IDEAS home Printed from https://ideas.repec.org/a/spr/decfin/v37y2014i1p53-79.html
   My bibliography  Save this article

Discrete-time delay dynamics of boundedly rational monopoly

Author

Listed:
  • Akio Matsumoto
  • Ferenc Szidarovszky

Abstract

This paper discusses the delay dynamics of monopoly with discrete timescales. It is assumed that a monopoly has delayed and limited information on demand. It is also assumed that the firm wants to react to an average of past data instead of reacting to sudden market changes and this average is used to determine the marginal profit. In the case of one-step delay, the output of the previous time period is selected. In the cases of two and three delays where data at one, two, and three previous time periods are available, it is shown that the steady state undergoes to complex dynamics through either a period-doubling or a Neimark–Sacker bifurcation, depending on the specified values of the parameters. Numerical examples illustrate the theoretical results. Finally, the case of geometric delay is also analyzed to show the birth of the period-doubling bifurcation. Copyright Springer-Verlag Italia 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:decfin:v:37:y:2014:i:1:p:53-79
    DOI: 10.1007/s10203-013-0141-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10203-013-0141-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10203-013-0141-2?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. Okuguchi, Koji & Irie, Kazuya, 1990. "The Schur and Samuelson Conditions for a Cubic Equation," The Manchester School of Economic & Social Studies, University of Manchester, vol. 58(4), pages 414-418, December.
    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. Laura Gardini & Noemi Schmitt & Iryna Sushko & Fabio Tramontana & Frank Westerhoff, 2019. "Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps," Working Papers 1908, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2019.
    2. 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.
    3. Cavalli, Fausto & Naimzada, Ahmad, 2015. "Effect of price elasticity of demand in monopolies with gradient adjustment," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 47-55.

    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. Amer Tabakovic, 2015. "On the Characterization of Steady-States in Three-Dimensional Discrete Dynamical Systems," DEM Discussion Paper Series 15-16, Department of Economics at the University of Luxembourg.
    2. Elsadany, A.A., 2012. "Competition analysis of a triopoly game with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1343-1348.
    3. Matsumoto, Akio & Szidarovszky, Ferenc, 2014. "Complex dynamics of monopolies with gradient adjustment," Economic Modelling, Elsevier, vol. 42(C), pages 220-229.
    4. Fabio Tramontana & Laura Gardini & Roberto Dieci & Frank Westerhoff, 2009. "The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-30, July.
    5. Laura Gardini & Noemi Schmitt & Iryna Sushko & Fabio Tramontana & Frank Westerhoff, 2019. "Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps," Working Papers 1908, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2019.
    6. Takeshi Yamazaki, 2016. "On the Works of Professor Koji Okuguchi," Springer Series in Game Theory, in: Pierre von Mouche & Federico Quartieri (ed.), Equilibrium Theory for Cournot Oligopolies and Related Games, pages 7-13, Springer.

    More about this item

    Keywords

    Bounded rationality; Delay with discrete timescales; Gradient dynamics; Hopf bifurcation; Neimark–Sacker bifurcation; D42; C62;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    Statistics

    Access and download statistics

    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:spr:decfin:v:37:y:2014:i:1:p:53-79. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.