The impossibility of unbiased judgment aggregation

Dietrich, Franz and List, Christian ORCID: 0000-0003-1627-800X (2007) The impossibility of unbiased judgment aggregation. . Department of Government, London School of Economics and Political Science, London, UK. (Submitted)

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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 agen- das 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 e¤ectively dictatorial if we remove one of the agenda conditions). Our agenda conditions are tight. Applied illustratively to (strict) preference aggregation repres- ented in our model, the result implies that every unbiased social welfare function with universal domain is e¤ectively dictatorial.

Item Type:	Monograph (Working Paper)
Official URL:	http://personal.lse.ac.uk/list/default.htm
Additional Information:	© 2007 Franz Dietrich and Christian List
Divisions:	Government Philosophy, Logic and Scientific Method CPNSS
Subjects:	B Philosophy. Psychology. Religion > BC Logic
Date Deposited:	29 Jul 2008 08:33
Last Modified:	11 Dec 2024 18:48
URI:	http://eprints.lse.ac.uk/id/eprint/20067

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