Allison mixture and the two-envelope problem

Kang Hao Cheong, David B. Saakian, and Rubina Zadourian
Phys. Rev. E 96, 062303 – Published 4 December 2017

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.

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  • Received 17 October 2017
  • Revised 13 November 2017

DOI:https://doi.org/10.1103/PhysRevE.96.062303

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Interdisciplinary Physics

Authors & Affiliations

Kang Hao Cheong1, David B. Saakian2,3,4,*, and Rubina Zadourian5

  • 1Engineering Cluster, Singapore Institute of Technology, 10 Dover Drive, Singapore 138683, Singapore
  • 2Theoretical Physics Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
  • 3Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
  • 4A. I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, 2 Alikhanian Brothers Street, Yerevan 375036, Armenia
  • 5Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

  • *david.saakian@tdt.edu.vn

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Issue

Vol. 96, Iss. 6 — December 2017

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