A comparison between (2) and (3) reveals immediately that A(ν) =μ(h)(1−C(ν)).
The latter expression bears a striking resemblance to an abbreviated social welfare function
that is quite common in the income inequality measurement literature. Lambert (2001) has given
several welfare economics rationalizations for the use of such an abbreviated social welfare
function in the evaluation of income profiles. His approach is different from ours in that he did
not give preference foundations for functional forms, but, instead, assumed particular functional
forms.