View source for Parrondo's paradox articles

==2013==
Marius-F. Danca, "Convergence of a parameter switching algorithm for a class of nonlinear continuous systems and a generalization of Parrondo’s paradox," ''Communications in Nonlinear Science and Numerical Simulation,'' '''Vol. 18''', No. 3, 2013, Pages 500&ndash;510,   http://dx.doi.org/10.1016/j.cnsns.2012.08.019 


[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYA_soo2013.pdf]
Wayne Wah Ming Soo and Kang Hao Cheong, "Parrondo’s paradox and complementary Parrondo processes," ''Physica A: Statistical Mechanics and its Applications,'' '''Vol. 392''', No. 1, 2013, pp. 17&ndash;26, http://dx.doi.org/10.1016/j.physa.2012.08.006

==2012==
[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYA_xie2012.pdf]
Neng-gang Xie, Jia-yi Guo, Ye Ye, Chao Wang, and Lu Wang, "The paradox of group behaviors based on Parrondo’s games," ''Physica A: Statistical Mechanics and its Applications,'' '''Vol. 391,''' No. 23, 2012, pp. 6146&ndash;6155, http://dx.doi.org/10.1016/j.physa.2012.07.024

[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYA_wang2012.pdf]
Lu Wang, Yong-fei Zhu, Ye Ye, Rui Meng, Neng-gang Xie, "The coupling effect of the process sequence and the parity of the initial capital on Parrondo’s games," ''Physica A: Statistical Mechanics and its Applications,'' '''Vol. 391,''' No. 21, 2012, pp. 5197&ndash;5207,     http://dx.doi.org/10.1016/j.physa.2012.06.008

==2011==
[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYA_wang2011.pdf]
Lu Wang, Neng-gang Xie, Yong-fei Zhu, Ye Ye, and Rui Meng, "Parity effect of the initial capital based on Parrondo’s games and the quantum interpretation," ''Physica A: Statistical Mechanics and its Applications,'' '''Vol. 390''', No. 23&ndash;24, 2011, pp. 4535&ndash;4542, http://dx.doi.org/10.1016/j.physa.2011.07.043

[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYA_zhu2011.pdf]
Yong-fei Zhu, Neng-gang Xie, Ye Ye, and Fa-rui Peng, "Quantum game interpretation for a special case of Parrondo’s paradox," ''Physica A: Statistical Mechanics and its Applications,'' '''Vol. 390,''' No. 4, 2011, pp. 579&ndash;586, http://dx.doi.org/10.1016/j.physa.2010.10.039

==2008==
[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYD_behrends2008.pdf]
Ehrhard Behrends,"Stochastic dynamics and Parrondo’s paradox," ''Physica D: Nonlinear Phenomena,'' '''Vol. 237''', No. 2, 2008, pp. 198&ndash;206, http://dx.doi.org/10.1016/j.physa.2011.07.043

==2004==
[http://www.eleceng.adelaide.edu.au/personal/dabbott/parrondo/PYA_dinis2004.pdf]
Luis Dinís and Juan M. R. Parrondo, "Inefficiency of voting in Parrondo games," ''Physica A: Statistical Mechanics and its Applications'', Vol. 343, 2004, pp. 701&ndash;711, http://dx.doi.org/10.1016/j.physa.2004.06.076




	
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Highlights
► We present the convergence proof of a parameter switching algorithm for a class of nonlinear systems. ► Any attractor can be numerically approximated. ► New way to control and anticontrol of chaos. ► Generalizations of Parrondo’s paradox are obtained.
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	The theoretical analysis and computer simulation on Parrondo's history dependent games Original Research Article
Procedia Engineering, Volume 15, 2011, Pages 4597-4602
Jiayi Guo, Nenggang Xie, Ye Ye
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	Quantum models of Parrondo's games Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 324, Issues 1–2, 1 June 2003, Pages 152-156
A.P. Flitney, D. Abbott
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	Properly quantized history-dependent Parrondo games, Markov processes, and multiplexing circuits
Physics Letters A, Volume 375, Issue 19, 9 May 2011, Pages 1930-1943
Steven A. Bleiler, Faisal Shah Khan
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► History-dependent Parrondo games are viewed as Markov processes. ► Quantum mechanical analogues of these Markov processes are constructed. ► These quantum analogues restrict to the original process on measurement. ► Relationship between these analogues and a quantum circuits is exhibited.
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	Dynamic Parrondo’s paradox Original Research Article
Physica D: Nonlinear Phenomena, Volume 218, Issue 2, 15 June 2006, Pages 177-184
J.S. Cánovas, A. Linero, D. Peralta-Salas
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	Cooperative Parrondo's games on a two-dimensional lattice Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 365, Issue 1, 1 June 2006, Pages 244-251
Zoran Mihailović, Milan Rajković
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	Quantum Parrondo's games Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 314, Issues 1–4, 1 November 2002, Pages 35-42
A.P. Flitney, J. Ng, D. Abbott
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	Quantum Parrondo game based on a quantum ratchet effect Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 389, Issue 19, 1 October 2010, Pages 4071-4074
Lei Chen, Chuan-Feng Li, Ming Gong, Guang-Can Guo
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	Parrondo's games as a discrete ratchet Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 327, Issues 1–2, 1 September 2003, Pages 105-110
R. Toral, Pau Amengual, Sergio Mangioni
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	The Quantum Game Interpretation for a Special Phenomenon of Parrondo's Paradox Original Research Article
Procedia Engineering, Volume 15, 2011, Pages 3715-3722
Rui Li, Yong-fei Zhu, Jia-yi Guo, Lu Wang, Neng-gang Xie
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	Theoretical analysis and numerical simulation of Parrondo’s paradox game in space Original Research Article
Chaos, Solitons & Fractals, Volume 44, Issue 6, June 2011, Pages 401-414
Neng-gang Xie, Yun Chen, Ye Ye, Gang Xu, Lin-gang Wang, Chao Wang
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► A multi-agent spatial Parrondo game model is designed. ► Double actions between individual and its neighbors are discussed. ► The weak and strong paradox conditions are established by theoretical analysis. ► Research results demonstrate some new biological points. ► Competition is an adaptive behavior on the population level too.
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	Game theory and non-linear dynamics: the Parrondo Paradox case study Original Research Article
Chaos, Solitons & Fractals, Volume 17, Issues 2–3, July 2003, Pages 545-555
P. Arena, S. Fazzino, L. Fortuna, P. Maniscalco
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	Chapter Four - Parrondo’s Principle
The Theory of Gambling and Statistical Logic (Second Edition), 2010, Pages 74-94
Richard A. Epstein
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	An optical model for implementing Parrondo’s game and designing stochastic game with long-term memory Original Research Article
Chaos, Solitons & Fractals, Volume 45, Issue 11, November 2012, Pages 1430-1436
Tieyan Si
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► Using a photon propagating through a designed array of beam splitters to simulate Parrondo’s game paradox. ► Design the optical flowchart for implementing Parrondo history-dependent game paradox. ► Design new game with long-term memory on a designed tree lattice and loop lattice.
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	Reversals of chance in paradoxical games Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 371, Issue 2, 15 November 2006, Pages 641-648
P. Amengual, P. Meurs, B. Cleuren, R. Toral
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	Can two chaotic systems give rise to order? Original Research Article
Physica D: Nonlinear Phenomena, Volume 200, Issues 1–2, 1 January 2005, Pages 124-132
J. Almeida, D. Peralta-Salas, M. Romera
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	Stochastic comparisons of series and parallel systems with randomized independent components
Operations Research Letters, Volume 39, Issue 5, September 2011, Pages 380-384
Antonio Di Crescenzo, Franco Pellerey
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► Systems of components chosen from two different batches are considered. ► The reliability of the system when components are randomly chosen is investigated. ► Stochastic comparisons results are provided for different random extractions. ► It is shown that series systems improve under randomness in extraction from batches. ► The opposite conclusion holds for parallel systems.
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	Noise-induced spatial patterns Original Research Article
Physica A: Statistical Mechanics and its Applications, Volume 224, Issues 1–2, 1 February 1996, Pages 153-161
Juan M.R. Parrondo, Christian van den Broeck, Javier Buceta, F.Javier de la Rubia