Generalization of Zhou fixed point theorem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914886646235136 |
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| author | Yu, Lu |
| author_facet | Yu, Lu |
| contents | We give two generalizations of the Zhou fixed point theorem. They weaken the subcompleteness condition of values, and relax the ascending condition of the correspondence. As an application, we derive a generalization of Topkis's theorem on the existence and order structure of the set of Nash equilibria of supermodular games. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17884 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalization of Zhou fixed point theorem Yu, Lu Theoretical Economics We give two generalizations of the Zhou fixed point theorem. They weaken the subcompleteness condition of values, and relax the ascending condition of the correspondence. As an application, we derive a generalization of Topkis's theorem on the existence and order structure of the set of Nash equilibria of supermodular games. |
| title | Generalization of Zhou fixed point theorem |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2407.17884 |