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Quantum models of Parrondo's games

Author

Listed:
  • Flitney, A.P.
  • Abbott, D.

Abstract

A Parrondo's paradox is an effect where two losing games, when combined, can produce a net winning result. We provide a short introduction to quantum versions of Parrondo's games and review the current status of the work.

Suggested Citation

  • Flitney, A.P. & Abbott, D., 2003. "Quantum models of Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 152-156.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:1:p:152-156
    DOI: 10.1016/S0378-4371(02)01909-X
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    Citations

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    Cited by:

    1. Piotrowski, Edward W. & Sładkowski, Jan, 2008. "Quantum auctions: Facts and myths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.
    2. Ye, Ye & Zhang, Xin-shi & Liu, Lin & Xie, Neng-Gang, 2021. "Effects of group interactions on the network Parrondo’s games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    3. Cheong, Kang Hao & Soo, Wayne Wah Ming, 2013. "Construction of novel stochastic matrices for analysis of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4727-4738.
    4. Soo, Wayne Wah Ming & Cheong, Kang Hao, 2013. "Parrondo’s paradox and complementary Parrondo processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 17-26.
    5. Edward W. Piotrowski & Jan Sladkowski, "undated". "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
    6. Zhu, Yong-fei & Xie, Neng-gang & Ye, Ye & Peng, Fa-rui, 2011. "Quantum game interpretation for a special case of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 579-586.
    7. Fotoohinasab, Atiyeh & Fatemizadeh, Emad & Pezeshk, Hamid & Sadeghi, Mehdi, 2018. "Denoising of genetic switches based on Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 410-420.
    8. Soo, Wayne Wah Ming & Cheong, Kang Hao, 2014. "Occurrence of complementary processes in Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 180-185.
    9. Ho Fai Ma & Ka Wai Cheung & Ga Ching Lui & Degang Wu & Kwok Yip Szeto, 2019. "Effect of Information Exchange in a Social Network on Investment," Computational Economics, Springer;Society for Computational Economics, vol. 54(4), pages 1491-1503, December.
    10. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Games and Programmable Quantum Systems," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics.
    11. Ye, Ye & Hang, Xiao Rong & Koh, Jin Ming & Miszczak, Jarosław Adam & Cheong, Kang Hao & Xie, Neng-gang, 2020. "Passive network evolution promotes group welfare in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    12. Wang, Lu & Xie, Neng-gang & Zhu, Yong-fei & Ye, Ye & Meng, Rui, 2011. "Parity effect of the initial capital based on Parrondo’s games and the quantum interpretation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4535-4542.

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