Consistent comparisons of attainment and shortfall inequality: A critical examination
An inequality measure is ‘consistent’ if it ranks distributions the same irrespective of whether health quantities are represented in terms of attainment or shortfalls. This consistency property severely restricts the set of admissible inequality measures. We show that, within a more general setting of separate measures for attainments and shortfalls, the consistency property is a combination of two conditions. The first is a compelling rationality condition that says that the attainment measure should rank attainment distributions as the shortfall measure ranks shortfall distributions. The second is an overly demanding condition that says that the attainment measure and the shortfall measure should be identical. By dropping the latter condition, the restrictions on the admissible inequality measures disappear.
|Date of creation:||01 Jan 2013|
|Contact details of provider:|| Postal: P.O. Box 616, 6200 MD Maastricht|
Phone: +31 (0)43 38 83 830
Web page: http://www.maastrichtuniversity.nl/
More information through EDIRC
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.:
- Lasso de la Vega, Casilda & Aristondo, Oihana, 2012.
"Proposing indicators to measure achievement and shortfall inequality consistently,"
Journal of Health Economics,
Elsevier, vol. 31(4), pages 578-583.
- Casilda Lasso de la Vega & Oihana Aristondo, 2010. "Proposing indicators to measure achievement and shortfall inequality consistently," Brooks World Poverty Institute Working Paper Series 12010, BWPI, The University of Manchester.
- Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
- Thierry Marchant, 2008.
"Scale invariance and similar invariance conditions for bankruptcy problems,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 693-707, December.
- Thierry Marchant, 2008. "Scale invariance and similar invariance conditions for bankruptcy problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 709-710, December.
- Kjellsson, Gustav & Gerdtham, Ulf-G., 2013. "Lost in Translation: Rethinking the Inequality-Equivalence Criteria for Bounded Health Variables," Working Papers 2013:18, Lund University, Department of Economics, revised 02 Jan 2014.
- Paul Allanson & Dennis Petrie, 2013. "On The Choice Of Health Inequality Measure For The Longitudinal Analysis Of Income‐Related Health Inequalities," Health Economics, John Wiley & Sons, Ltd., vol. 22(3), pages 353-365, 03.
- Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
- Clarke, Philip M. & Gerdtham, Ulf-G. & Johannesson, Magnus & Bingefors, Kerstin & Smith, Len, 2002. "On the measurement of relative and absolute income-related health inequality," Social Science & Medicine, Elsevier, vol. 55(11), pages 1923-1928, December.
- Buhong Zheng, 2007. "Unit-Consistent Decomposable Inequality Measures," Economica, London School of Economics and Political Science, vol. 74(293), pages 97-111, 02.
- Paul Allanson & Dennis Petrie, 2014.
"Understanding The Vertical Equity Judgements Underpinning Health Inequality Measures,"
John Wiley & Sons, Ltd., vol. 23(11), pages 1390-1396, November.
- Paul Allanson & Dennis Petrie, 2012. "Understanding the vertical equity judgements underpinning health inequality measures," Dundee Discussion Papers in Economics 264, Economic Studies, University of Dundee.
- Allanson, Paul & Petrie, Dennis, 2012. "Understanding the vertical equity judgements underpinning health inequality measures," SIRE Discussion Papers 2012-06, Scottish Institute for Research in Economics (SIRE).
When requesting a correction, please mention this item's handle: RePEc:unm:umagsb:2013064. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Leonne Portz)
If references are entirely missing, you can add them using this form.