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Dominance Criteria for Critical-Level Generalized Utilitarianism


  • Alain Trannoy

    () (EHESS and GREQAM-IDEP)

  • John Weymark

    () (Department of Economics, Vanderbilt University)


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.

Suggested Citation

  • Alain Trannoy & John Weymark, 2007. "Dominance Criteria for Critical-Level Generalized Utilitarianism," Vanderbilt University Department of Economics Working Papers 0707, Vanderbilt University Department of Economics.
  • Handle: RePEc:van:wpaper:0707

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    References listed on IDEAS

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    More about this item


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

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation

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