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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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    1. Alonso-Sanz, Ramón, 2019. "Simulation of the quantum Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Piotrowski, E.W & Sładkowski, J, 2002. "Quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.
    3. Piotrowski, Edward W. & Sładkowski, Jan, 2002. "Quantum bargaining games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.
    4. Nicolas Brunner & Noah Linden, 2013. "Connection between Bell nonlocality and Bayesian game theory," Nature Communications, Nature, vol. 4(1), pages 1-6, October.
    5. Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017. "Profit intensity and cases of non-compliance with the law of demand/supply," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59.
    6. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
    7. Angelini, Natascia & Dieci, Roberto & Nardini, Franco, 2009. "Bifurcation analysis of a dynamic duopoly model with heterogeneous costs and behavioural rules," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3179-3196.
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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).
    3. Wang, Chun & Pi, Jinxiu & Zhou, Die & Tang, Wei & Yang, Guanghui, 2023. "Dynamics of n-person Cournot games with asymmetric information and heterogeneous expectations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    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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