Adelaide Research & Scholarship
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https://hdl.handle.net/2440/2474
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| Type: | Journal article |
| Title: | The paradox of Parrondo's games |
| Author: | Harmer, G. Abbott, D. Taylor, P. |
| Citation: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2000; 456(1994):247-259 |
| Publisher: | Royal Soc London |
| Issue Date: | 2000 |
| ISSN: | 1364-5021 1471-2946 |
| Statement of Responsibility: | Harmer, Gregory P. ; Abbott, Derek ; Taylor, Peter G. |
| Abstract: | We introduce Parrondo's paradox that involves games of chance. We consider two fair games, A and B, both of which can be made to lose by changing a biasing parameter. An apparently paradoxical situation arises when the two games are played in any alternating order. A winning expectation is produced, even though both games A and B are losing when we play them individually. We develop an explanation of the phenomenon in terms of a Brownian ratchet model, and also develop a mathematical analysis using discrete-time Markov chains. Prom the analysis we investigate the range of parameter values for which Parrondo's paradox exists. © 2000 The Royal Society. |
| DOI: | 10.1098/rspa.2000.0516 |
| Published version: | http://dx.doi.org/10.1098/rspa.2000.0516 |
| Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
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