Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/59727
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Asymmetry and disorder: A decade of Parrondo's Paradox |
Author: | Abbott, D. |
Citation: | Fluctuation and Noise Letters (FNL), 2010; 9(1):129-156 |
Publisher: | World Scientific Publishing Co. Pty. Ltd. |
Issue Date: | 2010 |
ISSN: | 0219-4775 1793-6780 |
Abstract: | In 1996, Parrondo's games were first constructed using a simple coin tossing scenario, demonstrating the paradoxical situation where individually losing games combine to win. Parrondo's principle has become paradigmatic for situations where losing strategies or deleterious effects can combine to win. Intriguingly, there are deep connections between the Parrondo effect and a range of physical phenomena, as it turns out that Parrondo's original games are a discrete-time and discrete-space version of a flashing Brownian ratchet. This has been formally established via discretization of the Fokker–Planck equation. Over the past decade, many examples ranging from physics to population genetics have been reported in the literature pointing to the generality of Parrondo's principle. In general terms, the Parrondo effect occurs where there is a nonlinear interaction of random behavior with an asymmetry, and can be mathematically understood in terms of a convex linear combination. Many effects, where randomness plays a constructive role, such as stochastic resonance, volatility pumping, the Brazil nut paradox, etc., can be viewed as being in the class of Parrondian phenomena. We will briefly review the history of Parrondo's paradox, recent developments, and connections to related phenomena. |
Keywords: | Parrondo's paradox Parrondo's games Brownian ratchets game theory volatility pumping random mixtures Allison mixtures |
Rights: | Copyright © 2010 World Scientific Publishing Co. All rights reserved. |
DOI: | 10.1142/S0219477510000010 |
Published version: | http://dx.doi.org/10.1142/s0219477510000010 |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.