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https://hdl.handle.net/2440/2351
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Type: | Journal article |
Title: | A review of Parrondo's paradox |
Author: | Harmer, G. Abbott, D. |
Citation: | Fluctuation and Noise Letters (FNL), 2002; 2(2):R71-R107 |
Publisher: | World Scientific Publishing Co. Pty. Ltd. |
Issue Date: | 2002 |
ISSN: | 0219-4775 1793-6780 |
Statement of Responsibility: | 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 |
DOI: | 10.1142/S0219477502000701 |
Published version: | http://dx.doi.org/10.1142/s0219477502000701 |
Appears in Collections: | Aurora harvest 6 Electrical and Electronic Engineering publications |
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