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A Proof for 'Who is a J' Impossibility Theorem

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  • Alejandro Saporiti

Abstract

In the analysis of group identification, Kasher and Rubinstein (1997), Logique Analyse 160, 385-395, have shown that any method to aggregate the opinions of a group of agents about the individuals in the group that posses a specific attribute, such as race, nationality, profession, etc., must be dictatorial or, otherwise, it must violate either consensus or independence. This result is known in the literature as 'Who is a J' impossibility theorem. This note enhances slightly the result by weakening the axiom consensus, and it offers a direct proof of the theorem based on the structure of the family of decisive coalitions.
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Suggested Citation

  • Alejandro Saporiti, 2011. "A Proof for 'Who is a J' Impossibility Theorem," Economics Discussion Paper Series 1117, Economics, The University of Manchester.
    • Handle: RePEc:man:sespap:1117
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    References listed on IDEAS

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    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    2. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    3. Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
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    Cited by:

    1. Alcantud, José Carlos R. & Laruelle, Annick, 2018. "Collective identity functions with status quo," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 159-166.
    2. Federico Fioravanti & Fernando Tohm'e, 2019. "Alternative Axioms in Group Identification Problems," Papers 1912.05961, arXiv.org.
    3. Wonki Jo Cho & Alejandro Saporiti, 2015. "Incentives, Fairness, and Efficiency in Group Identification," Economics Discussion Paper Series 1501, Economics, The University of Manchester.

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    More about this item

    JEL classification:

    • D0 - Microeconomics - - General
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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