The purpose of this paper is to propose a family of inequality measures obtained from the Bonferroni curve as a distribution function. This family characterizes the income distribution, given the mean income, as well as other families considered in this paper. Although all of the families show a clear formal analogy and are mutually determined, their elements include very different value judgments for measuring inequality and social welfare. Normative aspects are analyzed by means of the preference distributions associated to the indexes. This allows us to compare the indexes, and in some cases, rank them according to their degree of inequality aversion, as well as studying their behavior regarding different principles of transfer.

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Geometric interpretation from the Lorenz curve: Gini: w(x)=2F(x) o π(p)=2 Generalized Gini π(p)=n (n-1)(1-p) n-2 Aaberge (2000) π(p)=n p n-2 , n≥2