Inequality Constraints in Recursive Economies

This file is part of IDEAS, which uses RePEc data

Inequality Constraints in Recursive Economies

Author Info

Pontus Rendahl

Additional information is available for the following registered author(s):

Pontus Rendahl

Abstract

Dynamic models with inequality constraints pose a challenging problem for two major reasons: Dynamic Programming techniques often necessitate a non established differentiability of the value function, while Euler equation based techniques have problematic or unknown convergence properties. This paper aims to resolve these two concerns: An "envelope theorem" is presented that establishes the differentiability of any element in the convergent sequence of approximate value functions when inequality constraints may bind. As a corollary, convergence of an iterative procedure on the Euler equation, usually referred to as time iteration, is ascertained. This procedure turns out to be very convenient from a computational perspective; dynamic economic problems with inequality constraints can be solved reliably and extremely efficiently by exploiting the theoretical insights provided by the paper.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. 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.

Publisher Info
Paper provided by European University Institute in its series Economics Working Papers with number ECO2006/6.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: 2006
Date of revision:
Handle: RePEc:eui:euiwps:eco2006/6

Contact details of provider:
Postal: Badia Fiesolana, Via dei Roccettini, 9, 50016 San Domenico di Fiesole (FI) Italy
Phone: +39-055-4685.982
Fax: +39-055-4685.902
Web page: http://www.eui.eu/ECO/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Marcia Gastaldo).

Other versions of this item:

Paper
- Rendahl Pontus, 2006. "Inequality Constraints in Recursive Economies," Computing in Economics and Finance 2006 174, Society for Computational Economics. [Downloadable!]

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models

This paper has been announced in the following NEP Reports:

NEP-ALL-2006-05-20 (All new papers)
NEP-CBA-2006-05-20 (Central Banking)
NEP-CMP-2006-05-20 (Computational Economics)
NEP-DGE-2006-05-20 (Dynamic General Equilibrium)

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.:

Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March. [Downloadable!] (restricted)
Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July. [Downloadable!] (restricted)
Other versions:
- Lawrence J. Christiano & Jonas D. M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Staff Report 171, Federal Reserve Bank of Minneapolis. [Downloadable!]
- Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for Solving Dynamic Models with Occasionally Binding Constraints," NBER Technical Working Papers 0218, National Bureau of Economic Research, Inc.
- Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues WP-97-15, Federal Reserve Bank of Chicago.
- Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper 9711, Federal Reserve Bank of Cleveland. [Downloadable!]
- Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
Per Krusell & Anthony A. Smith, Jr., . "Income and Wealth Heterogeneity, Portfolio Choice, and Equilibrium Asset Returns," GSIA Working Papers 1997-45, Carnegie Mellon University, Tepper School of Business.
Other versions:
- Krusell, Per & Smith, Anthony A., 1997. "Income And Wealth Heterogeneity, Portfolio Choice, And Equilibrium Asset Returns," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 387-422, June. [Downloadable!]
Christopher Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," Economics Working Paper Archive 520, The Johns Hopkins University,Department of Economics. [Downloadable!]
Other versions:
- Christopher D. Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," CFS Working Paper Series 2005/18, Center for Financial Studies. [Downloadable!]
- Christopher D. Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," NBER Technical Working Papers 0309, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
- Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June. [Downloadable!] (restricted)
- Christopher Carroll, 2005. "Mathematica and Matlab Programs for The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," Economics Companion Software Archive 1, The Johns Hopkins University,Department of Economics. [Downloadable!]
Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May. [Downloadable!] (restricted)
Coleman, Wilbur John, II, 1990. "Solving the Stochastic Growth Model by Policy-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 27-29, January.
McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42. [Downloadable!] (restricted)
Other versions:
- Ellen R. McGrattan, 1993. "Solving the stochastic growth model with a finite element method," Staff Report 164, Federal Reserve Bank of Minneapolis. [Downloadable!]
Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October. [Downloadable!] (restricted)
Other versions:
- Per Krusell & Anthony A. Smith, Jr., . "Income and Wealth Heterogeneity in the Macroeconomy," GSIA Working Papers 1997-37, Carnegie Mellon University, Tepper School of Business.
- Krusell, P & Smith Jr, A-A, 1995. "Income and Wealth Heterogeneity in the Macroeconomic," RCER Working Papers 399, University of Rochester - Center for Economic Research (RCER).
Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-48, September. [Downloadable!] (restricted)
Other versions:
- Angus Deaton, 1989. "Saving and Liquidity Constraints," NBER Working Papers 3196, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
- Deaton, A., 1989. "Saving And Liquidity Constraints," Papers 153, Princeton, Woodrow Wilson School - Public and International Affairs.
Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May. [Downloadable!] (restricted)
Other versions:
- Patrick J. Kehoe & Fabrizio Perri, 2000. "International business cycles with endogenous incomplete markets," Staff Report 265, Federal Reserve Bank of Minneapolis. [Downloadable!]
- Patrick J. Kehoe & Fabrizio Perri, 2000. "International Business Cycles with Endogenous Incomplete Markets," NBER Working Papers 7870, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Aiyagari, S Rao, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, MIT Press, vol. 109(3), pages 659-84, August. [Downloadable!] (restricted)
Other versions:
- S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis. [Downloadable!]

Full references

Cited by:
(explanations, 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.)

Emilio Espino & Thomas Hintermaier, 2009. "Asset trading volume in a production economy," Economic Theory, Springer, vol. 39(2), pages 231-258, May. [Downloadable!] (restricted)
Other versions:
- Thomas Hintermaier & Emilio Espino, 2005. "Asset Trading Volume in a Production Economy," 2005 Meeting Papers 363, Society for Economic Dynamics. [Downloadable!]

Statistics

Access and download statistics

Did you know? You can use convenient plug-ins to search directly IDEAS from your browser.

This page was last updated on 2009-11-12.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.