A polyhedral approximation approach to concave numerical dynamic programming
This paper introduces a numerical method for solving concave continuous state dynamic programming problems which is based on a pair of polyhedral approximations of concave functions. The method is globally convergent and produces computable upper and lower bounds on the value function which can in theory be made arbitrarily tight. This is true regardless of the pattern of binding constraints, the smoothness of model primitives, and the dimensionality and rectangularity of the state space. We illustrate the method's performance using an optimal firm management problem subject to credit constraints and partial investment irreversibilities.
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.:
- Kiyotaki, Nobuhiro & Moore, John, 1997.
Journal of Political Economy,
University of Chicago Press, vol. 105(2), pages 211-48, April.
- Nobuhiro Kiyotaki & John Moore, 1995. "Credit Cycles," NBER Working Papers 5083, National Bureau of Economic Research, Inc.
- Ryo Kato, 2003. "Matlab code for Kiyotaki-Moore credit cycles," QM&RBC Codes 113, Quantitative Macroeconomics & Real Business Cycles.
- John Moore & Nobuhiro Kiyotaki, . "Credit Cycles," Discussion Papers 1995-5, Edinburgh School of Economics, University of Edinburgh.
- Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
- Kazuo Nishimura & John Stachurski, 2007.
"Equilibrium Storage With Multiple Commodities,"
CAMA Working Papers
2007-11, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
- Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, 07.
- Manuel S. Santos & Jesus Vigo-Aguiar, 1998. "Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models," Econometrica, Econometric Society, vol. 66(2), pages 409-426, March.
- John Stachurski, 2006.
"Continuous State Dynamic Programming Via Nonexpansive Approximation,"
KIER Working Papers
618, Kyoto University, Institute of Economic Research.
- John Stachurski, 2008. "Continuous State Dynamic Programming via Nonexpansive Approximation," Computational Economics, Society for Computational Economics, vol. 31(2), pages 141-160, March.
- John Stachurski, 2006. "Continuous State Dynamic Programming via Nonexpansive Approximation," Department of Economics - Working Papers Series 961, The University of Melbourne.
- Julia K. Thomas & Aubhik Khan, 2010.
"Credit Shocks and Aggregate Fluctuations in an Economy with Production Heterogeneity,"
2010 Meeting Papers
801, Society for Economic Dynamics.
- Aubhik Khan & Julia K. Thomas, 2013. "Credit Shocks and Aggregate Fluctuations in an Economy with Production Heterogeneity," Journal of Political Economy, University of Chicago Press, vol. 121(6), pages 1055 - 1107.
- Aubhik Khan & Julia K. Thomas, 2011. "Credit Shocks and Aggregate Fluctuations in an Economy with Production Heterogeneity," NBER Working Papers 17311, National Bureau of Economic Research, Inc.
- Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
- Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
- Andrew B. Abel & Janice C. Eberly, 1996. "Optimal Investment with Costly Reversibility," Review of Economic Studies, Oxford University Press, vol. 63(4), pages 581-593.
- Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," Review of Economic Studies, Oxford University Press, vol. 58(5), pages 853-881.
When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:37:y:2013:i:11:p:2322-2335. 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: (Zhang, Lei)
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.