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Inequality, welfare and monotonicity

  • Yoram Amiel
  • Frank Cowell

We stablish a general relationship between the standard form of the individualistic social-welfare function and the "reduced-form" version that is expressed in terms of inequality and mean income. This shows the relationship between the property of monotonicity and the slope of the equity-efficient trade-off. Particularly simple results are available for a large class of inequality measures that includes the Gini. These results do not require differentiability of the social-welfare function.

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File URL: http://eprints.lse.ac.uk/2222/
File Function: Open access version.
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Paper provided by London School of Economics and Political Science, LSE Library in its series LSE Research Online Documents on Economics with number 2222.

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Length: 21 pages
Date of creation: Feb 1997
Date of revision:
Handle: RePEc:ehl:lserod:2222
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  1. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
  2. Amiel, Yoram & Cowell, Frank, 1994. "Monotonicity, dominance and the Pareto principle," Economics Letters, Elsevier, vol. 45(4), pages 447-450, August.
  3. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
  4. Creedy, John & Wilhelm, Mark, 2002. "Income Mobility, Inequality and Social Welfare," Australian Economic Papers, Wiley Blackwell, vol. 41(2), pages 140-50, June.
  5. Porath Elchanan Ben & Gilboa Itzhak, 1994. "Linear Measures, the Gini Index, and The Income-Equality Trade-off," Journal of Economic Theory, Elsevier, vol. 64(2), pages 443-467, December.
  6. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, March.
  7. Chakravarty, Satya R, 1988. "Extended Gini Indices of Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 147-56, February.
  8. Dagum, Camilo, 1990. "On the relationship between income inequality measures and social welfare functions," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 91-102.
  9. Donaldson, David & Weymark, John A., 1983. "Ethically flexible gini indices for income distributions in the continuum," Journal of Economic Theory, Elsevier, vol. 29(2), pages 353-358, April.
  10. Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-36, February.
  11. Chipman, John S., 1974. "The welfare ranking of Pareto distributions," Journal of Economic Theory, Elsevier, vol. 9(3), pages 275-282, November.
  12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  13. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  14. Kondor, Yaakov, 1975. "Value Judgements Implied by the Use of Various Measures of Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 21(3), pages 309-21, September.
  15. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  16. Newbery, David, 1970. "A theorem on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 264-266, September.
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