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arXiv · 1403.1048

Network Structures between Strategies in Iterated Prisoners' Dilemma Games

Young Jin Kim·Myungkyoon Roh·Seung-Woo Son
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Abstract

We use replicator dynamics to study an iterated prisoners' dilemma game with memory. In this study, we investigate the characteristics of all 32 possible strategies with a single-step memory by observing the results when each strategy encounters another one. Based on these results, we define similarity measures between the 32 strategies and perform a network analysis of the relationship between the strategies by constructing a strategies network. Interestingly, we find that a win-lose circulation, like rock-paper-scissors, exists between strategies and that the circulation results from one unusual strategy.

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Young Jin Kim, Myungkyoon Roh, Seung-Woo Son. 2014-03-05. Network Structures between Strategies in Iterated Prisoners' Dilemma Games. https://doi.org/10.3938/jkps.64.341

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