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Global Exponential Stability of Cournot Duopolies with Delays

Author

Listed:
  • Wei Chen

    (Shanghai Lixin University of Commerce)

  • Wentao Wang

    (Jiaxing University)

Abstract

This paper is concerned with Cournot duopolies with delays. By employing a novel proof, some sufficient criteria are established to ensure the existence of positive solutions and global exponential stability of Cournot equilibrium, which are new and complement of previously known results. Moreover, an example and its numerical simulations are given to support the theoretical result.

Suggested Citation

  • Wei Chen & Wentao Wang, 2016. "Global Exponential Stability of Cournot Duopolies with Delays," Computational Economics, Springer;Society for Computational Economics, vol. 48(1), pages 147-154, June.
    • Handle: RePEc:kap:compec:v:48:y:2016:i:1:d:10.1007_s10614-015-9503-x
    DOI: 10.1007/s10614-015-9503-x
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    References listed on IDEAS

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    1. 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.
    2. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
    3. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 133-134.
    4. Franklin M. Fisher, 1961. "The Stability of the Cournot Oligopoly Solution: The Effects of Speeds of Adjustment and Increasing Marginal Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 125-135.
    5. 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.
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    Cited by:

    1. Yu, Yu & Yu, Weisheng, 2021. "The stability and duality of dynamic Cournot and Bertrand duopoly model with comprehensive preference," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. 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).

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