A Characterization of Cesàro Average Utility
36 Pages Posted: 7 Oct 2020 Last revised: 20 Nov 2020
Date Written: November 5, 2020
Let X be a connected metric space, let N be the set of natural numbers, and let > be a preference order defined on a suitable subset of X^N. I characterize when > has a Cesàro average utility representation. This means that there is a continuous function u from X into the real numbers, such that one sequence in X^N is preferred to another sequence if it yields a higher limit, as n goes to infinity, of the average utility over the first n terms in the sequence. This has applications to decision theory and inter-generational social choice.
Keywords: Subjective Expected Utility; Insufficient Reason; Inter-Temporal Choice; Complete Patience; Inter-Generational Social Choice; Cesàro Mean
JEL Classification: D81, D63, D71
Suggested Citation: Suggested Citation