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Lorenz non-consistent welfare and inequality measurement

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  • Alain Chateauneuf

    ()

  • Patrick Moyes

    ()

Abstract

Typical welfare and inequality measures are required to be Lorenz consistent which guarantees that inequality decreases and welfare increases as a result of a progressive transfer. We explore the implications for welfare and inequality measurement of substituting the weaker absolute differentials and deprivation quasi-orderings for the Lorenz quasi-ordering. Restricting attention to distributions of equal means, we show that the utilitarian model – the so-called expected utility model in the theory of risk – does not permit one to make a distinction between the views embedded in the differentials, deprivation and Lorenz quasi-orderings. In contrast it is possible within the dual model of M. Yaari (Econometrica 55 (1987), 99–115) to derive the restrictions to be placed on the weighting function which guarantee that the corresponding welfare orderings are consistent with the differentials and deprivation quasi-orderings respectively. Finally we drop the equal mean condition and indicate the implications of our approach for the absolute ethical inequality indices. Copyright Kluwer Academic Publishers 2004

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Bibliographic Info

Article provided by Springer in its journal The Journal of Economic Inequality.

Volume (Year): 2 (2004)
Issue (Month): 2 (August)
Pages: 61-87

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Handle: RePEc:kap:jecinq:v:2:y:2004:i:2:p:61-87

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Web page: http://springerlink.metapress.com/link.asp?id=111137

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Keywords: deprivation; dual model of choice under risk; expected utility; generalized Gini social welfare functions; income differentials; Lorenz dominance;

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  1. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 567-73, November.
  2. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  3. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-97, October.
  4. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  5. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
  6. Fields, Gary S & Fei, John C H, 1978. "On Inequality Comparisons," Econometrica, Econometric Society, vol. 46(2), pages 303-16, March.
  7. Udo Ebert & Patrick Moyes, 2002. "Welfare, inequality and the transformation of incomes the case of weighted income distributions," Journal of Economics, Springer, vol. 9(1), pages 9-50, December.
  8. Gaertner, Wulf & Namazie, Ceema, 2003. "Income inequality, risk, and the transfer principle: A questionnaire-experimental investigation," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 229-245, April.
  9. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  10. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-92, July.
  11. Amiel, Yoram & Cowell, Frank A., 1992. "Measurement of income inequality : Experimental test by questionnaire," Journal of Public Economics, Elsevier, vol. 47(1), pages 3-26, February.
  12. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  13. Thon, Dominique, 1987. "Redistributive properties of progressive taxation," Mathematical Social Sciences, Elsevier, vol. 14(2), pages 185-191, October.
  14. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer, vol. 21(4), pages 843-869, 06.
  15. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  16. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
  17. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  18. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  19. Yoram Weiss & Chaim Fershtman, 1997. "Social Status and Economic Performance: A Survey," University of Chicago - George G. Stigler Center for Study of Economy and State 139, Chicago - Center for Study of Economy and State.
  20. Harrison, Elizabeth & Seidl, Christian, 1994. " Perceptional Inequality and Preferential Judgements: An Empirical Examination of Distributional Axioms," Public Choice, Springer, vol. 79(1-2), pages 61-81, April.
  21. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-94, October.
  22. Moyes, Patrick, 1987. "A new concept of Lorenz domination," Economics Letters, Elsevier, vol. 23(2), pages 203-207.
  23. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 400-405, October.
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Citations

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Cited by:
  1. repec:hal:cesptp:halshs-00576585 is not listed on IDEAS
  2. William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," Journal of Economic Inequality, Springer, vol. 6(1), pages 5-32, March.
  3. Ronny Aboudi & Dominique Thon, 2010. "Characterizations of egalitarian binary relations as transitive closures with a special reference to Lorenz dominance and to single-crossing conditions," Social Choice and Welfare, Springer, vol. 35(4), pages 575-593, October.
  4. Stephen BAZEN (GREQAM, CNRS, UMR 6579) & Patrick MOYES (GREThA, CNRS, UMR 5113), 2011. "Elitism and Stochastic Dominance," Cahiers du GREThA 2011-08, Groupe de Recherche en Economie Théorique et Appliquée.
  5. Brice MAGDALOU (CEREGMIA) & Patrick MOYES (GREThA UMR CNRS 5113), 2008. "Social Welfare, Inequality and Deprivation," Cahiers du GREThA 2008-23, Groupe de Recherche en Economie Théorique et Appliquée.
  6. Kristof Bosmans, 2006. "Comparing degrees of inequality aversion," Public Economics Working Paper Series ineqav, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  7. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
  8. Brice Magdalou & Patrick Moyes, 2009. "Deprivation, welfare and inequality," Social Choice and Welfare, Springer, vol. 32(2), pages 253-273, February.
  9. repec:hal:wpaper:halshs-00576585 is not listed on IDEAS
  10. Udo Ebert, 2009. "Taking empirical studies seriously: the principle of concentration and the measurement of welfare and inequality," Social Choice and Welfare, Springer, vol. 32(4), pages 555-574, May.

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