Abstract
We consider a group of agents playing the Hawk-Dove game. These agents have a finite memory of past interactions which they use to optimize their play. By both analytical and numerical approaches, we show that an instability occurs at a critical memory length, and we provide its characterization. We show also that when the game is stable, having a long memory is beneficial but that instability, which may be produced by excessively long memory, hands the advantage to those with shorter memories.
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Burridge, J., Gao, Y. & Mao, Y. Delayed response in the Hawk Dove game. Eur. Phys. J. B 90, 13 (2017). https://doi.org/10.1140/epjb/e2016-70471-1
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DOI: https://doi.org/10.1140/epjb/e2016-70471-1