IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

On human capital and economic growth with random technology shocks

Listed author(s):
  • Alberto BUCCI


  • Cinzia COLAPINTO


  • Martin FORSTER


  • Davide LA TORRE


We embed the Uzawa-Lucas human capital accumulation technology into the Mankiw-Romer-Weil exogenous growth model. The paper is divided into two parts. In the first part we assume that the rate of technological progress is exogenous and deterministic and study the local dynamics of the model around its steady-state equilibrium. The first order conditions lead to a system of four nonlinear differential equations. By reducing the dimension of the system to three, we find that the equilibrium is a saddle point. If the equations system is attacked in its original dimension, and by making use of an arbitrage condition, we prove that the equilibrium is unstable. In the second part of the paper technology is assumed to be subject to random shocks driven by a geometric Brownian motion. Using the Hamilton-Jacobi-Bellman equation, and through numerical simulations, we discuss the effects of technology shocks on the optimal policies of consumption and the allocation of human capital across sectors.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: no

Paper provided by Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano in its series Departmental Working Papers with number 2008-36.

in new window

Date of creation: 05 Nov 2008
Handle: RePEc:mil:wpdepa:2008-36
Contact details of provider: Postal:
Via Conservatorio 7, I-20122 Milan - Italy

Phone: +39 02 50321522
Fax: +39 02 50321505
Web page:

More information through EDIRC

No references listed on IDEAS
You can help add them by filling out this form.

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:mil:wpdepa:2008-36. 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: (DEMM Working Papers)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.