Structural analysis of optimal investment for firms with non-concave revenue
Qualitative properties of optimal investment strategies for a firm with quadratic costs and non-concave revenues are analysed. Organising information in a bifurcation diagram, it is found that the organising centre of the diagram is a so-called swallow-tail singularity. This implies the existence of threshold (or Skiba) points for positive discount factors. The parameter region for which threshold points exist is determined numerically, and for small discount factors some of its properties are derived by an approximation method.
(This abstract was borrowed from another version of this item.)
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
- Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
- Tobin, James, 1969. "A General Equilibrium Approach to Monetary Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(1), pages 15-29, February.
- Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
- A. B. Treadway, 1969. "On Rational Entrepreneurial Behaviour and the Demand for Investment," Review of Economic Studies, Oxford University Press, vol. 36(2), pages 227-239.
- Rosser Jr., J. Barkley, 2007. "The rise and fall of catastrophe theory applications in economics: Was the baby thrown out with the bathwater?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3255-3280, October.
- Haunschmied, Josef L. & Kort, Peter M. & Hartl, Richard F. & Feichtinger, Gustav, 2003.
"A DNS-curve in a two-state capital accumulation model: a numerical analysis,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 27(4), pages 701-716, February.
- Haunschmied, J.L. & Kort, P.M. & Hartl, R.F. & Feichtinger, G., 2003. "A DNS-curve in a two-state capital accumulation model : A numerical analysis," Other publications TiSEM 3c849711-428b-42d8-972d-5, Tilburg University, School of Economics and Management.
- J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," Review of Economic Studies, Oxford University Press, vol. 35(1), pages 47-55.
- Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321-321. Full references (including those not matched with items on IDEAS)