IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v534y2019ics0378437119312312.html
   My bibliography  Save this article

Simulation of the quantum Cournot duopoly game

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119312312
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.122116?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Villena, Marcelo J. & Araneda, Axel A., 2017. "Dynamics and stability in retail competition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 37-53.
    2. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
    3. A. A. Elsadany & A. M. Awad, 2016. "Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(4), pages 617-639, December.
    4. H Peyton Young, 2014. "The Evolution of Social Norms," Economics Series Working Papers 726, University of Oxford, Department of Economics.
    5. Falk Armin & Kosfeld Michael, 2012. "It's all about Connections: Evidence on Network Formation," Review of Network Economics, De Gruyter, vol. 11(3), pages 1-36, September.
    6. Ding, Zhanwen & Shi, Guiping, 2009. "Cooperation in a dynamical adjustment of duopoly game with incomplete information," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 989-993.
    7. Fanti, Luciano & Gori, Luca, 2013. "Efficient bargaining versus right to manage: A stability analysis in a Cournot duopoly with trade unions," Economic Modelling, Elsevier, vol. 30(C), pages 205-211.
    8. Michael Kosfeld, 2002. "Stochastic strategy adjustment in coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 321-339.
    9. Xin, Baogui & Ma, Junhai & Gao, Qin, 2009. "The complexity of an investment competition dynamical model with imperfect information in a security market," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2425-2438.
    10. Sanjeev Goyal & Fernando Vega-Redondo, 2000. "Learning, Network Formation and Coordination," Econometric Society World Congress 2000 Contributed Papers 0113, Econometric Society.
    11. Siegfried Berninghaus & Hans Haller & Alexander Outkin, 2006. "Neural networks and contagion," Revue d'économie industrielle, De Boeck Université, vol. 0(2), pages 11-11.
    12. Conley, John P. & Neilson, William S., 2013. "Endogenous coordination and discoordination games: Multiculturalism and assimilation," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 176-191.
    13. S. S. Askar & A. Al-khedhairi, 2019. "Analysis of a Four-Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms," Complexity, Hindawi, vol. 2019, pages 1-12, May.
    14. Manuel Förster & Michel Grabisch & Agnieszka Rusinowska, 2012. "Ordered Weighted Averaging in Social Networks," Documents de travail du Centre d'Economie de la Sorbonne 12056, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    15. Carlos Alós-Ferrer & Georg Kirchsteiger & Markus Walzl, 2010. "On the Evolution of Market Institutions: The Platform Design Paradox," Economic Journal, Royal Economic Society, vol. 120(543), pages 215-243, March.
    16. Fernando Vega Redondo, 1993. "On The Evolution Of Cooperation In General Games Of Common Interest," Working Papers. Serie AD 1993-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    17. Leonardo Boncinelli, 2007. "Choice under Markovian Constraints," Department of Economics University of Siena 516, Department of Economics, University of Siena.
    18. Desirée Desierto, 2012. "Imitation Dynamics with Spatial Poisson-Distributed Review and Mutation Rates," UP School of Economics Discussion Papers 201204, University of the Philippines School of Economics.
    19. van Damme, E.E.C., 1995. "Game theory : The next stage," Other publications TiSEM 7779b0f9-bef5-45c7-ae6b-7, Tilburg University, School of Economics and Management.
    20. Norman, Thomas W.L., 2009. "Rapid evolution under inertia," Games and Economic Behavior, Elsevier, vol. 66(2), pages 865-879, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312312. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.