paper
A Note on the Continuity of Expected Utility Functions
Yuhki Hosoya
A Note on the Continuity of Expected Utility Functions
Yuhki Hosoya
paper2023-10-25English
Description
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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