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Variable population egalitarian ethics and the critical-level: A note

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This paper explores the introduction of a variable critical-level in a variable population context. We focus the attention on the "Critical- Level Egalitarian Ruleî, 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 small 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 rule. This problem disappears when a weak monotonicity condition is required.

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File URL: ftp://ftp.econ.unavarra.es/pub/DocumentosTrab/DT0013.PDF
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Bibliographic Info

Paper provided by Departamento de Economía - Universidad Pública de Navarra in its series Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra with number 0013.

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Length: 13 pages
Date of creation: 2000
Date of revision:
Publication status: Published in
Handle: RePEc:nav:ecupna:0013

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Keywords: variable population; leximin; critical-level;

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  1. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-20, November.
  2. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1996. "Leximin population ethics," Mathematical Social Sciences, Elsevier, vol. 31(2), pages 115-131, April.
  3. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
  4. Bossert, Walter, 1990. "Social evaluation with variable population size: an alternative concept," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 143-158, April.
  5. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  6. Walter Bossert & David Donaldson & Charles Blackorby, 1998. "Uncertainty and critical-level population principles," Journal of Population Economics, Springer, vol. 11(1), pages 1-20.
  7. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1997. "Birth-Date Dependent Population Ethics: Critical-Level Principles," Journal of Economic Theory, Elsevier, vol. 77(2), pages 260-284, December.
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