Equal treatment for the present and the future was required in two axioms for sustainable development introduced by the author. This article shows that the two axioms are equivalent to awareness of physical limits in the long run future. We prove that two optimization problems are equivalent:...

Equal treatment for the present and the future was required in two axioms introduced in the articles by Chichilnisky of the years 1996 and 1997. These articles provide a characterization of the decision criterion that satisfies the axioms and shows that the two axioms are equivalent to physical...

A group of agents disagree about the appropriate inter temporal preferences to use when exploiting a common productive resource. They thus delegate decision making to a social planner who allocates consumption efficiently across heterogeneous individuals and over time. We define `policy...