Koh, Jin Ming and Cheong, Kang Hao (2020) Generalized Solutions of Parrondo's Games. Advanced Science, 7 (24). Art. No. 2001126. ISSN 2198-3844. PMCID PMC7740106. doi:10.1002/advs.202001126. https://resolver.caltech.edu/CaltechAUTHORS:20201109-133504227
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Abstract
In game theory, Parrondo's paradox describes the possibility of achieving winning outcomes by alternating between losing strategies. The framework had been conceptualized from a physical phenomenon termed flashing Brownian ratchets, but has since been useful in understanding a broad range of phenomena in the physical and life sciences, including the behavior of ecological systems and evolutionary trends. A minimal representation of the paradox is that of a pair of games played in random order; unfortunately, closed‐form solutions general in all parameters remain elusive. Here, we present explicit solutions for capital statistics and outcome conditions for a generalized game pair. The methodology is general and can be applied to the development of analytical methods across ratchet‐type models, and of Parrondo's paradox in general, which have wide‐ranging applications across physical and biological systems.
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| Additional Information: | © 2020 The Authors. Published by Wiley‐VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. Issue Online: 16 December 2020; Version of Record online: 07 November 2020; Manuscript revised: 18 June 2020; Manuscript received: 26 March 2020. This project was supported by the Singapore University of Technology and Design (Grant No. SRG SCI 2019 142). The authors thank the three anonymous reviewers for aiding them in improving the paper. The authors declare no conflict of interest. | |||||||||
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| Subject Keywords: | analytical methods, Brownian ratchets, game theory, generalized solutions, noise, non-linear dynamics, Parrondo’s paradox | |||||||||
| Issue or Number: | 24 | |||||||||
| PubMed Central ID: | PMC7740106 | |||||||||
| DOI: | 10.1002/advs.202001126 | |||||||||
| Record Number: | CaltechAUTHORS:20201109-133504227 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201109-133504227 | |||||||||
| Official Citation: | Koh, J. M., Cheong, K. H., Generalized Solutions of Parrondo's Games. Adv. Sci. 2020, 7, 2001126. https://doi.org/10.1002/advs.202001126 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 106515 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 09 Nov 2020 21:40 | |||||||||
| Last Modified: | 16 Nov 2021 18:54 |
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