Abstract
In the present study, we have investigated the Allison mixture, a variant of the Parrondo's games where random mixing of two random sequences creates autocorrelation. We have obtained the autocorrelation function and mutual entropy of two elements. Our analysis shows that the mutual information is nonzero even if two distributions have identical average values. We have also considered the two-envelope problem and solved for its exact probability distribution.
- Received 17 October 2017
- Revised 13 November 2017
DOI:https://doi.org/10.1103/PhysRevE.96.062303
©2017 American Physical Society