Fitted Value Function Iteration With Probability One Contractions
This paper studies a value function iteration algorithm that can be applied to almost all stationary dynamic programming problems. Using nonexpansive function approximation and Monte Carlo integration, we develop a randomized fitted Bellman operator and a corresponding algorithm that is globally convergent with probability one. When additional restrictions are imposed, an OP(n-1/2) rate of convergence for Monte Carlo error is obtained.
|Date of creation:||Oct 2011|
|Contact details of provider:|| Postal: Canberra, ACT 2601|
Phone: +61 2 6125 3807
Fax: +61 2 6125 0744
Web page: http://rse.anu.edu.au/
More information through EDIRC
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.:
- John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, July.
- John Stachurski, 2008.
"Continuous State Dynamic Programming via Nonexpansive Approximation,"
Springer;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.
- John Stachurski, 2006. "Continuous State Dynamic Programming Via Nonexpansive Approximation," KIER Working Papers 618, Kyoto University, Institute of Economic Research.
- Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, 09.
- Josep Pijoan-Mas, 2006. "Precautionary Savings or Working Longer Hours?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 326-352, April.
- Josep Pijoan-Mas, 2004. "Precautionary Savings or Working Longer Hours?," 2004 Meeting Papers 350, Society for Economic Dynamics.
- Pijoan-Mas, Josep, 2005. "Precautionary Savings or Working Longer Hours?," CEPR Discussion Papers 5322, C.E.P.R. Discussion Papers.
- Stockman, Alan C & Tesar, Linda L, 1995. "Tastes and Technology in a Two-Country Model of the Business Cycle: Explaining International Comovements," American Economic Review, American Economic Association, vol. 85(1), pages 168-185, March.
- Alan C. Stockman & Linda L. Tesar, 1990. "Tastes and Technology in a Two-Country Model of the Business Cycle: Explaining International Comovements," NBER Working Papers 3566, National Bureau of Economic Research, Inc.
- Alan C. Stockman & Linda L. Tesar, 1991. "Tastes and technology in a two-country model of the business cycle: explaining international co-movements," Working Paper 9019, Federal Reserve Bank of Cleveland.
- S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
- S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
- Marimon, Ramon & Scott, Andrew (ed.), 2001. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780199248278.
- Fukushima, Kenichi & Waki, Yuichiro, 2013. "A polyhedral approximation approach to concave numerical dynamic programming," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2322-2335.
- Yuichiro Waki & Kenichi Fukushima, 2011. "A polyhederal approximation approach to concave numerical dynamic programming," 2011 Meeting Papers 689, Society for Economic Dynamics.
- Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
- Michele Boldrin & Lawrence J. Christiano & Jonas D. M. Fisher, 1999. "Habit persistence, asset returns and the business cycles," Working Paper Series WP-99-14, Federal Reserve Bank of Chicago.
- Michele Boldrin & Lawrence J. Christiano & Jonas D. M. Fisher, 2000. "Habit persistence, asset returns and the business cycle," Staff Report 280, Federal Reserve Bank of Minneapolis.
- Gian Luca Clementi & Hugo A. Hopenhayn, 2006. "A Theory of Financing Constraints and Firm Dynamics," The Quarterly Journal of Economics, Oxford University Press, vol. 121(1), pages 229-265.
- V. Filipe Martins-da-Rocha & Yiannis Vailakis, 2010. "Existence and Uniqueness of a Fixed Point for Local Contractions," Econometrica, Econometric Society, vol. 78(3), pages 1127-1141, 05.
- Vailakis, Yiannis & Martins-da-Rocha, Victor Filipe, 2008. "Existence and uniqueness of a fixed-point for local contractions," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 677, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Ábrahám, Árpád & Cárceles-Poveda, Eva, 2010. "Endogenous trading constraints with incomplete asset markets," Journal of Economic Theory, Elsevier, vol. 145(3), pages 974-1004, May.
- Eva Carceles Poveda & Arpad Abraham, 2004. "Endogenous Trading Constraints with Incomplete Asset Markets," 2004 Meeting Papers 667, Society for Economic Dynamics.
- Imrohoruglu, Ayse, 1989. "Cost of Business Cycles with Indivisibilities and Liquidity Constraints," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1364-1383, December.
- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:acb:cbeeco:2011-560. 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: ()
If references are entirely missing, you can add them using this form.