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Multidimensional inequality with variable population size

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Summary.

We study inequality in a context of more than one variable by extending a celebrated result of Hardy, Littlewood and Pölya (1934) to the case of distributions with variable population sizes, whose individuals differ in many characteristics besides income. A new ordering between rectangular matrices, representing such distributions, is provided and characterized by convexity theory.

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Authors and Affiliations

  1. Department of Economics, University of Siena, 7 Piazza San Francesco, 53100, Siena, ITALY

    Ernesto Savaglio

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  1. Ernesto Savaglio
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Correspondence to Ernesto Savaglio.

Additional information

Received: 19 October 2003, Revised: 7 September 2004,

JEL Classification Numbers:

D31, D63, I31.

I am indebted to C. d’Aspremont, V. Dardanoni, G. Koshevoy, K. Mosler and especially J. Weymark and an anonymous referee for many useful comments.

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Savaglio, E. Multidimensional inequality with variable population size. Economic Theory 28, 85–94 (2006). https://doi.org/10.1007/s00199-004-0561-x

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  • DOI: https://doi.org/10.1007/s00199-004-0561-x

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