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On the axiomatic characterization of “who is a \(J\)?”. (English) Zbl 1155.91349

Summary: Recent work by A. Kasher and A. Rubinstein [Log. Anal., Nouv. Sér. 40, No. 160, 385–395 (1997; Zbl 0976.91013)] considered the problem of group identification from a social choice perspective. They provided an axiomatic characterization of a liberal aggregator, whereby the group consists of those and only those individuals each of which views oneself a member of the group. In the present paper, we show that the five axioms used in Kasher and Rubinstein’s characterization of the liberal aggregator are not independent and prove that only three of their original axioms are necessary and sufficient for the required characterization.

MSC:

91B14 Social choice
91D10 Models of societies, social and urban evolution

Citations:

Zbl 0976.91013
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