IDEAS home Printed from https://ideas.repec.org/p/sce/scecf1/103.html
   My bibliography  Save this paper

A numerically computed DNS-curve in a two state capital accumulation model

Author

Listed:
  • Haunschmied, J.L., Kort, P.M., Hartl, R.F., Feichtinger, G.

Abstract

In this paper we study a capital accumulation model in an optimal control theoretic framework, where the capital stock and the investment rate are modeled as state variables and the change in the investment rate as control. Adjustment costs are introduced for both investment rate and the change in the investment rate. Moreover, we model network externalities by a convex segment in the revenue function, which implies the existence of two long-run optimal steady states, one with a low level and the another with a high level capital stock. It depends on the initial capital endowment and initial investment rate to which steady state it is optimal to converge. We numerically compute a curve in the state plane, starting from which the decision-maker is indifferent between converging to one of these steady states, and identify this curve by DNS-curve; its negative slope shows that there is a trade-off between initial capital endowment and initial investment rate.

Suggested Citation

  • Haunschmied, J.L., Kort, P.M., Hartl, R.F., Feichtinger, G., 2001. "A numerically computed DNS-curve in a two state capital accumulation model," Computing in Economics and Finance 2001 103, Society for Computational Economics.
  • Handle: RePEc:sce:scecf1:103
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    More about this item

    Keywords

    multiple equilibria; invariant stable manifolds; discontinous feedback rule; capital accumulation;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing

    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:sce:scecf1:103. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum). General contact details of provider: http://edirc.repec.org/data/sceeeea.html .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.