25 May 2004 Parrondo's games with strategy
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Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.544274
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain
Abstract
The notion of a strategy in the multi-player version of the Parrondo game is reviewed. We calculate the gain for the greedy strategy as a function of the number N of players, including exact analytic results for N < 4 and in the limit N→∞. We show that the greedy strategy is optimal for N = 1 and N = 2 but not for N = 3. In the limit N→∞ our analysis reveals a very rich behavior including the possibility of phase transitions as a function of the chosen strategy.
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Christian P. Van den Broeck, Christian P. Van den Broeck, Bart Cleuren, Bart Cleuren, } "Parrondo's games with strategy", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.544274; https://doi.org/10.1117/12.544274
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