Transfer Principles and Inequality Aversion

This paper characterize two preorders over vectors, representing here income distributions, which, for the case of an order-preserving additive welfare function, corresponds the the increasing concave functions which are more concave than ln(x) and than -1/x, respectively. We provide a characterization of those functions which is quite distinct from the one recently provided by Fleurbaey and Michel, Mathematical Social Sciences, 2001. The two sets of results are compared