Linear-quadratic approximation of optimal policy problems

A-Tier
Journal: Journal of Economic Theory
Year: 2012
Volume: 147
Issue: 1
Pages: 1-42

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

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

Abstract

We consider a general class of nonlinear optimal policy problems with forward-looking constraints, and show how to derive a problem with linear constraints and a quadratic objective that approximates the exact problem. The solution to the LQ approximate problem represents a local linear approximation to optimal policy from the “timeless perspective” proposed in Benigno and Woodford (2004, 2005) [6,7], in the case of small enough stochastic disturbances. We also derive the second-order conditions for the LQ problem to have a solution, and show how to correctly rank alternative simple policy rules, again in the case of small enough shocks.

Technical Details

RePEc Handle
repec:eee:jetheo:v:147:y:2012:i:1:p:1-42
Journal Field
Theory
Author Count
2
Added to Database
2026-01-24