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|Title:||A review of Parrondo's paradox|
|Citation:||Fluctuation and Noise Letters, 2002; 2(2):R71-R107|
|Publisher:||World Scientific Publishing Co. Pty. Ltd.|
|Gregory P. Harmer and Derek Abbott|
|Abstract:||Inspired by the flashing Brownian ratchet, Parrondo's games present an apparently paradoxical situation. The games can be realized as coin tossing events. Game A uses a single biased coin while game B uses two biased coins and has a state dependent rule based on the player's current capital. Playing each of the games individually causes the player to lose. However, a winning expectation is produced when randomly mixing games A and B. This phenomenon is investigated and mathematically analyzed to give explanations on how such a process is possible. The games are expanded to become dependent on other properties rather that the capital of the player. Some of the latest developments in Parrondian ratchet or discrete-time ratchet theory are briefly reviewed.|
|Keywords:||Parrondo's paradox; discrete-time Brownian ratchets|
|Description:||© World Scientific Publishing Company|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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