Open Access Paper
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.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Christian P. Van den Broeck and Bart Cleuren "Parrondo's games with strategy", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.544274
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Cited by 2 scholarly publications.
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KEYWORDS
Fractal analysis

Strategic intelligence

Switching

Algorithms

Control systems

Facility engineering

Mechanics

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