Gini Indices and the Redistribution of Income

Just as the Gini inequality index captures people's relative deprivation [Yitzhaki (1979)], so, we show in this paper, Gini-based progressivity and horizontal inequity indices capture individual perceptions of relative fiscal harshness and ill-fortune. In fact, we find that these links between individualistic perceptions and the measurement of the distribution and redistribution of income generalise to the family of indices based on the extended Ginis of Donaldson and Weymark (1980) and Yitzhaki (1983). Through "leaky bucket" experiments, we also suggest how we can parameterise the inequality aversion present in these indices. Analysis of the Canadian gross and net income distributions (conducted using recently developed statistical inference procedures) shows the distribution and the aggregation of these individual indicators of relative deprivation, fiscal harshness and ill-fortune in 1981 and in 1990