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

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