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Richness orderings

Author

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  • Arup Bose
  • Satya Chakravarty
  • Conchita D’Ambrosio

Abstract

An index of richness in a society is a measure of the extent of its affluence. This paper presents an analytical discussion on several indices of richness and their properties. It also develops criteria for ordering alternative distributions of income in terms of their richness. Given a line of richness, an income level above which a person is regarded as rich, and depending on the redistributive principle, it is shown that the ranking relation can be implemented by seeking dominance with respect to the generalized Lorenz curve of the rich or the affluence profile of the society. When the line of richness is assumed to be variable, we need to employ the stochastic dominance conditions for ordering the income distributions. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Arup Bose & Satya Chakravarty & Conchita D’Ambrosio, 2014. "Richness orderings," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(1), pages 5-22, March.
    • Handle: RePEc:kap:jecinq:v:12:y:2014:i:1:p:5-22
    DOI: 10.1007/s10888-013-9249-4
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    References listed on IDEAS

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    1. Andreas Peichl & Thilo Schaefer & Christoph Scheicher, 2010. "Measuring Richness And Poverty: A Micro Data Application To Europe And Germany," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(3), pages 597-619, September.
    2. Andreas Peichl & Nico Pestel, 2013. "Multidimensional affluence: theory and applications to Germany and the US," Applied Economics, Taylor & Francis Journals, vol. 45(32), pages 4591-4601, November.
    3. Marcelo Medeiros, 2006. "The Rich and the Poor: The Construction of an Affluence Line from the Poverty Line," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 78(1), pages 1-18, August.
    4. Zheng, Buhong, 2000. "Minimum Distribution-Sensitivity, Poverty Aversion, and Poverty Orderings," Journal of Economic Theory, Elsevier, vol. 95(1), pages 116-137, November.
    5. Thomas Piketty & Emmanuel Saez, 2006. "The Evolution of Top Incomes: A Historical and International Perspective," American Economic Review, American Economic Association, vol. 96(2), pages 200-205, May.
    6. repec:bla:jecsur:v:14:y:2000:i:4:p:427-66 is not listed on IDEAS
    7. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    8. Michal Brzezinski, 2010. "Income Affluence in Poland," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 99(2), pages 285-299, November.
    9. Satya R. Chakravarty, 2009. "Inequality, Polarization and Poverty," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-79253-8, November.
    10. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    11. Buhong Zheng, 2007. "Unit-Consistent Poverty Indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 113-142, April.
    12. Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, vol. 91(362), pages 515-526, June.
    13. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    14. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-327, July.
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    Cited by:

    1. Guido Alfani, 2017. "The rich in historical perspective: evidence for preindustrial Europe (ca. 1300–1800)," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 11(3), pages 321-348, September.
    2. Chakravarty, Satya R. & D'Ambrosio, Conchita, 2013. "An axiomatic approach to the measurement of poverty reduction failure," Economic Modelling, Elsevier, vol. 35(C), pages 874-880.
    3. Iñaki Permanyer & Nicolai Suppa, 2022. "Racing ahead or lagging behind? Territorial cohesion in human development around the globe," Regional Studies, Taylor & Francis Journals, vol. 56(12), pages 2086-2101, December.
    4. Sączewska-Piotrowska Anna, 2018. "Territorial Division and Income Affluence – Analysis Using Two-Level Logit Models," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 22(4), pages 65-78, December.

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    More about this item

    Keywords

    Richness measurement; Poverty; Equity; D63;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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