Strict Comparisons of Infinite Utility Streams

There exists a preference relation on infinite utility streams that does not discriminate between different periods, satisfies the Pareto criterion, and so that almost all pairs of utility streams are strictly comparable. Such a preference relation provides a counterexample to a claim in [Zame, William R. ``Can intergenerational equity be operationalized?‘’ Theoretical Economics 2.2 (2007): 187-202.]