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Ricardo Arlegi and Jorge Nieto
''Egalitarianism, Variable Population and Monotonic Critical Level''
( 2012, Vol. 32 No.4 )
This paper explores the introduction of a variable critical-level in a variable population context. We focus the attention on the Critical- Level Leximin criterion, a social evaluation procedure which compares two social states as follows: (i) It reproduces the Leximin criterion when applied to vectors of identical dimension and (ii) otherwise, it completes the smaller one with so many times a variable critical-level as to make the two vectors equal in size and applies the Leximin criterion again. We prove that the use of a strict monotonic critical-level leads to the intransitivity of the social evaluation criterion. This problem disappears when a weaker monotonicity condition is required.
Keywords: Variable population, Leximin, monotonic critical-level
JEL: D7 - Analysis of Collective Decision-Making: General
D6 - Welfare Economics: General
Manuscript Received : Aug 03 2012 Manuscript Accepted : Oct 05 2012

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