English

How strong can the Parrondo effect be?

Probability 2019-12-13 v1

Abstract

If the parameters of the original Parrondo games AA and BB are allowed to be arbitrary, subject to a fairness constraint, and if the two (fair) games AA and BB are played in an arbitrary periodic sequence, then the rate of profit can not only be positive, it can be arbitrarily close to 1 (i.e., 100%).

Cite

@article{arxiv.1901.08257,
  title  = {How strong can the Parrondo effect be?},
  author = {S. N. Ethier and Jiyeon Lee},
  journal= {arXiv preprint arXiv:1901.08257},
  year   = {2019}
}

Comments

20 pages, 3 figures

R2 v1 2026-06-23T07:20:40.844Z