Nash Equilibria of Rock Paper Scissors Variants
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916442860945408 |
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| author | Thananopavarn, Adrian |
| author_facet | Thananopavarn, Adrian |
| contents | We generalize Rock Paper Scissors to complete directed graphs, or tournaments, on $n$ vertices. Properties of the mixed-strategy Nash equilibria of these tournaments are discussed, particularly those with Nash equilibria where all of the strategies have a nonzero probability. We find graph-theoretic properties of such games and tabulate them for $n \leq 7$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nash Equilibria of Rock Paper Scissors Variants Thananopavarn, Adrian Combinatorics We generalize Rock Paper Scissors to complete directed graphs, or tournaments, on $n$ vertices. Properties of the mixed-strategy Nash equilibria of these tournaments are discussed, particularly those with Nash equilibria where all of the strategies have a nonzero probability. We find graph-theoretic properties of such games and tabulate them for $n \leq 7$. |
| title | Nash Equilibria of Rock Paper Scissors Variants |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2410.13560 |