Judgment aggregation with consistency alone
Abstract
All existing impossibility theorems on judgment aggregation require individual and collective judgment sets to be consistent and complete (in some recent results with completeness relaxed to deductive closure), arguably a demanding rationality requirement. They do not carry over to aggregation functions mapping profiles of (merely) consistent individual judgment sets to (merely) consistent collective ones. We prove that, whenever the agenda of propositions under consideration exhibits mild interconnections, any such aggregation function that is "neutral" between the acceptance and rejection of each proposition is dictatorial. We relate this theorem to the literature.Download Info
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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 021.Length:
Date of creation: 2007
Date of revision:
Handle: RePEc:dgr:umamet:2007021
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Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm
Related research
Keywords: mathematical economics;This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-08-27 (All new papers)
- NEP-CDM-2007-08-27 (Collective Decision-Making)
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Christian List & Ben Polak, 2010.
"Introduction to Judgment Aggregation,"
Cowles Foundation Discussion Papers
1753, Cowles Foundation for Research in Economics, Yale University.
- List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
- Christian List & Ben Polak, 2010. "Introduction to Judgment Aggregation," Levine's Working Paper Archive 661465000000000006, David K. Levine.
- García-Bermejo, Juan Carlos, 2012. "A Pooling Approach to Judgment Aggregation," Working Papers in Economic Theory 2012/01, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
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