Monotonicity and continuity of the critical capital stock in the Dechert–Nishimura model
AbstractWe show that the critical capital stock of the Dechert and Nishimura (1983) model is a decreasing and continuous function of the discount factor. We also show that the critical capital stock merges with a nonzero steady state as the discount factor decreases to a certain boundary value, and that the critical capital stock converges to the minimum sustainable capital stock as the discount factor increases to another boundary value.
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 Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 47 (2011)
Issue (Month): 6 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/jmateco
Other versions of this item:
- Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2011. "Monotonicity and Continuity of the Critical Capital Stock in the Dechert-Nishimura Model," Discussion Paper Series DP2011-20, Research Institute for Economics & Business Administration, Kobe University, revised Sep 2011.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D90 - Microeconomics - - Intertemporal Choice - - - General
- O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
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.:
- Kamihigashi, Takashi & Roy, Santanu, 2007.
"A nonsmooth, nonconvex model of optimal growth,"
Journal of Economic Theory,
Elsevier, vol. 132(1), pages 435-460, January.
- Takashi Kamihigashi & Santanu Roy, 2003. "A Nonsmooth, Nonconvex Model of Optimal Growth," Discussion Paper Series 158, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2003. "A Nonsmooth, Nonconvex Model of Optimal Growth," Discussion Paper Series 139, Research Institute for Economics & Business Administration, Kobe University.
- Takashi Kamihigashi & Santanu Roy, 2005. "A nonsmooth, nonconvex model of optimal growth," Discussion Paper Series 173, Research Institute for Economics & Business Administration, Kobe University.
- Levy, Amnon & Neri, Frank & Grass, Dieter, 2006.
"Macroeconomic Aspects Of Substance Abuse: Diffusion, Productivity And Optimal Control,"
Cambridge University Press, vol. 10(02), pages 145-164, April.
- Levy, Amnon & Neri, Frank, 2004. "Macroeconomic Aspects of Substance Abuse: Diffusion, Productivity and Optimal Control," Economics Working Papers wp04-22, School of Economics, University of Wollongong, NSW, Australia.
- repec:hal:cesptp:halshs-00197556 is not listed on IDEAS
- Haunschmied, J.L. & Feichtinger, G. & Hartl, R.F. & Kort, P.M., 2005.
"Keeping up with the technology pace : a DNS-curve and limit cycle in a technology investment decision problem,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-148453, Tilburg University.
- Haunschmied, Josef L. & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M., 2005. "Keeping up with the technology pace: A DNS-curve and a limit cycle in a technology investment decision problem," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 509-529, August.
- N. Hung & C. Le Van & P. Michel, 2009.
"Non-convex aggregate technology and optimal economic growth,"
Springer, vol. 40(3), pages 457-471, September.
- N. M. Hung & Cuong Le Van & P. Michel, 2008. "Non-convex Aggregate Technology and Optimal Economic Growth," Working Papers 05, Development and Policies Research Center (DEPOCEN), Vietnam.
- N.M. Hung & C. Le Van & P. Michel, 2006. "Non-Convex Aggregate Technology and Optimal Economic Growth," Cahiers de recherche 0603, Université Laval - Département d'économique.
- Manh Hung Nguyen & Cuong Le Van & Philippe Michel, 2005. "Non-convex aggregative technology and optimal economic growth," Cahiers de la Maison des Sciences Economiques b05095, Université Panthéon-Sorbonne (Paris 1).
- Le Van, C. & Morhaim, L., 2000.
"Optimal Growth Models with Bounded or Unbounded Returns : a Unifying Approach,"
Papiers d'Economie MathÃÂ©matique et Applications
2000.64, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
- LE VAN, Cuong & MORHAIM, Lisa, 2001. "Optimal growth models with bounded or unbounded returns: a unifying approach," CORE Discussion Papers 2001034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Wirl, Franz, 2004. "Thresholds in concave renewable resource models," Ecological Economics, Elsevier, vol. 48(2), pages 259-267, February.
- Majumdar, Mukul & Mitra, Tapan, 1982. "Intertemporal allocation with a non-convex technology: The aggregative framework," Journal of Economic Theory, Elsevier, vol. 27(1), pages 101-136, June.
- 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.
- Wagener, F.O.O., 2005.
"Structural analysis of optimal investment for firms with non-concave revenue,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 57(4), pages 474-489, August.
- Florian Wagener, 2004. "Structural analysis of optimal investment for firms with non-concave revenues," Computing in Economics and Finance 2004 187, Society for Computational Economics.
- Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-44, August.
- Cuong Le Van & Cagri Saglam & Agah Turan, 2014. "Optimal Growth Strategy Under Dynamic Threshold," Working Papers 2014-123, Department of Research, Ipag Business School.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.