An economic agent is said to be weakly myopic if he prefers a time-contingent consumption plan x bar to a time-contingent consumption plan y bar, then he prefers x bar x to y bar augmented by any stationary consumption plan which begins sufficiently far in the future.
An economic agent is said to be monotonically myopic if when he prefers a state-contingent consumption plan x bar to a state-contingent consumption plan y bar, then he prefers any sufficiently large finite truncation of y bar.
A topology on the space of time (state)-contingent consumption plans is said to be weakly (monotonically) myopic if every complete preference relation which is continuous in this topology is weakly (monotonically) myopic.
A characterization of weakly (monotonically) myopic Hausdorff locally convex linear topologies and their dual spaces is given.