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Does less inequality among households mean less inequality among individuals?

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  • Eugenio Peluso

    ()

  • Alain Trannoy

    ()

Abstract

Consider an income distribution among households of the same size in which individuals, equally needy from the point of view of an ethical observer, are treated unfairly. Individuals are split into two types, the dominant and the dominated. We look for conditions under which welfare and inequality quasi-orders established at the household level still hold at the individual one. A necessary and sufficient condition for the Generalized Lorenz test is that the income of dominated individuals is a concave function of the household income: individuals of poor households have to stand more together than individuals of rich households. This property also proves to be crucial for the preservation of the Relative and Absolute Lorenz criteria, when the more egalitarian distribution is the poorest. Extensions to individuals heterogeneous in needs and more than two types are also provided.

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Bibliographic Info

Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 432.

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Date of creation: Jul 2004
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Handle: RePEc:usi:wpaper:432

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Keywords: Lorenz dominance; Intra-household inequality; concavity; sharing rule;

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References

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  1. Kanbur, Ravi & Haddad, Lawrence, 1994. "Are Better Off Households More Unequal or Less Unequal?," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 445-58, July.
  2. Moyes, Patrick, 1987. "A new concept of Lorenz domination," Economics Letters, Elsevier, vol. 23(2), pages 203-207.
  3. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  4. Yaari, Menahem E, 1977. "A Note on Separability and Quasiconcavity," Econometrica, Econometric Society, vol. 45(5), pages 1183-86, July.
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Cited by:
  1. Helene Couprie & Eugenio Peluso & Alain Trannoy, 2007. "From Household to Individual Welfare Comparisons: A Double Concavity Test," IDEP Working Papers 0701, Institut d'economie publique (IDEP), Marseille, France, revised 01 2007.
  2. Alessandra Michelangeli & Eugenio Peluso & Alain Trannoy, 2011. "Detecting a change in wealth concentration without the knowledge of the wealth distribution," Journal of Economic Inequality, Springer, vol. 9(3), pages 373-391, September.
  3. Eugenio Peluso & Alain Trannoy, 2005. "Do redistributive schemes reduce inequality between individuals?," Working Papers 26, University of Verona, Department of Economics.
  4. Couprie, Hélène & Peluso, Eugenio & Trannoy, Alain, 2010. "Is power more evenly balanced in poor households?," Journal of Public Economics, Elsevier, vol. 94(7-8), pages 493-507, August.
  5. Bargain, Olivier, 2004. "Normative Evaluation of Tax Policies: From Households to Individuals," IZA Discussion Papers 1441, Institute for the Study of Labor (IZA).
  6. Eugenio Peluso & Alain Trannoy, 2012. "Preserving dominance relations through disaggregation: the evil and the saint," Social Choice and Welfare, Springer, vol. 39(2), pages 633-647, July.
  7. Mangiavacchi, Lucia & Piccoli, Luca, 2011. "Improving the measurement of child welfare in the context of intra-household inequality," Children and Youth Services Review, Elsevier, vol. 33(2), pages 226-232, February.
  8. Lucia Mangiavacchi & Luca Piccoli, 2009. "Child welfare and intra-household inequality in Albania," Working Papers 149, ECINEQ, Society for the Study of Economic Inequality.
  9. Martina Menon & Elisa Pagani & Federico Perali, 2012. "A Characterization of Collective Individual Expenditure Functions," Working Papers 20/2012, University of Verona, Department of Economics.
  10. Eugenio Peluso & Alain Trannoy, 2012. "The Cake-eating problem: Non-linear sharing rules," Working Papers 26/2012, University of Verona, Department of Economics.

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