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arXiv · 1902.09066

Pure Strategy Best Responses to Mixed Strategies in Repeated Games

Shiheng Wang·Fangzhen Lin
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Abstract

Repeated games are difficult to analyze, especially when agents play mixed strategies. We study one-memory strategies in iterated prisoner's dilemma, then generalize the result to k-memory strategies in repeated games. Our result shows that there always exists a pure strategy best response, which can be computed with SMT or MDP solvers. However, there may not exist such pure strategy best response in multi-agent tournaments. All source code is released for verification.

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Shiheng Wang, Fangzhen Lin. 2019-02-25. Pure Strategy Best Responses to Mixed Strategies in Repeated Games. https://arxiv.org/abs/1902.09066

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