Difference between revisions of "Parrondo's paradox articles"

Revision as of 13:41, 24 November 2012

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

[12] Antonio Di Crescenzoa and Franco Pellerey, "Stochastic comparisons of series and parallel systems with randomized independent components," Operations Research Letters, Vol. 39, No. 5, 2011, pp. 380–384, http://dx.doi.org/10.1016/j.orl.2011.07.004

2010

[13] 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

[14] 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

[15] 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

[16] 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

[17] 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

[18] 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

2005

J. Almeida, D. Peralta-Salas, and M. Romera, "Can two chaotic systems give rise to order?" Physica D: Nonlinear Phenomena, Vol. 200, No. 1–2, 2005, pp. 124–132, http://dx.doi.org/10.1016/j.physd.2004.10.003

2004

[19] 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

[20] 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

[21] 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

[22] 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

P. Arena, S. Fazzino, L. Fortuna and P. Maniscalco, "Game theory and non-linear dynamics: the Parrondo's paradox case study," Chaos, Solitons and Fractals, Vol. 17, pp. 545-555, 2003.

C.H. Chang and T.Y. Tsong, "Truncation and reset process on the dynamics of Parrondo's games," Physical Review E, Vol. 67, No. 2, 025101, 2003.

L. Dinis and J.M.R. Parrondo, "Optimal strategies in collective Parrondo games," Europhysics Letters, Vol 63, No. 3, pp. 319-325, 2003.

R.J. Kay and N.F. Johnson, "Winning combinations of history-dependent games," Physical Review E, Vol. 67, No. 5, 056128, 2003.

G. Latouche and P.G. Taylor, "Drift conditions for matrix-analytic models," Mathematics of Operations Research, Vol. 28, No. 2, pp. 346-360, 2003.

Y. Lee, A. Allison, D. Abbott and H.E. Stanley, "Minimal Brownian ratchet: an exactly solvable model," Physical Review Letters, Vol. 91, No. 22, pp. 220601, 2003.

Z. Mihailovic and M. Rajkovic, "One dimensional asynchronous cooperative Parrondo's games," Fluctuation and Noise Letters, Vol. 3, No. 4, pp. L389-L398, 2003.

J.M.R. Parrondo and B.J. de Cisneros, "Paradoxical games and Brownian thermal engines," 2003. http://arxiv.org/pdf/cond-mat/0309053

Z. Mihailovic and M. Rajkovic, "Synchronous cooperative Parrondo's games," Fluctuation and Noise Letters, Vol. 3, No. 4, pp. L399-L406, 2003.

R. Toral, P. Amengual and S. Mangioni, "Parrondo's games as a discrete ratchet," Physica A, Vol. 327, pp. 105-110, 2003.

R. Toral, P. Amengual and S. Mangioni, "A Fokker-Planck description for Parrondo's games," Proceedings of SPIE, Vol. 309, No. 5114, 2003.

A.W. Ghosh and S.V. Khare, "Breaking of general rotational symmetries by multidimensional classical ratchets," Physical Review E, Vol. 67, 056110, 2003.

G.C. Berresford and A.M. Rocket, "Parrondo's Paradox," International Journal of Mathematics and Mathematical Sciences, Vol. 62, pp. 3957-3962, 2003.

E. Behrends, "Parrondos Paradoxon Ein stochastisches Perpetuum Mobile?" Mitteilungen der Deutschen Mathematiker-Verinigung, Vol. 1, pp. 5-10, 2003.

N.F. Johnson, P. Jefferies and P.M. Hui, Financial Market Complexity: What Physics Can Tell Us About Market Behaviour," Oxford University Press, 2003.

A.P. Flitney and D. Abbott, "Quantum models of Parrondo's games," Physica A, Vol. 324, pp. 152-156, 2003. top

2002

[23] 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

D. Abbott, P.C.W. Davies and C.R. Shalizi, "Order from disorder: the role of noise in creative processes. A special issue on game theory and evolutionary processes—overview," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. C1-C12, 2002.

R. Ait-Haddou and W. Herzog, "Force and motion generation of myosin motors: muscle contraction," Journal of Electromyography and Kinesiology, Vol. 12, pp. 435-445, 2002.

A. Allison and D. Abbott, "The physical basis for Parrondo's games," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. L327-L341, 2002.

J. Buceta, K. Lindenberg and J.M.R. Parrondo, "Pattern formation induced by nonequilibrium global alternation of dynamics," Physical Review E, Vol. 66, pp. 036216(1)-036216(11), 2002.

J. Buceta and K. Lindenberg, "Switching-induced Turing instability," Physical Review E, Vol. 66, 046202, 2002.

J. Buceta, K. Lindenberg and J.M.R. Parrondo, "Stationary and oscillatory spatial patterns induced by global periodic switching," Physical Review Letters, Vol. 88, No. 2, 024103, 2002.

J. Buceta, K. Lindenberg and J.M.R. Parrondo, "Spatial patterns induced by random switching," Fluctuation and Noise Letters, Vol. 2, No. 1, pp. L21-L29, 2002.

M. Bucolo, R. Caponetto, L. Fortuna, M. Frasca and A. Rizzo, "Does chaos work better than noise," Circuits and Systems Magazine, IEEE, Vol. 2, No. 3, pp. 4-19, 2002.

B. Cleuren and C. Van den Broeck, "Random walks with absolute negative mobility," Physical Review E, Vol. 65, 030101, 2002.

L. Dinis and J.M.R. Parrondo, "Parrondo's paradox and the risks of short-range optimization," 2002. http://arxiv.org/pdf/cond-mat/0212358

A.P. Flitney, J. Ng and D. Abbott, "Quantum Parrondo's games," Physica A, Vol. 314, pp. 35-42, 2002.

A.P. Flitney and D. Abbott, "An introduction to quantum game theory," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. R175-R188, 2002.

G.P. Harmer and D. Abbott, "A review of Parrondo's paradox," Fluctuation and Noise Letters, Vol. 2, No. 2, pp. R71-R107, 2002.

D. Heath, D. Kinderlehrer and M. Kowalczyk, "Discrete and continuous ratchets: from coin toss to molecular motor," Discrete and Continuous Dynamical Systems-Series B, Vol. 2, No. 2, pp. 153-167, 2002.

E.S. Key, M.M. Klosek and D. Abbott, "On Parrondo's paradox: how to construct unfair games by composing fair games," 2002. http://arxiv.org/pdf/math/0206151

L. Kocarev and Z. Tasev, "Lyapunov exponents, noise-induced synchronization, and Parrondo's paradox," Physical Review E , Vol. 65, pp. 046215(1)-046215(4), 2002.

C.F. Lee and N.F. Johnson, "Exploiting randomness in quantum information processing," Physics Letter A, Vol. 301, pp. 343-349, 2002.

C.F. Lee, N.F. Johnson, F. Rodriguez and L. Quiroga, "Quantum coherence, correlated noise and Parrondo games," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. L293-L298, 2002.

D. A. Meyer and H. Blumer, "Quantum Parrondo games: biased and unbiased," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. L257-L262, 2002.

D. A. Meyer and H. Blumer, "Parrondo games as lattice gas automata," Journal of Statistical Physics, Vol. 107, No. 1,2, pp. 225-239, 2002.

O.E. Percus and J.K. Percus, "Can two wrongs make a right? Coin-tossing games and Parrondo's paradox," Mathematical Intelligencer, Vol. 24, No. 3, pp. 68-72, 2002.

R. Pyke, "On random walks and diffusions related to Parrondo's games," 2002. http://arxiv.org/pdf/math.PR/0206150

L. Rasmusson and M. Boman, "Analytical expressions for Parrondo games," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. L343-L348, 2002.

P. Reimann, "Brownian motors: noisy transport far from equilibrium," Physics Reports, Vol. 361, pp. 57-265, 2002.

P. Reimann and P. Hanggi, "Introduction to the physics of Brownian motors," Applied Physics A, Vol. 75, pp. 169-178, 2002.

R. Toral, "Capital redistribution brings wealth by Parrondo's paradox," Fluctuation and Noise Letters, Vol. 2, No. 4, pp. L305-L311, 2002.

A. Allison and D. Abbott, "A MEMS Brownian ratchet," Microelectronics Journal (Elsevier), Vol. 33, No. 3, pp. 235-243, Mar. 2002.

S. Rahmann, "Optimal adaptive strategies for games of the Parrondo type," 2002 (Unpublished).

2001

D. Abbott, "Overview: unsolved problems of noise and fluctuations," Chaos, Vol. 11, No. 3, pp. 526-538, 2001.

R.D. Astumian, "Making molecules into motors," Scientific American, pp. 56-64, Jul. 2001.

A. Allison and D. Abbott, "Control systems with stochastic feedback," Chaos, Vol. 11, No. 3, pp. 715-724, 2001.

A. Allison and D. Abbott, "Stochastic resonance in a Brownian ratchet," Fluctuation and Noise Letters (Elsevier), Vol. 1, No. 4, pp. L239-244, Dec. 2001.

M. Boman, S.J. Johansson and D. Lyback, "Parrondo strategies for artificial traders," Intelligent Agent Technology (Eds: N. Zhong, J. Liu, S. Ohsuga and J. Bradshaw), pp. 150-159, 2001.

G.P. Harmer, D. Abbott, P.G. Taylor and J.M.R. Parrondo, "Brownian ratchets and Parrondo's games," Chaos, Vol. 11, No. 3, pp. 705-714, 2001.

R. Toral, "Cooperative Parrondo's games," Fluctuation and Noise Letters, Vol. 1, No. 1, pp. L7-L12, 2001.

2000

P.C.W. Davies, "Physics and life," The First Steps of Life in the Universe: Proceedings of the Sixth Trieste Conference on Chemical Evolution, (Ed: J. Chela-Flores, T.C. Owen and F. Raulin), Trieste, Italy, 18-22 September 2000.

G.P. Harmer, D. Abbott and P.G. Taylor, "The paradox of Parrondo's games," Proc. Royal Society London A, Vol. 456, pp. 247-259, 2000.

H. Moraal, "Counterintuitive behaviour in games based on spin models," Journal of Physics A: Math, Vol. 33, pp. L203-L206, 2000.

J.M.R. Parrondo, G.P. Harmer and D. Abbott, "New paradoxical games based on Brownian ratchets," Physical Review Letters, Vol. 85, No. 24, pp. 5226-5229, Dec. 2000.

1999

G.P. Harmer and D. Abbott, "Parrondo's paradox," Statistical Science, Vol. 14, No. 2, pp. 206-213, 1999.

G.P. Harmer and D. Abbott, "Losing strategies can win by Parrondo's paradox," Nature (London), Vol. 402, No. 6764, p. 864, Dec. 1999.

1996

Juan M. R. Parrondo, "How to cheat a bad mathematician," in EEC HC&M Network on Complexity and Chaos (#ERBCHRX-CT940546) , ISI, Torino, Italy (1996), Unpublished.

[24] Juan M.R. Parrondo, Christian van den Broeck, Javier Buceta, and F. Javier de la Rubia, "Noise-induced spatial patterns," Physica A: Statistical Mechanics and its Applications, Vol. 224, No. 1–2, 1996, pp. 153–161, http://dx.doi.org/10.1016/0378-4371(95)00350-9

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