Please use this identifier to cite or link to this item: http://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: The 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
RMID: 0020060920
DOI: 10.1017/S1446181100010099
Published version: http://www.austms.org.au/Publ/ANZIAM/V47P4/1898.html
Appears in Collections:Electrical and Electronic Engineering publications

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