IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v37y2014icp251-254.html
   My bibliography  Save this article

Controls of the complex dynamics of a multi-market Cournot model

Author

Listed:
  • Ahmed, E.
  • Elettreby, M.F.

Abstract

In this paper, a multi-market Cournot game is proposed based on a specific inverse demand function. The game is studied statically and dynamically. Puu's incomplete information approach, as a realistic method, is used to contract the corresponding dynamical model under this function. Therefore, some stability analysis is carried out on the model to detect the stability and instability conditions of the system's Nash equilibrium. Based on that analysis some dynamic phenomena such as bifurcation and chaos are found. Under certain assumption, chaos control is performed in order to control the monopolistic model. Furthermore, a dynamic multi-market Cournot model is introduced.

Suggested Citation

  • Ahmed, E. & Elettreby, M.F., 2014. "Controls of the complex dynamics of a multi-market Cournot model," Economic Modelling, Elsevier, vol. 37(C), pages 251-254.
    • Handle: RePEc:eee:ecmode:v:37:y:2014:i:c:p:251-254
    DOI: 10.1016/j.econmod.2013.11.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0264999313004999
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econmod.2013.11.016?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. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    2. Subhadip Chakrabarti & Hans Haller, 2011. "An Analysis Of Advertising Wars," Manchester School, University of Manchester, vol. 79(1), pages 100-124, January.
    3. Ahmed, E. & Elettreby, M.F. & Hegazi, A.S., 2006. "On Puu’s incomplete information formulation for the standard and multi-team Bertrand game," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1180-1184.
    4. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
    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. 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. Askar, S.S., 2022. "Nonlinear dynamic investigations and global analysis of a Cournot duopoly game with two different objectives," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Thomas Vallée & Gino Baudry & Patrice Guillotreau, 2017. "To discard or to coproduce by recycling waste: An output constraint analysis," Working Papers halshs-01591879, HAL.
    4. Wang, Chun & Pi, Jinxiu & Zhou, Die & Tang, Wei & Yang, Guanghui, 2023. "Dynamics of n-person Cournot games with asymmetric information and heterogeneous expectations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    5. Yi, Qi Guo & Zeng, Xiang Jin, 2015. "Complex dynamics and chaos control of duopoly Bertrand model in Chinese air-conditioning market," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 231-237.
    6. Askar, S.S., 2021. "On complex dynamics of Cournot-Bertrand game with asymmetric market information," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    7. Sameh S. Askar, 2020. "The Influences of Asymmetric Market Information on the Dynamics of Duopoly Game," Mathematics, MDPI, vol. 8(7), pages 1-12, July.
    8. Xiaogang Ma & Chunyu Bao & Jizi Li & Wandong Lou, 2022. "The impact of dual fairness concerns on bargaining game and its dynamic system stability," Annals of Operations Research, Springer, vol. 318(1), pages 357-382, November.
    9. Sameh S Askar & Abdulrahman Al-Khedhairi, 2020. "Local and Global Dynamics of a Constraint Profit Maximization for Bischi–Naimzada Competition Duopoly Game," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
    10. Sameh Askar & Abdulaziz Foul & Tarek Mahrous & Saleh Djemele & Emad Ibrahim, 2021. "Global and Local Analysis for a Cournot Duopoly Game with Two Different Objective Functions," Mathematics, MDPI, vol. 9(23), pages 1-14, December.
    11. Peng, Yu & Xiao, Yue & Lu, Qian & Wu, Xue & Zhao, Yueru, 2020. "Chaotic dynamics in Cournot duopoly model with bounded rationality based on relative profit delegation maximization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(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. Chen, Jiawei, 2009. "The effects of mergers with dynamic capacity accumulation," International Journal of Industrial Organization, Elsevier, vol. 27(1), pages 92-109, January.
    2. Adrien Hervouet & Michel Trommetter, 2020. "Public-private R&D partnerships: A solution to increase knowledge sharing in R&D cooperation," Working Papers hal-02906270, HAL.
    3. Margarida Catalão-Lopes, 2002. "Merge or Concentrate? Some Insights for Antitrust Policy," Working Papers w200207, Banco de Portugal, Economics and Research Department.
    4. Zanchettin, Piercarlo & Mukherjee, Arijit, 2017. "Vertical integration and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 55(C), pages 25-57.
    5. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2014. "Local and global dynamics in a duopoly with price competition and market share delegation," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 253-270.
    6. Guido Candela & Roberto Cellini, 2006. "Investment in Tourism Market: A Dynamic Model of Differentiated Oligopoly," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 35(1), pages 41-58, September.
    7. Cellini, Roberto & Lambertini, Luca & Ottaviano, Gianmarco I.P., 2020. "Strategic inattention, delegation and endogenous market structure," European Economic Review, Elsevier, vol. 121(C).
    8. Wanzenried, Gabrielle, 2003. "Capital structure decisions and output market competition under demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 21(2), pages 171-200, February.
    9. Emanuele Bacchiega & Olivier Bonroy & Emmanuel Petrakis, 2018. "Contract contingency in vertically related markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 27(4), pages 772-791, October.
    10. Hattori Keisuke & Lin Ming-Hsin, 2011. "Alliance Partner Choice in Markets with Vertical and Horizontal Externalities," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-27, June.
    11. Brown, Murray & Chiang, Shin-Hwan, 2002. "Unsystematic risk and coalition formation in product markets," International Journal of Industrial Organization, Elsevier, vol. 20(3), pages 313-338, March.
    12. Yue, Xiaohang & Mukhopadhyay, Samar K. & Zhu, Xiaowei, 2006. "A Bertrand model of pricing of complementary goods under information asymmetry," Journal of Business Research, Elsevier, vol. 59(10-11), pages 1182-1192, October.
    13. Yasunori Ouchida & Daisaku Goto, 2011. "A Note on Environmental R&D under Time-Consistent Emission Tax," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 10(3), pages 257-260, December.
    14. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    15. Luca Lambertini, 2009. "Optimal Product Proliferation in Monopoly: A Dynamic Analysis," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 1(1), pages 80-97, September.
    16. Mukhopadhyay, Samar K. & Yue, Xiaohang & Zhu, Xiaowei, 2011. "A Stackelberg model of pricing of complementary goods under information asymmetry," International Journal of Production Economics, Elsevier, vol. 134(2), pages 424-433, December.
    17. Andrea Mantovani, 2013. "The Strategic Effect of Bundling: A New Perspective," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 42(1), pages 25-43, February.
    18. Andrea Mantovani & Jan Vandekerckhove, 2016. "The Strategic Interplay Between Bundling and Merging in Complementary Markets," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 37(1), pages 19-36, January.
    19. Olivier Bonroy & Christos Constantatos, 2015. "On the Economics of Labels: How Their Introduction Affects the Functioning of Markets and the Welfare of All Participants," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 97(1), pages 239-259.
    20. Pinopoulos, Ioannis N., 2011. "Input pricing by an upstream monopolist into imperfectly competitive downstream markets," Research in Economics, Elsevier, vol. 65(3), pages 144-151, September.

    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:ecmode:v:37:y:2014:i:c:p:251-254. 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.elsevier.com/locate/inca/30411 .

    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.