Factoring out the impossibility of logical aggregation

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Factoring out the impossibility of logical aggregation

Author Info

Mongin, Philippe ()

Additional information is available for the following registered author(s):

Philippe Mongin

Abstract

According to a theorem recently proved in the theory of logical aggregation, any nonconstant social judgment function that satisfies independence of irrelevant alternatives (IIA) is dictatorial. The author shows that the strong and not very plausible IIA condition can be replaced with a minimal independence assumption plus a Pareto-like condition. This new version of the impossibility theorem likens it to Arrow's and arguably enhances its paradoxical value.

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Publisher Info
Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 854.

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Length: 17 pages
Date of creation: 01 Oct 2006
Date of revision:
Handle: RePEc:ebg:heccah:0854

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Other versions of this item:

Article
- Mongin, Philippe, 2008. "Factoring out the impossibility of logical aggregation," Journal of Economic Theory, Elsevier, vol. 141(1), pages 100-113, July. [Downloadable!] (restricted)
Paper
- Philippe Mongin, 2005. "Factoring Out the Impossibility of Logical Aggregation," Working Papers hal-00243010_v1, HAL. [Downloadable!]

This paper has been announced in the following NEP Reports:

NEP-ALL-2006-12-01 (All new papers)
NEP-CDM-2006-12-01 (Collective Decision-Making)

References listed on IDEAS
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.:

Samuelson, Paul A, 1977. "Reaffirming the Existence of "Reasonable" Bergson-Samuelson Social Welfare Functions," Economica, London School of Economics and Political Science, vol. 44(173), pages 81-88, February. [Downloadable!] (restricted)
Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December. [Downloadable!] (restricted)
Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January. [Downloadable!] (restricted)
Franz Dietrich & Christian List, 2004. "Strategy-proof judgment aggregation," Public Economics 0404007, EconWPA, revised 25 Jul 2005. [Downloadable!]
Other versions:
- Franz Dietrich & Christian List, 2005. "Strategy-proof judgment aggregation," STICERD - Political Economy and Public Policy Paper Series 09, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
Klaus Nehring, 2005. "The (Im)Possibility of a Paretian Rational," Economics Working Papers 0068, Institute for Advanced Study, School of Social Science. [Downloadable!]

Full references

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.)

Franz Dietrich, 2007. "A generalised model of judgment aggregation," Social Choice and Welfare, Springer, vol. 28(4), pages 529-565, June. [Downloadable!] (restricted)
Other versions:
- Franz Dietrich, 2005. "Judgment aggregation in general logics," Public Economics 0505007, EconWPA. [Downloadable!]
Elad Dokow & Ron Holzman, 2009. "Aggregation of binary evaluations for truth-functional agendas," Social Choice and Welfare, Springer, vol. 32(2), pages 221-241, February. [Downloadable!] (restricted)
Dietrich, Franz & Mongin Philippe, 2008. "The Premiss-Based Approach to Judgment Aggregation," Research Memoranda 013, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
Franz Dietrich & Christian List, 2008. "Judgment aggregation without full rationality," Social Choice and Welfare, Springer, vol. 31(1), pages 15-39, June. [Downloadable!] (restricted)
Other versions:
- Dietrich, Franz & List, Christian, 2006. "Judgment aggregation without full rationality," Research Memoranda 032, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
- Dietrich, Franz & List, Christian, 2007. "Judgment aggregation without full rationality," Research Memoranda 023, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
Klaus Nehring & Clemens Puppe, 2008. "Consistent judgement aggregation: the truth-functional case," Social Choice and Welfare, Springer, vol. 31(1), pages 41-57, June. [Downloadable!] (restricted)
Klaus Nehring, 2005. "The (Im)Possibility of a Paretian Rational," Economics Working Papers 0068, Institute for Advanced Study, School of Social Science. [Downloadable!]

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