The impossibility of unbiased judgment aggregation
AbstractStandard impossibility theorems on judgment aggregation over logically connected propositions either use a controversial systematicity condition or apply only to agendas of propositions with rich logical connections. Are there any serious impossibilities without these restrictions? We prove an impossibility theorem without systematicity that applies to most standard agendas: Every judgment aggregation function (with rational inputs and outputs) satisfying a condition called unbiasedness is dictatorial (or effectively dictatorial if we remove one of the agenda conditions). Our agenda conditions are tight. Applied illustratively to (strict) preference aggregation represented in our model, the result implies that every unbiased social welfare function with universal domain is effectively dictatorial.
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Bibliographic InfoArticle provided by Springer in its journal Theory and Decision.
Volume (Year): 68 (2010)
Issue (Month): 3 (March)
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Web page: http://www.springerlink.com/link.asp?id=100341
Judgment aggregation; Logic; Impossibility; May’s neutrality;
Other versions of this item:
- Dietrich, Franz & List, Christian, 2007. "The impossibility of unbiased judgment aggregation," Research Memorandum 022, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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