In this paper we show that if a strongly monotone inter-temporal order exhibits no preference towards the advancement of timing of future utility on any infinite utility stream, then the existence of such an order must involve some non-constructive device.

We provide necessary conditions for Pareto optimum in economies where tastes or technologies may be nonconvex, nonsmooth, and affected by externalities. Firms can pursue own objectives, much like the consumers. Infinite-dimensional commodity spaces are accommodated. Public goods and material...