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

Kang Hao Cheong and Wayne Wah Ming Soo

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 4727-4738

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.

Keywords: Parrondo’s paradox; Transformation of stochastic matrices; Win over loss concept (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:4727-4738

DOI: 10.1016/j.physa.2013.05.048

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