Please use this identifier to cite or link to this item: http://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, 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
RMID: 0020021179
DOI: 10.1142/S0219477502000701
Appears in Collections:Electrical and Electronic Engineering publications

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