Parrondo's paradox articles
Contents
Introduction
Below are the links to selected publications on Parrodo's paradox, and closely related phenomena, in order to get an overview of the development of the field. The wiki concept is exploited, for the purpose of quickly updating the information with ease. To return to the previous page, click the "back" button on your browser or to return to the Abbott Homepage scroll down to the links at the bottom of this page.
2013
[1] 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 500–510, http://dx.doi.org/10.1016/j.cnsns.2012.08.019
[2] 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. 17–26, http://dx.doi.org/10.1016/j.physa.2012.08.006
2012
[3] Tieyan Si, "An optical model for implementing Parrondo’s game and designing stochastic game with long-term memory," Chaos, Solitons & Fractals, Vol. 45, No. 11, 2012, pp. 1430–1436, http://dx.doi.org/10.1016/j.chaos.2012.08.004
[4] 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. 6146–6155, http://dx.doi.org/10.1016/j.physa.2012.07.024
[5] 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. 5197–5207, http://dx.doi.org/10.1016/j.physa.2012.06.008
2011
[6] 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. 23–24, 2011, pp. 4535–4542, http://dx.doi.org/10.1016/j.physa.2011.07.043
[7] 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. 579–586, http://dx.doi.org/10.1016/j.physa.2010.10.039
[8] Jiayi Guo, Nenggang Xie, and Ye Ye, "The theoretical analysis and computer simulation on Parrondo's history dependent games," Procedia Engineering, Vol. 15, 2011, pp. 4597–4602, http://dx.doi.org/10.1016/j.proeng.2011.08.863
[9] Steven A. Bleiler and Faisal Shah Khan, "Properly quantized history-dependent Parrondo games, Markov processes, and multiplexing circuits," Physics Letters A, Vol. 375, No. 19, 2011, pp. 1930–1943, http://dx.doi.org/10.1016/j.physleta.2011.03.051
[10] Rui Li, Yong-fei Zhu, Jia-yi Guo, Lu Wang, and Neng-gang Xie, "The quantum game interpretation for a special phenomenon of Parrondo's Paradox," Procedia Engineering, Vol. 15, 2011, pp. 3715–3722, http://dx.doi.org/10.1016/j.proeng.2011.08.696
[11] Neng-gang Xie, Yun Chen, Ye Ye, Gang Xu, Lin-gang Wang, and Chao Wang, "Theoretical analysis and numerical simulation of Parrondo’s paradox game in space," Chaos, Solitons & Fractals, Vol. 44, No. 6, 2011, pp. 401–414, http://dx.doi.org/10.1016/j.chaos.2011.01.014
2010
[12] Lei Chen, Chuan-Feng Li, Ming Gong, and Guang-Can Guo, "Quantum Parrondo game based on a quantum ratchet effect," Physica A: Statistical Mechanics and its Applications, Vol. 389, No. 19, 2010, pp. 4071–4074, http://dx.doi.org/10.1016/j.physa.2010.06.011
[13] Richard A. Epstein, "Chapter Four – Parrondo’s Principle" in The Theory of Gambling and Statistical Logic (Second Edition), Academic Press, 2010, pp. 74–94, http://dx.doi.org/10.1016/B978-0-12-374940-6.00004-8,
2008
[14] Ehrhard Behrends,"Stochastic dynamics and Parrondo’s paradox," Physica D: Nonlinear Phenomena, Vol. 237, No. 2, 2008, pp. 198–206, http://dx.doi.org/10.1016/j.physa.2011.07.043
2006
[15] J .S. Cánovas, A. Linero, and D. Peralta-Salas, "Dynamic Parrondo’s paradox," Physica D: Nonlinear Phenomena, Vol. 218, No. 2, 2006, pp. 177–184, http://dx.doi.org/10.1016/j.physd.2006.05.004
[16] Zoran Mihailović and Milan Rajković, "Cooperative Parrondo's games on a two-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Vol. 365, No. 1, 2006, pp. 244–251, http://dx.doi.org/10.1016/j.physa.2006.01.032
[17] P. Amengual, P. Meurs, B. Cleuren, and R. Toral, "Reversals of chance in paradoxical games," Physica A: Statistical Mechanics and its Applications, Vol. 371, No. 2, 2006, pp. 641–648, http://dx.doi.org/10.1016/j.physa.2006.03.038
2004
[18] Luis Dinís and Juan M. R. Parrondo, "Inefficiency of voting in Parrondo games," Physica A: Statistical Mechanics and its Applications, Vol. 343, 2004, pp. 701–711, http://dx.doi.org/10.1016/j.physa.2004.06.076
2003
[19] A. P. Flitney and D. Abbott, "Quantum models of Parrondo's games," Physica A: Statistical Mechanics and its Applications, Vol. 324, No. 1–2, 2003, pp. 152–156, http://dx.doi.org/10.1016/S0378-4371(02)01909-X
[20] R. Toral, Pau Amengual, and Sergio Mangioni, "Parrondo's games as a discrete ratchet," Physica A: Statistical Mechanics and its Applications, Vol. 327, No. 1–2, 2003, pp. 105–110, http://dx.doi.org/10.1016/S0378-4371(03)00459-X
[21] P. Arena, S. Fazzino, L. Fortuna, and P. Maniscalco, "Game theory and non-linear dynamics: the Parrondo Paradox case study," Chaos, Solitons & Fractals, Vol. 17, No. 2–3, 2003, pp. 545–555, http://dx.doi.org/10.1016/S0960-0779(02)00397-1
2002
[22] A. P. Flitney, J. Ng, and D. Abbott, "Quantum Parrondo's games," Physica A: Statistical Mechanics and its Applications, Vol. 314, No. 1–4, 2002, pp. 35–42, http://dx.doi.org/10.1016/S0378-4371(02)01084-1
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Purchase $31.50 Highlights ► 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. 25 You are not entitled to access the full text of this document 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
