Parrondo's paradox articles

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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 500–510, http://dx.doi.org/10.1016/j.cnsns.2012.08.019


[1] 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

[2] 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

[3] 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

[4] 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

[5] 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

2008

[6] 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

2004

[7] 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



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Purchase $39.95 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. 9 You are entitled to access the full text of this document 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 Open Show preview | PDF (300 K) | Related articles | Related reference work articles 10 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 11 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 Highlights ► 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. 12 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $37.95 13 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 14 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 15 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 16 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 17 You are entitled to access the full text of this document 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 Open Show preview | PDF (379 K) | Related articles | Related reference work articles 18 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $39.95 Highlights ► 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. 19 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $39.95 20 You are not entitled to access the full text of this document Chapter Four - Parrondo’s Principle The Theory of Gambling and Statistical Logic (Second Edition), 2010, Pages 74-94 Richard A. Epstein Open Show preview | Related articles | Related reference work articles

Purchase $31.50 21 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $39.95 Highlights ► 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. 22 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $31.50 23 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

Purchase $37.95 24 You are not entitled to access the full text of this document 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 Open Show preview | Related articles | Related reference work articles

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

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