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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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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.

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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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