Asymptotic Behavior of a Delay Differential Neoclassical Growth Model
AbstractA neoclassical growth model is examined with a special mound-shaped production function. Continuous time scales are assumed and a complete steady state and stability analysis is presented. Fixed delay is then assumed and it is shown how the asymptotic stability of the steady state is lost if the delay reaches a certain threshold, where Hopf bifurcation occurs. In the case of continuously distriubuted delays, we show that with small average delays stability is preserved, then lost at a threshold, then it is regained if the average delay becomes sufficiently large. The occurence of Hopf bifurcation is shown at both critical values.
Download InfoIf 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.
Bibliographic InfoArticle provided by MDPI, Open Access Journal in its journal Sustainability.
Volume (Year): 5 (2013)
Issue (Month): 2 (January)
Contact details of provider:
Web page: http://www.mdpi.com/
neoclassical growth model ; fixed time delay; Hopf bifurcation;
Find related papers by JEL classification:
- Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics
- Q0 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General
- Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation
- Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation
- Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
- Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
- O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
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.:
- Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June.
- Day, Richard H, 1983. "The Emergence of Chaos from Classical Economic Growth," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 201-13, May.
- Matsumoto, Akio & Szidarovszky, Ferenc, 2011. "Delay differential neoclassical growth model," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 272-289, May.
- Luciano Fanti & Piero Manfredi, 2003. "The Solow¡¯S Model With Endogenous Population: A Neoclassical Growth Cycle Model," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 28(2), pages 103-115, December.
- T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
- Richard H. Day, 1994. "Complex Economic Dynamics - Vol. 1: An Introduction to Dynamical Systems and Market Mechanisms," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262041413, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (XML Conversion Team).
If references are entirely missing, you can add them using this form.