One Dimensional Asynchronous Cooperative Parrondo's Games

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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10 pages, 4 figures, submitted to Fluctuations and Noise Letters

Scientific paper

An analytical result and an algorithm are derived for the probability
distribution of the one-dimensional cooperative Parrondo's games. We show that
winning and the occurrence of the paradox depends on the number of players.
Analytical results are compared to the results of the computer simulation and
to the results based on the mean-field approach.

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