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...

We present a new index for measuring income inequality in networks. The index is based on income comparisons made by the members of a network who are linked with each other by direct social connections. To model the comparisons, we compose a measure of relative deprivation for networks. We base...