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The Premiss-Based Approach to Judgment Aggregation

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Author Info
Dietrich, Franz
Mongin Philippe (METEOR)

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Abstract

We investigate judgment aggregation by assuming that some formulas of the agenda are singled out as premises, and the Independence condition (formula-wise aggregation) holds for them, though perhaps not for others. Whether premise-based aggregation thus defined is non-degenerate depends on how premises are logically connected, both among themselves and with other formulas. We identify necessary and sufficient conditions for dictatorship or oligarchy on the premisses, and investigate when these results extend to the whole agenda. Our theorems recover or strengthen several existing ones and are formulated for infinite populations, an innovation of this paper.

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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 013.

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Date of creation: 2008
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Handle: RePEc:dgr:umamet:2008013

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Keywords: mathematical economics;

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References listed on IDEAS
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  1. A. Heifetz & Ph. Mongin, 1998. "Probability logic for type spaces," THEMA Working Papers 98-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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  2. Mongin, Philippe, 2006. "Factoring out the impossibility of logical aggregation," Les Cahiers de Recherche 854, HEC Paris. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Frederik Herzberg, 2008. "Judgment aggregation functions and ultraproducts," Working Papers 405, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
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  2. Frederik Herzberg, 2009. "Judgment aggregators and Boolean algebra homomorphisms," Working Papers 414, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
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This page was last updated on 2009-11-18.

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