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arXiv · 1912.04493

Memory depth of finite state machine strategies for the iterated prisoner's dilemma

T. J. Gaffney·Marc Harper·Vincent A. Knight
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Abstract

We develop an efficient algorithm to determine the memory-depth of finite state machines and apply the algorithm to a collection of iterated prisoner's dilemma strategies. The calculation agrees with the memory-depth of other representations of common strategies such as Tit-For-Tat, Tit-For-2-Tats, etc. which are typically represented by lookup tables. Our algorithm allows the complexity of finite state machine based strategies to be characterized on the same footing as memory-n strategies.

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T. J. Gaffney, Marc Harper, Vincent A. Knight. 2019-12-10. Memory depth of finite state machine strategies for the iterated prisoner's dilemma. https://arxiv.org/abs/1912.04493

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