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

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  • Cheong, Kang Hao
  • Soo, Wayne Wah Ming

Abstract

In Parrondo’s paradox, a winning strategy is formed either by playing two losing games randomly or alternating them periodically. The paradox is commonly analyzed using stochastic matrices. In this paper, we modify the stochastic matrices to allow a more systematic introduction of bias into fair processes, while retaining the use of simple matrix operations throughout the analysis.

Suggested Citation

  • Cheong, Kang Hao & Soo, Wayne Wah Ming, 2013. "Construction of novel stochastic matrices for analysis of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4727-4738.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:4727-4738
    DOI: 10.1016/j.physa.2013.05.048
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    References listed on IDEAS

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    Cited by:

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