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Nonlinear dynamics of a quantum Cournot duopoly game with heterogeneous players

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Abstract

In this paper, a dynamic quantum Cournot duopoly game with heterogeneous players is proposed by applying the Li–Du–Massar scheme. We analyze the influence of the degree of quantum entanglement (DQE) on stability and dynamics behavior of the system. The result shows that: (i) The corresponding classical Cournot duopoly game is a special case of the dynamic quantum Cournot duopoly game. (ii) The stability region may increase or decrease as the DQE increases. It depends on the relative marginal cost difference. (iii) Numerical simulations show that the complicated dynamics behaviors of quantum Cournot game is different from that of corresponding classical model.

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Acknowledgements

The authors are indebted to editor and anonymous reviews for their very insightful comments and constructive suggestions, which help ameliorate the quality of this paper. This work was supported by National Natural Science Foundation of China (91646123 and 71471077).

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Authors and Affiliations

  1. School of Finance, Anhui University of Finance and Economics, Bengbu, 233030, China

    Lian Shi

  2. School of Management and Engineering, Nanjing University, Nanjing, 210093, China

    Feng Xu

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  1. Lian Shi
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  2. Feng Xu
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Correspondence to Feng Xu.

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Shi, L., Xu, F. Nonlinear dynamics of a quantum Cournot duopoly game with heterogeneous players. Quantum Inf Process 18, 227 (2019). https://doi.org/10.1007/s11128-019-2338-y

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