A Family of Aggregative Compromise Inequality Measures

Udo Ebert

International Economic Review, 1988, vol. 29, issue 2, 363-76

Abstract: This paper presents and discusses a set of axioms which characterizes a family of compromise inequality measures. These are indices of absolute inequality that can be easily converted to measures of relative inequality (division by the average income). The family consists of all r-means (r = 1) of the absolute difference between each individual's income and the average income. Adding further properties, one obtains an axiomatization of the absolute mean deviation, the relative mean deviation, the standard deviation, the coefficient of variation, and the subfamily of all r-means for r = 2. Copyright 1988 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Date: 1988
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