andy be income vectors in such that G(x) > G(y). Then

A similar idea has led Blackburn (1989) to a nice interpretation of changes in the Gini index: Let x andy be income vectors in R~_ such that G(x) > G(y). Then G(x) - G(y) equals the percentage of x that units in x below the median have to transfer to units above the median to make G(x) equal to G(y).