On Construction of Social Welfare Orders Satisfying Hammond Equity and Weak Pareto Axioms

This paper examines the constructive nature of social welfare order that respects the Hammond equity and Weak Pareto Axioms. It describes the domains (of the one period utilities) on which an explicit construction is possible. A social welfare order satisfying the Hammond equity and Weak Pareto Axioms admits an explicit construction on precisely those domains which are well-ordered sets in which the elements of the set are ordered according to the decreasing magnitude of the numbers belonging to the set