Transfer principles and relative inequality aversion a majorization approach

This paper characterizes two preorders over vectors, representing here income distributions, which, for the case of an order-preserving additive welfare function W=∑ 1 n u( x i ), correspond to the increasing concave functions u which are more concave than u( x)=ln x and than u( x)=−1/ x, respectively. We provide a characterization of those W functions that is quite distinct from the one recently provided by Fleurbaey and Michel, Mathematical Social Sciences, 2001. The two sets of results are shown to be complementary.