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25 May 2004Parrondo's games with chaotic switching
This paper investigates the different effects of chaotic switching
on Parrondo's games, as compared to random and periodic switching.
The rate of winning of Parrondo's games with chaotic switching
depends on coefficient(s) defining the chaotic generator, initial
conditions of the chaotic sequence and the proportion of Game A
played. Maximum rate of winning can be obtained with all the above
mentioned factors properly set, and this occurs when chaotic
switching approaches periodic behavior.
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Tze Wei Tang, Andrew G. Allison, Derek Abbott, "Parrondo's games with chaotic switching," Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.561307