Abstract
(1970) and Kolm (1969) discovered the mathematical foundations of inequality measurement. More precisely, they pointed out the relevance for inequality measurement of a branch of mathematics known today as majorization. In permitting a deep understanding of the Lorenz partial ordering, the celebrated Hardy, Littlewood and Polya Theorem (1929) is certainly central in that respect. Also, from a historical point of view their work initiated an important stream of research which is presented in (1979) and has continued today in various directions.
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Le Breton, M. (1999). The Mathematical Foundations of Inequality Analysis. In: Silber, J. (eds) Handbook of Income Inequality Measurement. Recent Economic Thought Series, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4413-1_6
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