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Generalized Solutions of Parrondo's Games.

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.

SUBMITTER: Koh JM

PROVIDER: S-EPMC7740106 | biostudies-literature | 2020 Dec

REPOSITORIES: biostudies-literature

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Generalized Solutions of Parrondo's Games.

Koh Jin Ming JM Cheong Kang Hao KH

Advanced science (Weinheim, Baden-Wurttemberg, Germany) 20201107 24

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; u ...[more]

PMID: 33344113

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