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arXiv · 2310.16806

A Note on the Continuity of Expected Utility Functions

Yuhki Hosoya
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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.

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Yuhki Hosoya. 2025-05-16. A Note on the Continuity of Expected Utility Functions. https://doi.org/10.23952/cot.2025.26

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