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Dominance Criteria for Critical-Level Generalized Utilitarianism

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Author Info

  • Alain Trannoy

    ()
    (EHESS and GREQAM-IDEP)

  • John Weymark

    ()
    (Department of Economics, Vanderbilt University)

Abstract

Social welfare dominance criteria based on critical-level generalized utilitarian social welfare functions are investigated. An analogue of a generalized Lorenz curve called a generalized concentration curve is introduced. For a fixed critical utility level c, a partial order of utility distributions based on these curves is defined and shown to coincide with the partial order obtained by declaring one utility distribution to be weakly preferred to a second if and only if the former is weakly preferred to the latter for all inequality averse critical-level c generalized utilitarian social welfare functions. An extension of this result that allows for a range of critical levels is also established.

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File URL: http://www.accessecon.com/pubs/VUECON/vu07-w07.pdf
File Function: First version, 2007
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Bibliographic Info

Paper provided by Vanderbilt University Department of Economics in its series Vanderbilt University Department of Economics Working Papers with number 0707.

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Date of creation: May 2007
Date of revision:
Handle: RePEc:van:wpaper:0707

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Web page: http://www.vanderbilt.edu/econ/wparchive/index.html

Related research

Keywords: Critical-level utilitarianism; generalized Lorenz dominance; social welfare dominance;

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References

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  1. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Rothschild, Michael & Stiglitz, Joseph E., 1973. "Some further results on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 188-204, 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. Blackorby, C. & Bossert, W. & Donaldson, D., 2001. "The Axiomatic Approach to Population Ethics," Cahiers de recherche 2001-06, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. Charles Blackorby & Walter Bossert & David Donaldson, 1996. "Quasi-orderings and population ethics," Social Choice and Welfare, Springer, vol. 13(2), pages 129-150, April.
  6. Broome, John, 2006. "Weighing Lives," OUP Catalogue, Oxford University Press, number 9780199297702.
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Cited by:
  1. Peter Lambert & Ivica Urban, 2010. "Miodrag Tomić’s 1949 article on inequalities," Journal of Economic Inequality, Springer, vol. 8(1), pages 121-122, March.
  2. Ronny Aboudi & Dominique Thon & Stein Wallace, 2010. "Inequality comparisons when the populations differ in size," Journal of Economic Inequality, Springer, vol. 8(1), pages 47-70, March.

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