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A quantum extension to inspection game

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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.

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Author information

Authors and Affiliations

  1. School of Computer and Information Science, Southwest University, Chongqing, 400715, P.R. China

    Xinyang Deng & Yong Deng

  2. Center for Quantitative Sciences, Vanderbilt University Medical Center, Nashville, TN, 37232, USA

    Xinyang Deng & Qi Liu

  3. Institute of Integrated Automation, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, P.R. China

    Yong Deng

  4. Big Data Decision Institute, Jinan University, Tianhe, Guangzhou, 510632, P.R. China

    Yong Deng

  5. Department of Biomedical Informatics, Vanderbilt University Medical Center, Nashville, TN, 37232, USA

    Qi Liu

  6. Research Center for Mathematics and Economics, Tianjin University of Finance and Economics, Tianjin, 300222, P.R. China

    Shuhua Chang

  7. Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Fukuoka, 816-8580, Japan

    Zhen Wang

Authors
  1. Xinyang Deng
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  2. Yong Deng
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  3. Qi Liu
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  4. Shuhua Chang
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  5. Zhen Wang
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Corresponding authors

Correspondence to Yong Deng or Zhen Wang.

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Deng, X., Deng, Y., Liu, Q. et al. A quantum extension to inspection game. Eur. Phys. J. B 89, 162 (2016). https://doi.org/10.1140/epjb/e2016-70052-4

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  • DOI: https://doi.org/10.1140/epjb/e2016-70052-4

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