A Note on the Continuity of Expected Utility Functions
Theoretical Economics
2025-05-19 v4
Abstract
In this paper, we study the continuity of expected utility functions, and derive a necessary and sufficient condition for a weak order on the space of simple probabilities to have a continuous expected utility function. We also verify that almost the same condition is necessary and sufficient for a weak order on the space of probabilities with compact-support to have a continuous expected utility function.
Keywords
Cite
@article{arxiv.2310.16806,
title = {A Note on the Continuity of Expected Utility Functions},
author = {Yuhki Hosoya},
journal= {arXiv preprint arXiv:2310.16806},
year = {2025}
}