The Dasgupta-Heal-Solow-Stiglitz model of capital accumulation and resource depletion poses the following sustainability problem: is it feasible to sustain indefinitely a level of consumption that is bounded away from zero? We provide a complete technological characterization of the...

We consider the Hartwick rule for capital accumulation and resource depletion, provide semantic clarifications and investigate whether this rule indicates sustainability and requires substitutability between manmade and natural capital. In addition to shedding light on the meaning of the...

Following Arrow et al. (2003), this paper considers green national accounting when population is changing and instantaneous well-being depends not only on per capita consumption, but also population size. It is shown that welfare improvement can be indicated by an expanded “genuine savings...

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...

We show that our general result (Withagen and Asheim [8]) on the converse of Hartwick’s rule also applies for the special case of Solow’s model with one capital good and one exhaustible resource. Hence, the criticism by Cairns and Yang [1] of our paper is unfounded.

In the framework of ethical social choice theory, sustainability is justified by Efficiency and Equity as ethical axioms. These axioms correspond to the Suppes-Sen Grading principle. In technologies that are productive in a certain sense, the set of Suppes-Sen maximal utility paths is shown to...

This paper summarizes assumptions made and results obtained in parts of the literature on welfare and sustainability accounting. I consider five di®erent assumptions that can be imposed independently of each other, producing 32 different combinations. This taxonomy is used to organize results...