Construction of novel stochastic matrices for analysis of Parrondo’s paradox

Cheong, Kang Hao; Soo, Wayne Wah Ming

doi:10.1016/j.physa.2013.05.048

Cited by 21 publications

(6 citation statements)

References 19 publications

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“…Parrondo’s paradox 20 is a phenomenon whereby two losing games, when played alternately in a random order, surprisingly end up winning. There have been many studies exploring the paradox 21 22 23 24 25 26 27 and some involving population modeling and evolutionary biology 19 28 29 30 . Our results may possibly address the open problems involving Parrondo’s paradox in various evolutionary contexts 30 .…”

Section: Discussionmentioning

confidence: 99%

A Paradoxical Evolutionary Mechanism in Stochastically Switching Environments

Cheong

Tan

Xie

et al. 2016

Sci Rep

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Organisms with environmental sensors that guide survival are considered more likely to be favored by natural selection if they possess more accurate sensors. In this paper, we develop a theoretical model which shows that under certain conditions of environmental stochasticity, selection actually favors sensors of lower accuracy. An analogy between this counter-intuitive phenomenon and the well-known Parrondo’s paradox is suggested.

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Section: Discussionmentioning

confidence: 99%

A Paradoxical Evolutionary Mechanism in Stochastically Switching Environments

Cheong

Tan

Xie

et al. 2016

Sci Rep

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“…Around the same time that the mathematical and game‐theoretic aspects of the paradox were being investigated, numerous key studies in the life sciences had begun to suggest intriguing connections to genetics, ecology, and evolution. These studies have formed the basis for numerous future developments, and we therefore provide a preliminary overview for context in this section.…”

Section: Parrondo's Paradox Manifests Throughout Biologymentioning

confidence: 99%

Paradoxical Survival: Examining the Parrondo Effect across Biology

2019

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Parrondo's paradox, in which losing strategies can be combined to produce winning outcomes, has received much attention in mathematics and the physical sciences; a plethora of exciting applications has also been found in biology at an astounding pace. In this review paper, the authors examine a large range of recent developments of Parrondo's paradox in biology, across ecology and evolution, genetics, social and behavioral systems, cellular processes, and disease. Intriguing connections between numerous works are identified and analyzed, culminating in an emergent pattern of nested recurrent mechanics that appear to span the entire biological gamut, from the smallest of spatial and temporal scales to the largest—from the subcellular to the complete biosphere. In analyzing the macro perspective, the pivotal role that the paradox plays in the shaping of biological life becomes apparent, and its identity as a potential universal principle underlying biological diversity and persistence is uncovered. Directions for future research are also discussed in light of this new perspective.

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“…It may be possible to find analytical representations, like those carried out in refs 16, 17, 18, 19, which might help in understanding the five different behavioral patterns better. Whether such analytical functions exist is a subject for future work.…”

Section: Modelmentioning

confidence: 99%

Effects of behavioral patterns and network topology structures on Parrondo’s paradox

Cheong

Cen

et al. 2016

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A multi-agent Parrondo’s model based on complex networks is used in the current study. For Parrondo’s game A, the individual interaction can be categorized into five types of behavioral patterns: the Matthew effect, harmony, cooperation, poor-competition-rich-cooperation and a random mode. The parameter space of Parrondo’s paradox pertaining to each behavioral pattern, and the gradual change of the parameter space from a two-dimensional lattice to a random network and from a random network to a scale-free network was analyzed. The simulation results suggest that the size of the region of the parameter space that elicits Parrondo’s paradox is positively correlated with the heterogeneity of the degree distribution of the network. For two distinct sets of probability parameters, the microcosmic reasons underlying the occurrence of the paradox under the scale-free network are elaborated. Common interaction mechanisms of the asymmetric structure of game B, behavioral patterns and network topology are also revealed.

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Construction of novel stochastic matrices for analysis of Parrondo’s paradox

Cited by 21 publications

References 19 publications

A Paradoxical Evolutionary Mechanism in Stochastically Switching Environments

A Paradoxical Evolutionary Mechanism in Stochastically Switching Environments

Paradoxical Survival: Examining the Parrondo Effect across Biology

Effects of behavioral patterns and network topology structures on Parrondo’s paradox

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