The paper considers the problem of comparing income distributions for heterogeneous populations. Following Atkinson and Bourguignon (1987), we divide the population in different groups of needs and evaluate the social welfare with a utilitarian function. By considering the Generalized...

A general procedure inspired by the Shapley value is proposed for decompodsing any inequality index by factor components or by populations subgroups. To do so we define two types of inequality games. Although these games cannot be expressed in terms of unanimity games, an axiomatization of the...

In a model where agents have unequal production skills and different preferences, we build social welfare functions which rely only on ordinal non-comparable information on individual preferences. Social welfare functions are required to satisfy properties of compensation for inequalities in...