Citations: View citations in EconPapers (10) Track citations by RSS feed

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Related works:
Journal Article: Arrow’s theorem in judgment aggregation (2007) Downloads
Working Paper: Arrow’s theorem in judgment aggregation (2005) Downloads
Working Paper: Arrow’s theorem in judgment aggregation (2005) Downloads
Working Paper: Arrow’s theorem in judgment aggregation (2005) Downloads
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