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Effect of partial-collapse measurement on quantum Stackelberg duopoly game in noninertial frame

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Abstract

An efficient method is proposed to improve the payoffs of the firms in quantum Stackelberg duopoly game under noninertial frame using partial-collapse measurement. It is shown that the payoffs of firms can be enhanced to a great extent. We obtain the maximally retrievable payoffs of firms for maximally entangled initial state and unentangled initial state respectively. In particular, the payoffs of firms approach to certain constants and Nash equilibrium exists for the whole range values of the acceleration parameter by changing partial-collapse measurement strength. Our work provides a novel method to recover payoffs in quantum game under Unruh decoherence and exhibits the ability of partial-collapse measurement as an important technique in relativistic quantum game.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11374096 and 11604094), the Natural Science Foundation of Hunan Province of China (Grant No. 2016JJ2044) and the Major Program for the Research Foundation of Education Bureau of Hunan Province of China (Grant No. 16A057).

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Authors and Affiliations

  1. College of Science, Hunan University of Technology, Zhuzhou, 412007, Hunan, China

    Xiang-Ping Liao, Chang-Ning Pan & Man-Sheng Rong

  2. School of Physics and Electronics, Hunan Normal University, Changsha, 410081, Hunan, China

    Mao-Fa Fang

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  1. Xiang-Ping Liao
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  2. Chang-Ning Pan
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  4. Mao-Fa Fang
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Correspondence to Xiang-Ping Liao.

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Liao, XP., Pan, CN., Rong, MS. et al. Effect of partial-collapse measurement on quantum Stackelberg duopoly game in noninertial frame. Quantum Inf Process 18, 91 (2019). https://doi.org/10.1007/s11128-019-2212-y

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