Income distributions and decomposable divergence measures
AbstractInequality indices evaluate the divergence between the income distribution and the hypothetical situation where all individuals receive the mean income, and are unambiguously reduced by a Pigou–Dalton progressive transfer. This paper proposes a new approach to evaluate the divergence between any two income distributions, where the latter can be a reference distribution for the former. In the case where the reference distribution is perfectly egalitarian – and uniquely in this case – we assume that any progressive transfer reduces the divergence, and that the divergence can be additively separated into inequality and efficiency loss. We characterize the unique class of decomposable divergence measures consistent with these views. We derive the associated relative and absolute subclasses, and we illustrate the applicability of our results. This approach extends the generalized entropy studied in inequality measurement.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 146 (2011)
Issue (Month): 6 ()
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Web page: http://www.elsevier.com/locate/inca/622869
Inequality measures; Mobility; Responsibility; Heterogeneous households; Generalized entropy; Bregman divergences;
Other versions of this item:
- Brice Magdalou & Richard Nock, 2010. "Income Distributions and Decomposable Divergence Measures," Documents de Travail 2010-01, CEREGMIA, Université des Antilles et de la Guyane.
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
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.:
- Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November.
- 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.
- Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 521-31, April.
- Cowell, Frank A. & Kuga, Kiyoshi, 1981. "Additivity and the entropy concept: An axiomatic approach to inequality measurement," Journal of Economic Theory, Elsevier, vol. 25(1), pages 131-143, August.
- Bossert, Walter, 1995.
"Redistribution mechanisms based on individual characteristics,"
Mathematical Social Sciences,
Elsevier, vol. 29(1), pages 1-17, February.
- Bossert W., 1996. "Redistribution mechanisms based on individual characteristics," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 51-51, February.
- Bossert, W., 1993. "Redistribution Mechanisms Based on Individual Characteristics," Working Papers 9307, University of Waterloo, Department of Economics.
- Fleurbaey, Marc, 1995. "Equality and responsibility," European Economic Review, Elsevier, vol. 39(3-4), pages 683-689, April.
- Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
- Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-85, November.
- James E. Foster & Artyom A. Shneyerov, 1999. "A general class of additively decomposable inequality measures," Economic Theory, Springer, vol. 14(1), pages 89-111.
- Almås, Ingvild & Cappelen, Alexander W. & Lind, Jo Thori & Sørensen, Erik Ø. & Tungodden, Bertil, 2011.
"Measuring unfair (in)equality,"
Journal of Public Economics,
Elsevier, vol. 95(7-8), pages 488-499, August.
- Esteban, J. & Ray, D., 1993.
"On the Measurement of Polarization,"
UFAE and IAE Working Papers
221.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Joan-Maria Esteban & Debraj Ray, 1991. "On the Measurement of Polarization," Boston University - Institute for Economic Development 18, Boston University, Institute for Economic Development.
- Esteban, J.M. & Ray, D., 1992. "On the Measurement of Polarization," UFAE and IAE Working Papers 171.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
- Kurt Devooght, 2008. "To Each the Same and to Each his Own: A Proposal to Measure Responsibility-Sensitive Income Inequality," Economica, London School of Economics and Political Science, vol. 75(298), pages 280-295, 05.
- Devooght, Kurt, 2008. "To Each the Same and to Each his Own: A Proposal to Measure Responsibility-Sensitive Income Inequality," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/406259, Katholieke Universiteit Leuven.
- George Garvy, 1952. "Inequality of Income: Causes and Measurement," NBER Chapters, in: Studies in Income and Wealth, Volume 15, pages 25-48 National Bureau of Economic Research, Inc.
- Kristof Bosmans & Frank A Cowell, 2009.
"The Class of Absolute Decomposable Inequality Measures,"
STICERD - Distributional Analysis Research Programme Papers
099, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Bosmans, Kristof & Cowell, Frank A., 2010. "The class of absolute decomposable inequality measures," Economics Letters, Elsevier, vol. 109(3), pages 154-156, December.
- Cowell, Frank A, 1985. "Measures of Distributional Change: An Axiomatic Approach," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 135-51, January.
- Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April.
- Paglin, Morton, 1975. "The Measurement and Trend of Inequality: A Basic Revision," American Economic Review, American Economic Association, vol. 65(4), pages 598-609, September.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
- Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
- Ramos, Xavi & Van de gaer, Dirk, 2012.
"Empirical Approaches to Inequality of Opportunity: Principles, Measures, and Evidence,"
IZA Discussion Papers
6672, Institute for the Study of Labor (IZA).
- Xavier Ramos & Dirk Van de gaer, 2012. "Empirical approaches to inequality of opportunity: Principles, measures, and evidence," Working Papers 259, ECINEQ, Society for the Study of Economic Inequality.
- Xavier Ramos & Dirk Van de gaer, 2012. "Empirical Approaches to Inequality of Opportunity: Principles, Measures, and Evidence," Working Papers wpdea1208, Department of Applied Economics at Universitat Autonoma of Barcelona.
- X. Ramos & D. Van De Gaer, 2012. "Empirical Approaches to Inequality of Opportunity: Principles, Measures, and Evidence," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 12/792, Ghent University, Faculty of Economics and Business Administration.
- RAMOS, Xavier & VAN DE GAER, Dirk, 2012. "Empirical approaches to inequality of opportunity: principles, measures, and evidence," CORE Discussion Papers 2012026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Nuno Crespo & Sandrina B. Moreira & Nádia Simões, 2012.
"An Integrated Approach for the Measurement of Inequality, Poverty and Richness,"
Working Papers Series 2
12-03, ISCTE-IUL, Business Research Unit (BRU-IUL).
- Nuno Crespo & Sandrina Berthault Moreira & Nádia Simões, 2011. "An integrated approach for the measurement of inequality, poverty, and richness," Working Papers 205, ECINEQ, Society for the Study of Economic Inequality.
- Yalonetzky, Gaston, 2012.
"Measuring group disadvantage with inter-distributional inequality indices: A critical review and some amendments to existing indices,"
Economics - The Open-Access, Open-Assessment E-Journal,
Kiel Institute for the World Economy, vol. 6(9), pages 1-32.
- Yalonetzky, Gaston, 2011. "Measuring group disadvantage with inter-distributional inequality indices: A critical review and some amendments to existing indices," Economics Discussion Papers 2011-46, Kiel Institute for the World Economy.
- Magali Jaoul-Grammare & Brice Magdalou, 2013. "Opportunities in Higher Education: An Application in France," Working Papers 13-05, LAMETA, Universtiy of Montpellier, revised Mar 2013.
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