We show that a social planner who seeks to allocate a given sum in order to reduce efficiently the social stress of a population, as measured by the aggregate relative deprivation of the population, pursues a disbursement procedure that is identical to the procedure adhered to by a Rawlsian...

The Gini coefficient features prominently in Amartya Sen's 1973 and 1997 seminal work on income inequality and social welfare. We construct the Gini coefficient from socialpsychological building blocks, reformulating it as a ratio between a measure of social stress and aggregate income. We...