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A quantum extension to inspection game

Author

Listed:
  • Xinyang Deng

    (School of Computer and Information Science, Southwest University
    Center for Quantitative Sciences, Vanderbilt University Medical Center)

  • Yong Deng

    (School of Computer and Information Science, Southwest University
    Institute of Integrated Automation, School of Electronic and Information Engineering, Xi’an Jiaotong University
    Big Data Decision Institute, Jinan University)

  • Qi Liu

    (Center for Quantitative Sciences, Vanderbilt University Medical Center
    Vanderbilt University Medical Center)

  • Shuhua Chang

    (Research Center for Mathematics and Economics, Tianjin University of Finance and Economics)

  • Zhen Wang

    (Interdisciplinary Graduate School of Engineering Sciences, Kyushu University)

Abstract

Quantum game theory is a new interdisciplinary field between game theory and system engineering research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our results show that the quantum inspection game has various Nash equilibria depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.

Suggested Citation

  • Xinyang Deng & Yong Deng & Qi Liu & Shuhua Chang & Zhen Wang, 2016. "A quantum extension to inspection game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(7), pages 1-7, July.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:7:d:10.1140_epjb_e2016-70052-4
    DOI: 10.1140/epjb/e2016-70052-4
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    References listed on IDEAS

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    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
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    Cited by:

    1. Samadi, Ali Hussein & Montakhab, Afshin & Marzban, Hussein & Owjimehr, Sakine, 2018. "Quantum Barro–Gordon game in monetary economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 94-101.
    2. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.

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    Statistical and Nonlinear Physics;

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