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Factoring out the impossibility of logical aggregation

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  • Mongin, Philippe

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.

Suggested Citation

  • Mongin, Philippe, 2006. "Factoring out the impossibility of logical aggregation," HEC Research Papers Series 854, HEC Paris.
    • Handle: RePEc:ebg:heccah:0854
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    References listed on IDEAS

    as
    1. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(1), pages 89-110, April.
    2. Dietrich, Franz & List, Christian, 2007. "Strategy-Proof Judgment Aggregation," Economics and Philosophy, Cambridge University Press, vol. 23(3), pages 269-300, November.
    3. repec:bla:econom:v:44:y:1977:i:173:p:81-88 is not listed on IDEAS
    4. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    5. Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January.
    6. Klaus Nehring, 2005. "The (Im)Possibility of a Paretian Rational," Economics Working Papers 0068, Institute for Advanced Study, School of Social Science.
    Full references (including those not matched with items on IDEAS)

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    Keywords

    logical aggregation;

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