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A multidimensional Lorenz dominance relation

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  • Asis Banerjee

Abstract

This paper seeks to extend the unidimensional notion of Lorenz dominance to the multidimensional context. It formulates a definition of a multidimensional Lorenz dominance relation (MLDR) on the set of alternative distributions of well-being in an economy by incorporating a generalization of the well-known transfer principle of unidimensional theory suggested in recent literature. It also proposes two conditions which an MLDR may reasonably be required to satisfy. The paper notes that the existing literature does not seem to contain an example of an MLDR satisfying these two conditions and suggests one that does. The suggested MLDR does not seem to have appeared in the literature before. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • Asis Banerjee, 2014. "A multidimensional Lorenz dominance relation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 171-191, January.
    • Handle: RePEc:spr:sochwe:v:42:y:2014:i:1:p:171-191
    DOI: 10.1007/s00355-013-0722-6
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    References listed on IDEAS

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    10. Savaglio, Ernesto, 2011. "On multidimensional inequality with variable distribution mean," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 453-461.
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    Cited by:

    1. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    2. Oliver Grothe & Fabian Kächele & Friedrich Schmid, 2022. "A multivariate extension of the Lorenz curve based on copulas and a related multivariate Gini coefficient," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(3), pages 727-748, September.

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