Gini, deprivation and complaints

Recent insights from the philosopher Larry Temkin have suggested a new basis for the measurement of income inequality, founded on the notion of individual “complaints” about income distribution. Under certain specifications of the relationship between complaints and personal incomes it can be shown that a concept similar to the concept of deprivation then emerges. In turn deprivation is related to the Gini index and to poverty. The paper examines the relationships between the Gini index and Lorenz orderings on the one hand and deprivation, poverty and complaints on the other hand.