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https://hdl.handle.net/2440/22845
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Type: | Journal article |
Title: | On Parrondo's paradox: How to construct unfair games by composing fair games |
Author: | Key, E. Klosek, M. Abbott, D. |
Citation: | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2006; 47(PN Part 4):495-511 |
Publisher: | Australian Mathematical Society |
Issue Date: | 2006 |
ISSN: | 1446-1811 1446-8735 |
Statement of Responsibility: | E. S. Key, M. M. Klosek and D. Abbott |
Abstract: | We construct games of chance from simpler games of chance. We show that it may happen that the simpler games of chance are fair or unfavourable to a player and yet the new combined game is favourable—this is a counter-intuitive phenomenon known as Parrondo's paradox. We observe that all of the games in question are random walks in periodic environments (RWPE) when viewed on the proper time scale. Consequently, we use RWPE techniques to derive conditions under which Parrondo's paradox occurs. |
Description: | © Australian MS |
DOI: | 10.1017/S1446181100010099 |
Published version: | http://www.austms.org.au/Publ/ANZIAM/V47P4/1898.html |
Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
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