Size and distribution trade-offs for the leximin ordering

Bart Capéau

The Journal of Economic Inequality, 2013, vol. 11, issue 2, 237-248

Abstract: A relative invariant and an absolute invariant inequality ordering satisfying extreme bottom-sensitivity, are proposed. It is shown that the leximin social welfare ordering can be expressed in terms of a ranking of distributions on the sole basis of their size, measured by the mean, and the degree of inequality, measured according to these inequality concepts. Leximin thus exhibits extreme bottom-sensitivity. This property does not withstand that leximin prefers a larger size of the cake at the cost of higher inequality in a number of cases. These trade-offs between size and equality are characterised in terms of degrees of dominance of the lower parts of the ordinary and absolute Lorenz curves that are accepted by leximin for a given increase in the mean. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Extreme bottom-sensitivity; Inequality ordering; Leximin; Lorenz curves; Social welfare ordering; D60; D63 (search for similar items in EconPapers)
Date: 2013
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Working Paper: Size and distribution trade-offs for the leximin ordering (2012)
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DOI: 10.1007/s10888-012-9219-2

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