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Hammond Transfers and Ordinal Inequality Measurement

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Abstract

This article establishes a direct proof of the equivalence between two incomplete rankings of distributions of an ordinal attribute. The first ranking is the possibility of going from one distribution to another by a finite sequence of Hammond transfers. The second ranking is the intersection of two dominance criteria introduced by Gravel et al.(Economic Theory, 71 (2021), 33-80). The proof constructs an algorithm that provides a series of Hammond transfers, between any two distributions related by the intersection of the two dominances.

Suggested Citation

  • Tom Gargani, 2025. "Hammond Transfers and Ordinal Inequality Measurement," AMSE Working Papers 2509, Aix-Marseille School of Economics, France.
    • Handle: RePEc:aim:wpaimx:2509
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    1. Benedicte Apouey, 2007. "Measuring health polarization with self‐assessed health data," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 875-894, September.
    2. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    3. Kobus, Martyna & Miłoś, Piotr, 2012. "Inequality decomposition by population subgroups for ordinal data," Journal of Health Economics, Elsevier, vol. 31(1), pages 15-21.
    4. Abul Naga, Ramses H. & Yalcin, Tarik, 2008. "Inequality measurement for ordered response health data," Journal of Health Economics, Elsevier, vol. 27(6), pages 1614-1625, December.
    5. Mathieu Faure & Nicolas Gravel, 2021. "Reducing Inequalities Among Unequals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(1), pages 357-404, February.
    6. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    7. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, Decembrie.
    8. Allison, R. Andrew & Foster, James E., 2004. "Measuring health inequality using qualitative data," Journal of Health Economics, Elsevier, vol. 23(3), pages 505-524, May.
    9. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Hammond Transfers; Inequality; Algorithm;
    All these keywords.

    JEL classification:

    • D3 - Microeconomics - - Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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