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Alejandro Saporiti |
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''A Proof for 'Who is a J' Impossibility Theorem'' |
( 2012, Vol. 32 No.1 ) |
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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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Keywords: Self-determination, group identification, Arrow theorem, social choice. |
JEL: D7 - Analysis of Collective Decision-Making: General |
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Manuscript Received : Nov 10 2011 | | Manuscript Accepted : Feb 03 2012 |
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