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Simulation of the quantum Cournot duopoly game

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  • Alonso-Sanz, Ramón

Abstract

This article studies the quantum Cournot duopoly game via the iterated confronting of a large number of players laying in a two-dimensional lattice. In every iteration, every player plays with his nearest partners and adopts the strategy of his best paid nearest mate. Variable degree of quantum entanglement is taken into consideration in the study.

Suggested Citation

  • Alonso-Sanz, Ramón, 2019. "Simulation of the quantum Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312312
    DOI: 10.1016/j.physa.2019.122116
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    References listed on IDEAS

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    1. Agiza, H.N. & Elsadany, A.A., 2003. "Nonlinear dynamics in the Cournot duopoly game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 512-524.
    2. Osborne, Martin J., 2009. "Introduction to Game Theory: International Edition," OUP Catalogue, Oxford University Press, number 9780195322484, Decembrie.
    3. Chen, Liang & Chen, Guanrong, 2007. "Controlling chaos in an economic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 349-358.
    4. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    5. Alonso-Sanz, Ramón, 2018. "Collective quantum games with Werner-like states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 812-827.
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    Cited by:

    1. 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).
    2. 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).
    3. 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).
    4. Zhou, Die & Pi, Jinxiu & Yang, Guanghui & Yang, Hui, 2022. "Nonlinear dynamics of a heterogeneous quantum Commons’ tragedy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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