Quasi-Concavity, Convexity of Optimal Actions, and the Local Single-Crossing Property
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915737976700928 |
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| author | Chen, Kailin |
| author_facet | Chen, Kailin |
| contents | This note presents two results. First, it shows that under mild conditions, a decision problem is quasi-concave if the set of optimal actions is convex under every belief. Second, it shows that if a decision problem is quasi-concave, then it satisfies the local single crossing property after relabeling the states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12783 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-Concavity, Convexity of Optimal Actions, and the Local Single-Crossing Property Chen, Kailin Theoretical Economics This note presents two results. First, it shows that under mild conditions, a decision problem is quasi-concave if the set of optimal actions is convex under every belief. Second, it shows that if a decision problem is quasi-concave, then it satisfies the local single crossing property after relabeling the states. |
| title | Quasi-Concavity, Convexity of Optimal Actions, and the Local Single-Crossing Property |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2601.12783 |