Analysis of the Parrondo Paradox and Applications

Authors

  • Enyu Gao

DOI:

https://doi.org/10.54097/7n856166

Keywords:

Parrondo paradox; winning outcomes; losing strategies; game theory; statistical physics.

Abstract

The Parrondo paradox refers to a counterintuitive phenomenon where the combination of two losing strategies can result in a winning outcome. This paper examines the Parrondo paradox and its applications. The purpose of this study is to analyze the underlying mechanisms of the Parrondo paradox and explore its potential applications in various fields. In this research, a comprehensive analysis of existing literature and mathematical models is conducted to understand the theoretical foundations and practical implications of the Parrondo paradox. The results reveal that the emergence of the paradox is attributed to the interplay between deterministic and stochastic features in complex systems. By investigating the underlying mechanisms of the Parrondo paradox, this study contributes to a deeper understanding of complex systems and non-linear dynamics. Moreover, the applications of the Parrondo paradox are found in diverse fields such as finance, biology, and data analysis. It is concluded that the understanding of the Parrondo paradox can provide valuable insights for decision-making processes in dynamic and uncertain environments.

Downloads

Download data is not yet available.

References

Amengual P, Allison A, Toral R, et al. Discrete–time ratchets, the Fokker–Planck equation and Parrondo's paradox. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004, 460(2048): 2269-2284.

Arena P, Fazzino S, Fortuna L, et al. Game theory and non-linear dynamics: the Parrondo paradox case study. Chaos, Solitons & Fractals, 2003, 17(2-3): 545-555.

Lai J W, Cheong K H. Parrondo’s paradox from classical to quantum: A review. Nonlinear Dynamics, 2020, 100(1): 849-861.

Trautmann G, Groiseau C, Wimberger S. Parrondo’s paradox for discrete-time quantum walks in momentum space. Fluctuation and Noise Letters, 2022, 21(06): 2250053.

Cheong K H, Koh J M, Jones M C. Paradoxical survival: examining the Parrondo effect across biology. BioEssays, 2019, 41(6): 1900027.

Ivan B, El M N, Saiful B. Classification of soil types based on suitable plants using Multiclass Classification Artificial Neural Network. International Journal of Open Information Technologies, 2023, 11(3): 52-57.

Grünbaum F A, Pejic M. Maximal Parrondo’s paradox for classical and quantum Markov chains. Letters in Mathematical Physics, 2016, 106: 251-267.

Lai J W, Cheong K H. Social dynamics and Parrondo’s paradox: A narrative review. Nonlinear Dynamics, 2020, 101(1): 1-20.

Ethier S N, Lee J. The flashing Brownian ratchet and Parrondo’s paradox. Royal Society Open Science, 2018, 5(1): 171685.

Jia S, Lai J W, Koh J M, et al. Parrondo effect: exploring the nature-inspired framework on periodic functions. Physica A: Statistical Mechanics and its Applications, 2020, 556: 124714.

Lai J W, Cheong K H. Risk-taking in social Parrondo’s games can lead to Simpson’s paradox. Chaos, Solitons & Fractals, 2022, 158: 111911.

Wolpert D H. The Implications of the No-Free-Lunch Theorems for Meta-induction. Journal for General Philosophy of Science, 2023: 1-12.

Cheong K H, Wen T, Lai J W. Relieving cost of epidemic by parrondo's paradox: a COVID‐19 case study. Advanced Science, 2020, 7(24): 2002324.

Shu J J, Wang Q W. Beyond Parrondo's paradox. Scientific reports, 2014, 4(1): 4244.

Chow S, Huang, W, Li Y, et al. A Parrondo’s paradox of free energy and its application on molecular motors. Math Gatech, 2015.

Cheong K H, Koh J M, Jones M C. Multicellular survival as a consequence of Parrondo’s paradox. Proceedings of the National Academy of Sciences, 2018, 115(23): E5258-E5259.

Das C, Banerjee S, Gupta A K. Understanding Paradoxical Nature of Periodic Parrondo Game. Sustainable Humanosphere, 2020, 16(1): 425-435.

Lai J W, Cheong K H. A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022, 32(10).

Cheong K H, Wen T, Benler S, et al. Alternating lysis and lysogeny is a winning strategy in bacteriophages due to Parrondo's paradox. Proceedings of the National Academy of Sciences, 2022, 119(13): e2115145119.

Downloads

Published

29-03-2024

How to Cite

Gao, E. (2024). Analysis of the Parrondo Paradox and Applications. Highlights in Science, Engineering and Technology, 88, 383-390. https://doi.org/10.54097/7n856166