AbstractAuthor's abstract. Judgment aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of barely judgments of preference. The paper briefly sums it up, privileging the variant that formalizes judgment by a logical syntax. The theory derives from Kornhauser and Sager’s doctrinal paradox and Pettit’s discursive dilemma, which List and Pettit turned into an impossibility theorem - the first of a long list to come. After mentioning this stage, the paper restates three theorems that are representative of the current work, by Nehring and Puppe, Dokow and Holzman, and Dietrich and Mongin,respectively, and it concludes by explaining how Dietrich and List have recovered Arrow’s theorem as a particular application of the theory.
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Bibliographic InfoPaper provided by HEC Paris in its series Les Cahiers de Recherche with number 942.
Length: 15 pages
Date of creation: 01 Feb 2011
Date of revision:
judgment aggregation; logical aggregation; doctrinal paradox; discursive dilemma; social choice theory;
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
- D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other
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- Mongin, Philippe, 2006.
"Factoring out the impossibility of logical aggregation,"
Les Cahiers de Recherche
854, HEC Paris.
- Mongin, Philippe, 2008. "Factoring out the impossibility of logical aggregation," Journal of Economic Theory, Elsevier, vol. 141(1), pages 100-113, July.
- Philippe Mongin, 2005. "Factoring Out the Impossibility of Logical Aggregation," Working Papers hal-00243010, HAL.
- Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January.
- Nehring, Klaus & Puppe, Clemens, 2010. "Abstract Arrowian aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 467-494, March.
- Heifetz, Aviad & Mongin, Philippe, 2001.
"Probability Logic for Type Spaces,"
Games and Economic Behavior,
Elsevier, vol. 35(1-2), pages 31-53, April.
- A. Heifetz & Ph. Mongin, 1998. "Probability logic for type spaces," THEMA Working Papers 98-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Heifetz, A. & Mongin, P., 1998. "Probability Logic for Type Spaces," Papers 9825, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- 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.
- Dietrich, Franz & List, Christian, 2006.
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032, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Franz Dietrich & Philippe Mongin, 2010.
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LSE Research Online Documents on Economics
27896, London School of Economics and Political Science, LSE Library.
- Dietrich, Franz & Mongin, Philippe, 2010. "The premiss-based approach to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 562-582, March.
- Dietrich, Franz & Mongin Philippe, 2008. "The Premiss-Based Approach to Judgment Aggregation," Research Memorandum 013, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Elad Dokow & Ron Holzman, 2009. "Aggregation of binary evaluations for truth-functional agendas," Social Choice and Welfare, Springer, vol. 32(2), pages 221-241, February.
- Klaus Nehring & Clemens Puppe, 2008. "Consistent judgement aggregation: the truth-functional case," Social Choice and Welfare, Springer, vol. 31(1), pages 41-57, June.
- Franz Dietrich, 2005.
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- Wilson, Robert, 1975. "On the theory of aggregation," Journal of Economic Theory, Elsevier, vol. 10(1), pages 89-99, February.
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