A Note on the Continuity of Expected Utility Functions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915288896765952 |
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| author | Hosoya, Yuhki |
| author_facet | Hosoya, Yuhki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16806 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Note on the Continuity of Expected Utility Functions Hosoya, Yuhki Theoretical Economics 91B06, 91A30 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. |
| title | A Note on the Continuity of Expected Utility Functions |
| topic | Theoretical Economics 91B06, 91A30 |
| url | https://arxiv.org/abs/2310.16806 |