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Arrow's Theorem in Judgement Aggregation

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Author Info

  • Franz Dietrich
  • Christian List

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.

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File URL: http://128.118.178.162/eps/pe/papers/0504/0504007.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Public Economics with number 0504007.

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Length: 10 pages
Date of creation: 22 Apr 2005
Date of revision: 10 Sep 2005
Handle: RePEc:wpa:wuwppe:0504007

Note: Type of Document - pdf; pages: 10
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Web page: http://128.118.178.162

Related research

Keywords: judgement aggregation; formal logic; preference aggregation; Arrow's Theorem; discursive dilemma;

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  1. Franz Dietrich, 2005. "Judgment aggregation in general logics," Public Economics 0505007, EconWPA.
  2. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
  3. Nehring, Klaus, 2003. "Arrow's theorem as a corollary," Economics Letters, Elsevier, vol. 80(3), pages 379-382, September.
  4. Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Open Access publications from Maastricht University urn:nbn:nl:ui:27-15418, Maastricht University.
  5. Christian List, 2005. "The probability of inconsistencies in complex collective decisions," Social Choice and Welfare, Springer, vol. 24(1), pages 3-32, 05.
  6. Dietrich, Franz, 2007. "A generalised model of judgment aggregation," Open Access publications from Maastricht University urn:nbn:nl:ui:27-15416, Maastricht University.
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