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The impossibility of unbiased judgment aggregation

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Author Info
Dietrich, Franz
List, Christian (METEOR)

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Abstract

Standard 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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Publisher Info
Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 022.

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Date of creation: 2007
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Handle: RePEc:dgr:umamet:2007022

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Keywords: mathematical economics;

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This page was last updated on 2009-12-16.


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