Saddle cycles: Solving rational expectations models featuring limit cycles (or chaos) using perturbation methods

B-Tier
Journal: Quantitative Economics
Year: 2021
Volume: 12
Issue: 3
Pages: 869-901

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

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

Abstract

Unlike linear ones, nonlinear business cycle models can generate sustained fluctuations even in the absence of shocks (e.g., via limit cycles/chaos). A popular approach to solving nonlinear models is perturbation methods. I show that, as typically implemented, these methods are incapable of finding solutions featuring limit cycles or chaos. Fundamentally, solutions are only required not to explode, while standard perturbation algorithms seek solutions that meet the stronger requirement of convergence to the steady state. I propose a modification to standard algorithms that does not impose this overly strong requirement.

Technical Details

RePEc Handle
repec:wly:quante:v:12:y:2021:i:3:p:869-901
Journal Field
General
Author Count
1
Added to Database
2026-01-25