A Nonlinear Certainty Equivalent Approximation Method for Dynamic Stochastic Problems

63 Pages Posted: 28 Sep 2015 Last revised: 30 Jun 2022

See all articles by Yongyang Cai

Yongyang Cai

Ohio State University (OSU); Center for Robust Decisionmaking on Climate & Energy Policy (RDCEP)

Kenneth L. Judd

Stanford University - The Hoover Institution on War, Revolution and Peace; Center for Robust Decisionmaking on Climate & Energy Policy (RDCEP); National Bureau of Economic Research (NBER)

Jevgenijs Steinbuks

World Bank - Development Research Group (DECRG)

Date Written: September 2015

Abstract

This paper introduces a nonlinear certainty equivalent approximation method for dynamic stochastic problems. We first use a novel, stable and efficient method for computing the optimal policy functions for deterministic dynamic optimization problems, and then use them as certainty-equivalent approximations for the stochastic versions. Our examples demonstrate that it can be applied to solve high-dimensional problems with up to four hundred state variables with an acceptable accuracy. This method can also be applied to solve problems with inequality constraints that occasionally bind. These features make the nonlinear certainty equivalent approximation method suitable for solving complex economic problems, where other algorithms, such as log-linearization, fail or are far less tractable.

Suggested Citation

Cai, Yongyang and Judd, Kenneth L. and Steinbuks, Jevgenijs, A Nonlinear Certainty Equivalent Approximation Method for Dynamic Stochastic Problems (September 2015). NBER Working Paper No. w21590, Available at SSRN: https://ssrn.com/abstract=2666358

Yongyang Cai (Contact Author)

Ohio State University (OSU) ( email )

Department of Agricultural, Environmental
and Development Economics
Columbus, OH 43210
United States

Center for Robust Decisionmaking on Climate & Energy Policy (RDCEP) ( email )

5735 S. Ellis Street
Chicago, IL 60637
United States

Kenneth L. Judd

Stanford University - The Hoover Institution on War, Revolution and Peace ( email )

Stanford, CA 94305-6010
United States

Center for Robust Decisionmaking on Climate & Energy Policy (RDCEP) ( email )

5735 S. Ellis Street
Chicago, IL 60637
United States

National Bureau of Economic Research (NBER) ( email )

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

Jevgenijs Steinbuks

World Bank - Development Research Group (DECRG) ( email )

1818 H. Street, N.W.
MSN3-311
Washington, DC 20433
United States

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