Propositionwise judgment aggregation: the general case
AbstractIn the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and propositionwise independence. But it is only partially known (e.g., only in the monotonic case) for which agendas it is possible to respect additional requirements, notably non-oligarchy, anonymity, no individual veto power, or extended unanimity preservation. We fully characterize the agendas for which there are such possibilities, thereby answering the most salient open questions about propositionwise judgment aggregation. Our results build on earlier results by Nehring and Puppe (Strategy-proof social choice on single-peaked domains: possibility, impossibility and the space between, 2002 ), Nehring (Oligarchies in judgment aggregation: a characterization, 2006 ), Dietrich and List (Soc Choice Welf 29(1):19–33, 2007a ) and Dokow and Holzman (J Econ Theory 145(2):495–511, 2010a ). Copyright The Author(s) 2013
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 40 (2013)
Issue (Month): 4 (April)
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- Dietrich, Franz & List, Christian, 2007.
"Judgment aggregation without full rationality,"
023, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- 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, vol. 80(3), pages 379-382, September.
- Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
- Michael Miller & Daniel Osherson, 2009. "Methods for distance-based judgment aggregation," Social Choice and Welfare, Springer, vol. 32(4), pages 575-601, May.
- Franz Dietrich, 2005.
"Judgment aggregation in general logics,"
- 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 & Mongin Philippe, 2008.
"The Premiss-Based Approach to Judgment Aggregation,"
013, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Dietrich, Franz & Mongin, Philippe, 2010. "The premiss-based approach to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 562-582, March.
- Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
- Marcus Pivato, 2009. "Geometric models of consistent judgement aggregation," Social Choice and Welfare, Springer, vol. 33(4), pages 559-574, November.
- Klaus Nehring & Clemens Puppe, 2008. "Consistent judgement aggregation: the truth-functional case," Social Choice and Welfare, Springer, vol. 31(1), pages 41-57, June.
- repec:ner:maastr:urn:nbn:nl:ui:27-15416 is not listed on IDEAS
- Dietrich, Franz, 2013. "Judgment aggregation and agenda manipulation," MPRA Paper 51775, University Library of Munich, Germany.
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