Single Crossing Lorenz Curves and Inequality Comparisons
AbstractSince the order generated by the Lorenz criterion is partial, it is a natural question to wonder how to extend this order. Most of the literature that is concerned with that question focuses on local changes in the income distribution. We follow a different approach, and define uniform $\alpha$-spreads, which are global changes in the income distribution. We give necessary and sufficient conditions for an Expected Utility or Rank-Dependent Expected Utility maximizer to respect the principle of transfers and to be favorable to uniform $\alpha$-spreads. Finally, we apply these results to inequality indices.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00086028.
Date of creation: 2004
Date of revision:
Publication status: Published, Mathematical Social Sciences, 2004, 47, 1, 21-36
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00086028
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
Inequality measures; Intersecting Lorenz Curves; Spreads;
Other versions of this item:
- Gajdos, Thibault, 2004. "Single crossing Lorenz curves and inequality comparisons," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 21-36, January.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
- Chateauneuf, A. & Cohen, M. & Meilijson, I., 1997.
"More Pessimism than Greediness: A Characterization of Monotone Risk Aversion in the Rank-Dependant Expected Utility Model,"
Papiers d'Economie MathÃÂ©matique et Applications
97.53, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Alain Chateauneuf & Michéle Cohen & Isaac Meilijson, 2005. "More pessimism than greediness: a characterization of monotone risk aversion in the rank-dependent expected utility model," Economic Theory, Springer, vol. 25(3), pages 649-667, 04.
- Alain Chateauneuf & Michèle Cohen & Isaac Meilijson, 2005. "More pessimism than greediness: a characterization of monotone risk aversion in the Rank-Dependent Expected Utility model," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00211906, HAL.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
- Muliere, Pietro & Scarsini, Marco, 1989. "A note on stochastic dominance and inequality measures," Journal of Economic Theory, Elsevier, vol. 49(2), pages 314-323, December.
- Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Davies James & Hoy Michael, 1994.
"The Normative Significance of Using Third-Degree Stochastic Dominance in Comparing Income Distributions,"
Journal of Economic Theory,
Elsevier, vol. 64(2), pages 520-530, December.
- Hoy, M. & Davies, J., 1991. "The Normative Significance of Using Third-Degree Stochastic Dominance in Comparing Income Distributions," Working Papers 1991-8, University of Guelph, Department of Economics.
- Foster, James E. & Shorrocks, Anthony F., 1988. "Inequality and poverty orderings," European Economic Review, Elsevier, vol. 32(2-3), pages 654-661, March.
- Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
- 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.
- Mussard, Stéphane, 2007.
"Between-Group Pigou-Dalton Transfers,"
IRISS Working Paper Series
2007-02, IRISS at CEPS/INSTEAD.
- Makdissi, Paul & Mussard, Stéphane, 2006.
"Decomposition of s-Concentration Curves,"
IRISS Working Paper Series
2006-09, IRISS at CEPS/INSTEAD.
- Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s - Concentration Curves," Cahiers de recherche 0641, CIRPEE.
- Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s-Concentration Curves," Cahiers de recherche 06-21, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
- 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.
- Michel Le Breton & Eugenio Peluso, 2009. "Third-degree stochastic dominance and inequality measurement," Journal of Economic Inequality, Springer, vol. 7(3), pages 249-268, September.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If references are entirely missing, you can add them using this form.