Nonparametric Strategy Test
We present a nonparametric statistical test for determining whether an agent is following a given mixed strategy in a repeated strategic-form game given samples of the agent's play. This involves two components: determining whether the agent's frequencies of pure strategies are sufficient...
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| Format: | Article |
| Language: | English |
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LibraryPress@UF
2025-05-01
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| Series: | Proceedings of the International Florida Artificial Intelligence Research Society Conference |
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| Online Access: | https://journals.flvc.org/FLAIRS/article/view/138635 |
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| author | Sam Ganzfried |
| author_facet | Sam Ganzfried |
| author_sort | Sam Ganzfried |
| collection | DOAJ |
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We present a nonparametric statistical test for determining whether an agent is following a given mixed strategy in a repeated strategic-form game given samples of the agent's play. This involves two components: determining whether the agent's frequencies of pure strategies are sufficiently close to the target frequencies, and determining whether the pure strategies selected are independent between different game iterations. Our integrated test involves applying a chi-squared goodness of fit test for the first component and a generalized Wald-Wolfowitz runs test for the second component. The results from both tests are combined using Bonferroni correction to produce a complete test for a given significance level alpha. We applied the test to publicly available data of human rock-paper-scissors play. The data consists of 50 iterations of play for 500 human players. We test with a null hypothesis that the players are following a uniform random strategy independently at each game iteration. Using a significance level of alpha = 0.05, we conclude that 305 (61%) of the subjects are following the target strategy.
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| format | Article |
| id | doaj-art-e38ee23e0ff44f0b8cebbb55d2bc674f |
| institution | Kabale University |
| issn | 2334-0754 2334-0762 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | LibraryPress@UF |
| record_format | Article |
| series | Proceedings of the International Florida Artificial Intelligence Research Society Conference |
| spelling | doaj-art-e38ee23e0ff44f0b8cebbb55d2bc674f2025-08-20T03:49:41ZengLibraryPress@UFProceedings of the International Florida Artificial Intelligence Research Society Conference2334-07542334-07622025-05-0138110.32473/flairs.38.1.138635Nonparametric Strategy TestSam Ganzfried0Ganzfried Research We present a nonparametric statistical test for determining whether an agent is following a given mixed strategy in a repeated strategic-form game given samples of the agent's play. This involves two components: determining whether the agent's frequencies of pure strategies are sufficiently close to the target frequencies, and determining whether the pure strategies selected are independent between different game iterations. Our integrated test involves applying a chi-squared goodness of fit test for the first component and a generalized Wald-Wolfowitz runs test for the second component. The results from both tests are combined using Bonferroni correction to produce a complete test for a given significance level alpha. We applied the test to publicly available data of human rock-paper-scissors play. The data consists of 50 iterations of play for 500 human players. We test with a null hypothesis that the players are following a uniform random strategy independently at each game iteration. Using a significance level of alpha = 0.05, we conclude that 305 (61%) of the subjects are following the target strategy. https://journals.flvc.org/FLAIRS/article/view/138635game theorynonparametric statistics |
| spellingShingle | Sam Ganzfried Nonparametric Strategy Test Proceedings of the International Florida Artificial Intelligence Research Society Conference game theory nonparametric statistics |
| title | Nonparametric Strategy Test |
| title_full | Nonparametric Strategy Test |
| title_fullStr | Nonparametric Strategy Test |
| title_full_unstemmed | Nonparametric Strategy Test |
| title_short | Nonparametric Strategy Test |
| title_sort | nonparametric strategy test |
| topic | game theory nonparametric statistics |
| url | https://journals.flvc.org/FLAIRS/article/view/138635 |
| work_keys_str_mv | AT samganzfried nonparametricstrategytest |