On construction of social welfare orders satisfying Hammond equity and Weak Pareto axioms

This paper examines the constructive nature of a social welfare order that respects Hammond equity axiom and Weak Pareto axiom. 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 admits an explicit construction if and only if the domain is a well-ordered set.