A polyhederal approximation approach to concave numerical dynamic programming
This paper describes a method for solving concave numerical dynamic programming problems which is based a pair of polyhederal approximations of concave functions. The method is robust in that (i) it is globally convergent, (ii) it produces exact error bounds on the computed value function which can in theory be made arbitrarily tight, and (iii) its implementation boils down to solving a sequence of linear programs. This is true regardless of the dimensionality of the state space, the pattern of binding constraints, and the smoothness of model primitives. Numerical examples suggest that the method is capable of producing accurate solutions in an ecient manner.
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- John Stachurski, 2006.
"Continuous State Dynamic Programming via Nonexpansive Approximation,"
Department of Economics - Working Papers Series
961, The University of Melbourne.
- 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," KIER Working Papers 618, Kyoto University, Institute of Economic Research.
- Christopher Phelan & Robert M Townsend, 2010.
"Computing Multi-Period, Information Constrained Optima,"
Levine's Working Paper Archive
117, David K. Levine.
- Phelan, Christopher & Townsend, Robert M, 1991. "Computing Multi-period, Information-Constrained Optima," Review of Economic Studies, Wiley Blackwell, vol. 58(5), pages 853-81, October.
- Phelan, C. & Townsend, R.M., 1990. "Computing Multiperiod, Information-Constrained Optima," University of Chicago - Economics Research Center 90-13, Chicago - Economics Research Center.
- Andrew B. Abel & Janice C. Eberly, 1995.
"Optimal Investment with Costly Reversibility,"
NBER Working Papers
5091, National Bureau of Economic Research, Inc.
- Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
- 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.
- 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.
- John Moore & Nobuhiro Kiyotaki, .
1995-5, Edinburgh School of Economics, University of Edinburgh.
- 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, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
- Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
- 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.
- Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, 07.
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