3. Inequality measurement for homogeneous groups

The paper examines social welfare of and inequality within a finite homogeneous population consisting of identical individuals. These individuals form groups. All members of a group possess the same income; groups may differ in size and per-capita income. The framework is a generalization of the usual one to a situation in which the weight assigned to an income level can be arbitrary (but is, of course, fixed). It is in particular relevant for the measurement of welfare and inequality when households having different needs or size are investigated. Several classes of orderings which depend on the ranking of incomes are completely characterized.