A Proof for 'Who is a J' Impossibility Theorem
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.
(This abstract was borrowed from another version of this item.)
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- Samet, Dov & Schmeidler, David, 2003.
"Between liberalism and democracy,"
Journal of Economic Theory,
Elsevier, vol. 110(2), pages 213-233, June.
- David Schmeidler, 1998. "Between Liberalism and Democracy," Working Papers 98-18, Ohio State University, Department of Economics.
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- Dov Samet & David Schmeidler, 1999. "Between Liberalism and Democracy," Game Theory and Information 9908001, EconWPA.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, April.
- Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February. Full references (including those not matched with items on IDEAS)
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