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A polyhederal approximation approach to concave numerical dynamic programming

Author

Listed:
  • Yuichiro Waki

    (University of Minnesota)

  • Kenichi Fukushima

    (University of Wisconsin - Madison)

Abstract

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.

Suggested Citation

  • Yuichiro Waki & Kenichi Fukushima, 2011. "A polyhederal approximation approach to concave numerical dynamic programming," 2011 Meeting Papers 689, Society for Economic Dynamics.
    • Handle: RePEc:red:sed011:689
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    Cited by:

    1. Waki, Yuichiro & Dennis, Richard & Fujiwara, Ippei, 2018. "The optimal degree of monetary-discretion in a New Keynesian model with private information," Theoretical Economics, Econometric Society, vol. 13(3), September.
    2. Arellano, Cristina & Maliar, Lilia & Maliar, Serguei & Tsyrennikov, Viktor, 2016. "Envelope condition method with an application to default risk models," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 436-459.
    3. Waki, Yuichiro & Dennis, Richard & Fujiwara, Ippei, 2015. "The Optimal Degree of Monetary-Discretion in a New Keynesian Model with Private Information," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-66, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. repec:upd:utppwp:044 is not listed on IDEAS
    5. Jenö Pál & John Stachurski, 2011. "Fitted Value Function Iteration With Probability One Contractions," ANU Working Papers in Economics and Econometrics 2011-560, Australian National University, College of Business and Economics, School of Economics.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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