Egalitarianism, Variable Population and Monotonic Critical Level
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.
Volume (Year): 32 (2012)
Issue (Month): 4 ()
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005.
"Population Issues in Social Choice Theory, Welfare Economics, and Ethics,"
Cambridge University Press, number 9780521825511.
- Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587.
- Ng, Yew-Kwang, 1989. "What Should We Do About Future Generations?," Economics and Philosophy, Cambridge University Press, vol. 5(02), pages 235-253, October.
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