A nonlinear certainty equivalent approximation method for dynamic stochastic problems

B-Tier
Journal: Quantitative Economics
Year: 2017
Volume: 8
Issue: 1
Pages: 117-147

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper introduces a nonlinear certainty‐equivalent approximation method for dynamic stochastic problems. We first introduce a novel, stable, and efficient method for computing the decision rules in deterministic dynamic economic problems. We use the results as nonlinear and global certainty‐equivalent approximations for solutions to stochastic problems, and compare their accuracy to the common linear and local certainty‐equivalent methods. Our examples demonstrate that this method can be applied to solve high‐dimensional problems with up to 400 state variables with acceptable accuracy. This method can also be applied to solve problems with inequality constraints. These features make the nonlinear certainty‐equivalent approximation method suitable for solving complex economic problems, where other algorithms, such as log‐linearization, fail to produce a valid global approximation or are far less tractable.

Technical Details

RePEc Handle
repec:wly:quante:v:8:y:2017:i:1:p:117-147
Journal Field
General
Author Count
3
Added to Database
2026-01-25