Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games

Parrondo's paradox is becoming increasingly relevant in the natural sciences and biology since it is used as a paradigm in various ecological scenarios. Periodic fluctuations were incorporated into a Capital-dependent Parrondo's model in a recent study because periodic and quasi-periodic e...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Tan, Chi Haur
مؤلفون آخرون: Cheong Kang Hao
التنسيق: Final Year Project
اللغة:English
منشور في: Nanyang Technological University 2024
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/181321
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spelling sg-ntu-dr.10356-1813212024-11-25T15:37:47Z Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games Tan, Chi Haur Cheong Kang Hao School of Physical and Mathematical Sciences kanghao.cheong@ntu.edu.sg Mathematical Sciences Parrondo's paradox is becoming increasingly relevant in the natural sciences and biology since it is used as a paradigm in various ecological scenarios. Periodic fluctuations were incorporated into a Capital-dependent Parrondo's model in a recent study because periodic and quasi-periodic events are frequently seen not only in nature but also in areas of economics. However, a more comprehensive model is necessary due to the prevalence of biological and social systems characterized by Cooperative and Capital-dependence. We first extend the Cooperative variant of Parrondo's paradox to incorporate periodicity, followed by a switching strategy to show the existence of the Parrondo Effect. By incorporating both capital and cooperation, a new, unified model of Parrondo's Games can be developed for extensive application in ecological and economic contexts, such as behavioral diversity and noise in the stock markets. Bachelor's degree 2024-11-25T07:06:33Z 2024-11-25T07:06:33Z 2024 Final Year Project (FYP) Tan, C. H. (2024). Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/181321 https://hdl.handle.net/10356/181321 en application/pdf Nanyang Technological University
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Mathematical Sciences
spellingShingle Mathematical Sciences
Tan, Chi Haur
Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games
description Parrondo's paradox is becoming increasingly relevant in the natural sciences and biology since it is used as a paradigm in various ecological scenarios. Periodic fluctuations were incorporated into a Capital-dependent Parrondo's model in a recent study because periodic and quasi-periodic events are frequently seen not only in nature but also in areas of economics. However, a more comprehensive model is necessary due to the prevalence of biological and social systems characterized by Cooperative and Capital-dependence. We first extend the Cooperative variant of Parrondo's paradox to incorporate periodicity, followed by a switching strategy to show the existence of the Parrondo Effect. By incorporating both capital and cooperation, a new, unified model of Parrondo's Games can be developed for extensive application in ecological and economic contexts, such as behavioral diversity and noise in the stock markets.
author2 Cheong Kang Hao
author_facet Cheong Kang Hao
Tan, Chi Haur
format Final Year Project
author Tan, Chi Haur
author_sort Tan, Chi Haur
title Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games
title_short Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games
title_full Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games
title_fullStr Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games
title_full_unstemmed Noise in Parrondo's paradox: periodic variation in cooperative Parrondo games
title_sort noise in parrondo's paradox: periodic variation in cooperative parrondo games
publisher Nanyang Technological University
publishDate 2024
url https://hdl.handle.net/10356/181321
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