A multidimensional Lorenz dominance relation

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 wel...

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Bibliographic Details
Published in:Social choice and welfare 2014-01, Vol.42 (1), p.171-191
Main Author: Banerjee, Asis Kumar
Format: Article
Language:English
Subjects:
Arithmetic mean
Binary relations
Covariance matrices
Economic dominance
Economic models
Economic theory
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Economics and Finance
Game Theory
Generalization
Income
Income inequality
Inequality
International Political Economy
Lorenz curve
Lorenz curves
Mathematical vectors
Matrices
Multidimensional analysis
Physics
Prioritization
Public Finance
Scalars
Social and Behav. Sciences
Social Policy
Social Welfare
Studies
Unidimensional scales
Welfare economics
Well-being
Wellbeing
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Summary: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.
ISSN:0176-1714
1432-217X
DOI:10.1007/s00355-013-0722-6