This paper develops a normative approach to the measurement of ex-ante inequality of opportunity in a multidimensional setting - that is, when the individual outcome is represented by a multidimensional variable. We characterize three classes of social welfare functions, all endorsing ex-ante...

Consider an income distribution among households of the same size in which individuals, equally needy from the point of view of an ethical observer, are treated unfairly. Individuals are split into two types, the dominant and the dominated. We look for conditions under which welfare and...

According to the opportunity egalitarian ethics, economic inequalities due to factors beyond the individual responsibility are inequitable and to be compensated by society, whereas inequalities due to personal responsibility are equitable and not to be compensated. In this paper we derive...

The United Nations' Human Development Index (HDI) takes several dimensions ---income, school enrolment and literacy rate, longevity--- and combines them into a single figure that measures the degree of development of a given country. However, there is disagreement about (i) how to normalize the...

This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations Aaberge (2009) introduced two...