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The structure of a 3-state finite transducer representation for Prisoner's Dilemma

机译:囚徒困境的三态有限换能器表示的结构

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To facilitate systematic and automated analysis of game playing strategies, the fingerprint, a mathematical technique that generates a functional summary independent of representation, was developed. This study attempts to push the boundaries of full state space investigation, looking at 3-state finite transducers as a representation for playing Prisoner's Dilemma. There are a staggering 23,000 unique strategies in this space, which severely limits the choice of analysis methods. These strategies are fingerprinted and pairwise distances computed, then hierarchical clustering reduces them to a manageable size for further experiments with multidimensional scaling and the mutational connectivity network. Results indicate there are no obvious cutoff scales of structure; mutational distance is not correlated with fingerprint distance; and a level of similarity with past results on smaller state spaces.
机译:为了促进系统和自动化的游戏策略分析,开发了一种指纹技术,即一种可以独立于表示的功能摘要的数学技术。这项研究试图将三态有限换能器视为玩囚徒困境的代表,从而突破了全态空间研究的界限。在这个空间中,有23,000种独特的策略,这严重限制了分析方法的选择。对这些策略进行指纹识别并计算成对距离,然后进行层次聚类,将其缩小到可管理的大小,以进行多维缩放和变异连接网络的进一步实验。结果表明,没有明显的结构截止尺度。突变距离与指纹距离无关;在较小的状态空间上与过去的结果具有相似度。

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