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Spatial simulation of the quantum Bertrand duopoly game

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  • Alonso-Sanz, Ramon
  • Adamatzky, Andrew

Abstract

The quantum Bertrand duopoly game is studied in this work via spatial numerical simulation. It is found that the implemented simulation converges to the Pareto optimal solution if the prices are strongly entangled, even if such a solution is not in Nash equilibrium.

Suggested Citation

  • Alonso-Sanz, Ramon & Adamatzky, Andrew, 2020. "Spatial simulation of the quantum Bertrand duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    • Handle: RePEc:eee:phsmap:v:557:y:2020:i:c:s0378437120304490
    DOI: 10.1016/j.physa.2020.124867
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    References listed on IDEAS

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    1. Alonso-Sanz, Ramón & Martin-Gutierrez, Samuel, 2020. "The free-rider in the quantum Stackelberg duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    2. Osborne, Martin J., 2009. "Introduction to Game Theory: International Edition," OUP Catalogue, Oxford University Press, number 9780195322484.
    3. Alonso-Sanz, Ramón, 2019. "Simulation of the quantum Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. Salman Khan & M. Ramzan & M. K. Khan, 2010. "Quantum Model of Bertrand Duopoly," Papers 1001.2831, arXiv.org, revised Oct 2010.
    Full references (including those not matched with items on IDEAS)

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