Arrow’s theorem in judgment aggregation
AbstractIn 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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Date of creation: 04 Nov 2005
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- Franz Dietrich & Christian List, 2005. "Arrow’s theorem in judgment aggregation," STICERD - Political Economy and Public Policy Paper Series, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE 13, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Franz Dietrich & Christian List, 2005. "Arrow's Theorem in Judgement Aggregation," Public Economics, EconWPA 0504007, EconWPA, revised 10 Sep 2005.
- Franz Dietrich & Christian List, 2005. "Arrow’s theorem in judgment aggregation," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 19295, London School of Economics and Political Science, LSE Library.
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- Franz Dietrich, 2005.
"Judgment aggregation in general logics,"
Public Economics, EconWPA
- 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.
- Nehring, Klaus, 2003. "Arrow's theorem as a corollary," Economics Letters, Elsevier, Elsevier, vol. 80(3), pages 379-382, September.
- Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, Elsevier, vol. 126(1), pages 286-298, January.
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