Nash Equilibria with Irradical Probabilities
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916840596307968 |
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| author | Orzech, Edan Rinard, Martin |
| author_facet | Orzech, Edan Rinard, Martin |
| contents | We present for every $n\ge4$ an $n$-player game in normal form with payoffs in $\{0,1,2\}$ that has a unique, fully mixed, Nash equilibrium in which all the probability weights are irradical (i.e., algebraic but not closed form expressible even with $m$-th roots for any integer $m$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09422 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nash Equilibria with Irradical Probabilities Orzech, Edan Rinard, Martin Computer Science and Game Theory Number Theory 91A06, 91A10 We present for every $n\ge4$ an $n$-player game in normal form with payoffs in $\{0,1,2\}$ that has a unique, fully mixed, Nash equilibrium in which all the probability weights are irradical (i.e., algebraic but not closed form expressible even with $m$-th roots for any integer $m$). |
| title | Nash Equilibria with Irradical Probabilities |
| topic | Computer Science and Game Theory Number Theory 91A06, 91A10 |
| url | https://arxiv.org/abs/2507.09422 |