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

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Volume
392
Issue
20
Identifiers
DOI: 10.1016/j.physa.2013.05.048
Keywords
  • Parrondo’S Paradox
  • Transformation Of Stochastic Matrices
  • Win Over Loss Concept
Disciplines
  • Mathematics

Abstract

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.

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