Win Probabilities, Hand Sizes, and Game Duration Analysis in the Bhikar-Sawkar Card Game
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909636723998720 |
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| author | Durve, Mihir |
| author_facet | Durve, Mihir |
| contents | We present a Monte Carlo simulation study of the Bhikar-Sawkar card game, a non-deterministic game structurally similar to the classic Beggar-My-Neighbour, which is fully deterministic. Although both games share a common setup, key differences in their rules, particularly the reshuffling of cards after each won hand in Bhikar-Sawkar, introduce stochasticity and significantly increase the space of possible game evolutions. This inherent randomness raises a range of interesting statistical questions regarding the duration of the game, the hand-winner distributions, and the probability of winning the game for a given player. These questions are systematically investigated through large-scale simulations across multiple game configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Win Probabilities, Hand Sizes, and Game Duration Analysis in the Bhikar-Sawkar Card Game Durve, Mihir Other Statistics We present a Monte Carlo simulation study of the Bhikar-Sawkar card game, a non-deterministic game structurally similar to the classic Beggar-My-Neighbour, which is fully deterministic. Although both games share a common setup, key differences in their rules, particularly the reshuffling of cards after each won hand in Bhikar-Sawkar, introduce stochasticity and significantly increase the space of possible game evolutions. This inherent randomness raises a range of interesting statistical questions regarding the duration of the game, the hand-winner distributions, and the probability of winning the game for a given player. These questions are systematically investigated through large-scale simulations across multiple game configurations. |
| title | Win Probabilities, Hand Sizes, and Game Duration Analysis in the Bhikar-Sawkar Card Game |
| topic | Other Statistics |
| url | https://arxiv.org/abs/2506.03680 |