IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v269y2015icp699-713.html
   My bibliography  Save this article

Delay dynamics of a Cournot game with heterogeneous duopolies

Author

Listed:
  • Matsumoto, Akio
  • Szidarovszky, Ferenc

Abstract

We construct a Cournot duopoly model in a continuous-time framework and consider its dynamic behavior when the firms are heterogeneous in determining their output decision: one firm has an information delay in the competitor’s output as well as an implementation delay in its own output while the other firm does not have any delays. Two main results are obtained. One is that the information delay does not affect dynamics of the commodities and the other is that the implementation delay can destabilize the otherwise stable equilibrium. Furthermore, it is numerically confirmed that the two delay duopoly model can generate a wide spectrum of dynamics ranging from cyclic dynamics to chaos.

Suggested Citation

  • Matsumoto, Akio & Szidarovszky, Ferenc, 2015. "Delay dynamics of a Cournot game with heterogeneous duopolies," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 699-713.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:699-713
    DOI: 10.1016/j.amc.2015.07.051
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315009704
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.07.051?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. Mackey, Michael C., 1989. "Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors," Journal of Economic Theory, Elsevier, vol. 48(2), pages 497-509, August.
    2. Akio Matsumoto & Ferenc Szidarovszky, 2014. "Discrete-time delay dynamics of boundedly rational monopoly," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 53-79, April.
    3. Arnold B. Larson, 1964. "The Hog Cycle as Harmonic Motion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 46(2), pages 375-386.
    4. Howroyd, T. D. & Russell, A. M., 1984. "Cournot oligopoly models with time delays," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 97-103, October.
    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. Fander, Atieh & Yaghoubi, Saeed, 2024. "Dynamic delay-based game approach in car and petrol supply chains under government intervention," Applied Energy, Elsevier, vol. 376(PA).
    2. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela & Sîrghi, Nicoleta, 2024. "Dynamics of a discrete-time mixed oligopoly Cournot-type model with three time delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 524-539.
    3. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela, 2022. "Stability and bifurcations in a general Cournot duopoly model with distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

    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. He, Xue-Zhong & Li, Kai, 2012. "Heterogeneous beliefs and adaptive behaviour in a continuous-time asset price model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(7), pages 973-987.
    2. Kai Li, 2014. "Asset Price Dynamics with Heterogeneous Beliefs and Time Delays," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2014, January-A.
    3. He, Xue-Zhong & Zheng, Min, 2010. "Dynamics of moving average rules in a continuous-time financial market model," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 615-634, December.
    4. Rachida Hennani, 2015. "Can the Lasota(1977)’s model compete with the Mackey-Glass(1977)’s model in nonlinear modelling of financial time series?," Working Papers 15-09, LAMETA, Universtiy of Montpellier, revised Jun 2015.
    5. He, Xue-Zhong & Li, Kai & Wei, Junjie & Zheng, Min, 2009. "Market stability switches in a continuous-time financial market with heterogeneous beliefs," Economic Modelling, Elsevier, vol. 26(6), pages 1432-1442, November.
    6. Paul Zak, 1999. "Kaleckian Lags in General Equilibrium," Review of Political Economy, Taylor & Francis Journals, vol. 11(3), pages 321-330.
    7. Dieci, Roberto & Mignot, Sarah & Westerhoff, Frank, 2022. "Production delays, technology choice and cyclical cobweb dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    8. Kai Li, 2014. "Asset Price Dynamics with Heterogeneous Beliefs and Time Delays," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 13, July-Dece.
    9. Sophie Mitra & Jean-Marc Boussard, 2008. "Storage and the Volatility of Agricultural Prices: A Model of Endogenous Fluctuations," Fordham Economics Discussion Paper Series dp2008-11, Fordham University, Department of Economics.
    10. Ghassan Dibeh, 2001. "Time Delays and Business Cycles: Hilferding's model revisited," Review of Political Economy, Taylor & Francis Journals, vol. 13(3), pages 329-341.
    11. Chambers, Marcus J., 1998. "The estimation of systems of joint differential-difference equations," Journal of Econometrics, Elsevier, vol. 85(1), pages 1-31, July.
    12. Matsumoto, Akio & Szidarovszky, Ferenc, 2012. "Nonlinear delay monopoly with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 507-519.
    13. Poitras, Geoffrey, 2023. "Cobweb Theory, Market Stability, And Price Expectations," Journal of the History of Economic Thought, Cambridge University Press, vol. 45(1), pages 137-161, March.
    14. Labys, W C & Lesourd, J B & Badillo, D, 1998. "The existence of metal price cycles," Resources Policy, Elsevier, vol. 24(3), pages 147-155, September.
    15. Shu-Ling Chen & John D. Jackson & Hyeongwoo Kim & Pramesti Resiandini, 2014. "What Drives Commodity Prices?," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 96(5), pages 1455-1468.
    16. Allen M. Russell & John A. Rickard & T.D. Howroyd, 1986. "The Effects of Delays on the Stability and Rate of Convergence to Equilibrium of Oligopolies," The Economic Record, The Economic Society of Australia, vol. 62(2), pages 194-198, June.
    17. Victor Olkhov, 2022. "Market-Based Asset Price Probability," Papers 2205.07256, arXiv.org, revised Dec 2024.
    18. Lee, Tsoung-Chao & Seaver, Stanley K., 1980. "Forecasts Of Farm Animal Production In The New England States And In The U.S," Journal of the Northeastern Agricultural Economics Council, Northeastern Agricultural and Resource Economics Association, vol. 9(01), pages 1-6, April.
    19. Chaudhry, Muhammad Imran & Katchova, Ani & Miranda, Mario Javier, 2016. "Examining pricing mechanics in the poultry value chain - empirical evidence from Pakistan," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235953, Agricultural and Applied Economics Association.
    20. Akio Matsumoto & Ferenc Szidarovszky & Hiroyuki Yoshida, 2011. "Dynamics in Linear Cournot Duopolies with Two Time Delays," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 311-327, October.

    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:apmaco:v:269:y:2015:i:c:p:699-713. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.