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Arrow’s theorem in judgment aggregation

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  • Franz Dietrich
  • Christian List

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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File URL: http://sticerd.lse.ac.uk/dps/pepp/PEPP13.pdf
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Bibliographic Info

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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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp

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  1. Franz Dietrich, 2007. "A generalised model of judgment aggregation," Social Choice and Welfare, Springer, vol. 28(4), pages 529-565, June.
  2. Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January.
  3. 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.
  4. Nehring, Klaus, 2003. "Arrow's theorem as a corollary," Economics Letters, Elsevier, vol. 80(3), pages 379-382, September.
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