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Proceedings Paper

Parrondo's games with strategy
Author(s): Christian P. Van den Broeck; Bart Cleuren
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Paper 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.

Paper Details

Date Published: 25 May 2004
PDF: 10 pages
Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.544274
Show Author Affiliations
Christian P. Van den Broeck, Limburgs Univ. Centrum (Belgium)
Bart Cleuren, Limburgs Univ. Centrum (Belgium)

Published in SPIE Proceedings Vol. 5471:
Noise in Complex Systems and Stochastic Dynamics II
Zoltan Gingl, Editor(s)

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