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Quantum Cournot duopoly game with isoelastic demand function

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  • Shi, Lian
  • Xu, Feng
  • Chen, Yongtai

Abstract

This paper studies the quantum Cournot duopoly games with isoelastic demand function and unequal marginal costs by using the Li–Du–Massar and the Frąckiewicz quantum schemes. The influences of relative marginal cost and degree of quantum entanglement on the optimal profits of the two players are analyzed theoretically and illustrated numerically. The results show that the profit of one player increase, but the profit of the other player decreases with increasing the relative marginal cost for any fixed degree of quantum entanglement. The profits of two players both increase with increasing the degree of quantum entanglement as the relative marginal cost is in a certain range.

Suggested Citation

  • Shi, Lian & Xu, Feng & Chen, Yongtai, 2021. "Quantum Cournot duopoly game with isoelastic demand function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    • Handle: RePEc:eee:phsmap:v:566:y:2021:i:c:s0378437120309122
    DOI: 10.1016/j.physa.2020.125614
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    References listed on IDEAS

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    Cited by:

    1. Yan, Bo & Ahmadi, Atefeh & Mehrabbeik, Mahtab & Rajagopal, Karthikeyan & He, Shaobo & Jafari, Sajad, 2022. "Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Li, Bo & Liang, Houjun & Shi, Lian & He, Qizhi, 2022. "Complex dynamics of Kopel model with nonsymmetric response between oligopolists," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
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    4. Yongfei Li & Jiangtao Wang & Bin Wang & Clark Luo, 2024. "A Study of Quantum Game for Low-Carbon Transportation with Government Subsidies and Penalties," Sustainability, MDPI, vol. 16(7), pages 1-23, April.

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