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 social planner who seeks to allocate the same sum in order to maximize the Rawlsian maximin-based social welfare function. Thus, the constrained minimization of aggregate relative deprivation constitutes an economics-based rationale for the philosophy-based constrained maximization of the Rawlsian social welfare function.