摘要:Koopmans’s (Econometrica 28, 287–309) axiomatization of discounted utilitarianism
is based on seemingly compelling conditions, yet this criterion leads
to hard-to-justify outcomes. The present analysis considers a class of sustainable
recursive social welfare functions within Koopmans’s general framework.
This class is axiomatized by means of a weak new equity condition (“Hammond
Equity for the Future”) and general existence is established. Any member of the
class satisfies the key axioms of Chichilnisky’s (Social Choice and Welfare 13,
231–257) “sustainable preferences”. The analysis singles out one of Koopmans’s
original conditions as particularly questionable from an ethical perspective