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Richness orderings


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.

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Corresponding author

Correspondence to Conchita D’Ambrosio.

Additional information

Research of A. Bose was supported by J.C. Bose National Fellowship, Dept. of Science and Technology, Govt. of India.

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Bose, A., Chakravarty, S.R. & D’Ambrosio, C. Richness orderings. J Econ Inequal 12, 5–22 (2014).

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  • Richness measurement
  • Poverty
  • Equity

JEL Classification

  • D63