Full Text: PDF
DOI: 10.23952/cot.2025.26
Received April 18, 2024; Accepted June 2, 2024; Published online March 21, 2025
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.
How to Cite this Article:
Y. Hosoya, A note on the continuity of expected utility functions, Commun. Optim. Theory 2025 (2025) 26.