The Topology of Poker
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915546996408320 |
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| author | Bartholdi, Laurent Mikhailov, Roman |
| author_facet | Bartholdi, Laurent Mikhailov, Roman |
| contents | We examine the complexity of the ``Texas Hold'em'' variant of poker from a topological perspective. We show that there exists a natural simplicial complex governing the multi-way winning probabilities between various hands, and that this simplicial complex contains $4$-dimensional spheres as induced subcomplexes. We deduce that evaluating the strength of a pair of cards in Texas Hold'em is an intricate problem, and that even the notion of who is bluffing against whom is ill-defined in some situations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02023 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Topology of Poker Bartholdi, Laurent Mikhailov, Roman Algebraic Topology Computer Science and Game Theory We examine the complexity of the ``Texas Hold'em'' variant of poker from a topological perspective. We show that there exists a natural simplicial complex governing the multi-way winning probabilities between various hands, and that this simplicial complex contains $4$-dimensional spheres as induced subcomplexes. We deduce that evaluating the strength of a pair of cards in Texas Hold'em is an intricate problem, and that even the notion of who is bluffing against whom is ill-defined in some situations. |
| title | The Topology of Poker |
| topic | Algebraic Topology Computer Science and Game Theory |
| url | https://arxiv.org/abs/2305.02023 |