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Differential quantum duopoly games

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  • Gong, Qingbin
  • Yang, Zhe

Abstract

We investigate the quantization of differential duopoly games, which is a dynamic quantum game with a constraint of ordinary differential equation. By solving such differential quantum game, we analyze the properties of the equilibrium solution. The numerical simulations show that the quantum objective functions are negatively correlated with the entanglement level.

Suggested Citation

  • Gong, Qingbin & Yang, Zhe, 2022. "Differential quantum duopoly games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    • Handle: RePEc:eee:phsmap:v:598:y:2022:i:c:s0378437122002916
    DOI: 10.1016/j.physa.2022.127376
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    References listed on IDEAS

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    1. Cellini, Roberto & Lambertini, Luca, 2007. "A differential oligopoly game with differentiated goods and sticky prices," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1131-1144, January.
    2. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    3. Xin, Baogui & Sun, Minghe, 2018. "A differential oligopoly game for optimal production planning and water savings," European Journal of Operational Research, Elsevier, vol. 269(1), pages 206-217.
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