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Arrow’s theorem in judgment aggregation

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Author Info
Franz Dietrich
Christian List

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Abstract

In response to recent work on the aggregation of individual judgments on logicallyconnected propositions into collective judgments, it is often asked whether judgmentaggregation is a special case of Arrowian preference aggregation. We argue the op-posite. After proving a general impossibility result on judgment aggregation, weconstruct an embedding of preference aggregation into judgment aggregation andprove Arrow's theorem as a corollary of our result. Although we provide a new proofof Arrow's theorem, our main aim is to identify the analogue of Arrow's theoremin judgment aggregation, to clarify the relation between judgment and preferenceaggregation and to illustrate the generality of the judgment aggregation model.

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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Political Economy and Public Policy Paper Series with number 13.

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Date of creation: Oct 2005
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Handle: RePEc:cep:stipep:13

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Find related papers by JEL classification:
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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  1. Nehring, Klaus, 2003. "Arrow's theorem as a corollary," Economics Letters, Elsevier, vol. 80(3), pages 379-382, September. [Downloadable!] (restricted)
  2. Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January. [Downloadable!] (restricted)
  3. Franz Dietrich, 2007. "A generalised model of judgment aggregation," Social Choice and Welfare, Springer, vol. 28(4), pages 529-565, June. [Downloadable!] (restricted)
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  1. Christian List, 2007. "Group deliberation and the transformation ofjudgments: an impossibility result," STICERD - Political Economy and Public Policy Paper Series 26, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  2. Dietrich, Franz & List, Christian, 2008. "The aggregation of propositional attitudes: towards a general theory," Research Memoranda 047, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  3. Franz Dietrich & Christian List, 2008. "Judgment aggregation without full rationality," Social Choice and Welfare, Springer, vol. 31(1), pages 15-39, June. [Downloadable!] (restricted)
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  4. Franz Dietrich & Christian List, 2008. "A liberal paradox for judgment aggregation," Social Choice and Welfare, Springer, vol. 31(1), pages 59-78, June. [Downloadable!] (restricted)
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  5. Pivato, Marcus, 2008. "The Discursive Dilemma and Probabilistic Judgement Aggregation," MPRA Paper 8412, University Library of Munich, Germany. [Downloadable!]
  6. Klaus Nehring & Clemens Puppe, 2008. "Consistent judgement aggregation: the truth-functional case," Social Choice and Welfare, Springer, vol. 31(1), pages 41-57, June. [Downloadable!] (restricted)
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