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Dos familias numerables de medidas de desigualdad

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Author Info

  • Luis José Imedio Olmedo

    (Universidad de Málaga)

  • Elena Bárcena Martín

    (Universidad de Málaga)

Abstract

En este trabajo se estudian dos familias numerables de índices de desigualdad que se obtienen como transformaciones lineales de los momentos respecto del origen de la curva de Lorenz y de su curva dual, al considerar tales curvas como funciones de distribución. Se presenta una visión unificada de ambas familias, tratando de clarificar su paralelismo y divergencia. En el ámbito normativo, se obtienen las funciones de preferencia social que relacionan bienestar y desigualdad. Ello permite, por una parte, analizar su grado de aversión a la desigualdad y, por otra, establecer las condiciones bajo las cuales los índices satisfacen el Principio de Transferencias Decrecientes y/o su versión posicional.

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Bibliographic Info

Article provided by Fundación SEPI in its journal Investigaciones Económicas.

Volume (Year): 31 (2007)
Issue (Month): 1 (January)
Pages: 191-217

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Handle: RePEc:iec:inveco:v:31:y:2007:i:1:p:191-217

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Postal: Investigaciones Economicas Fundación SEPI Quintana, 2 (planta 3) 28008 Madrid Spain
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Related research

Keywords: Caracterización de la curva de Lorenz; aversión a la desigualdad; principios de transferencias.;

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References

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  1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  2. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-09, July.
  3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  4. 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.
  5. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
  6. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
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  8. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  9. 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.
  10. Elchanan Ben Porath & Itzhak Gilboa, 1991. "Linear Measures, the Gini Index and the Income-Equality Tradeoff," Discussion Papers 944, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  12. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March.
  13. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
  14. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer, vol. 17(4), pages 639-653.
  15. Newbery, David, 1970. "A theorem on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 264-266, September.
  16. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-46, March.
  17. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
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