Ordering infinite utility streams: Efficiency, continuity, and no impatience

• Study no-impatience postulates in the context of (possibly incomplete) intertemporal preferences on infinite utility streams.
• Show explicit continuous social welfare relations (SWR) satisfying Strong Pareto and the weaker version of no-impatience.
• Prove no lower semi-continuous (in the sup or Campbell topologies) SWR satisfying the stronger version of no-impatience and Weak Pareto exists.

We study two related versions of the no-impatience postulate in the context of transitive and reflexive relations on infinite utility streams which are not necessarily complete. Both are excluded by the traditional (weak) anonymity axiom. We show explicit social welfare relations satisfying Strong Pareto and the weaker version of no-impatience that are compatible with continuity in all the traditional topologies in this field. However the stronger version of no-impatience is violated by all lower semi-continuous (in the sup or Campbell topologies) social welfare relations satisfying the Weak Pareto axiom.