Existence and Uniqueness of Solutions to Dynamic Models with Occasionally Binding Constraints

A-Tier
Journal: Review of Economics and Statistics
Year: 2023
Volume: 105
Issue: 6
Pages: 1481-1499

Score contribution per author:

4.022 = (α=2.01 / 1 authors) × 2.0x A-tier

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

Abstract

Occasionally binding constraints (OBCs) like the zero lower bound (ZLB) can lead to multiple equilibria, and so to belief-driven recessions. To aid in finding policies that avoid this, we derive existence and uniqueness conditions for otherwise linear models with OBCs. Our main result gives necessary and sufficient conditions for such models to have a unique ("determinate") perfect foresight solution returning to a given steady state, for any initial condition. While standard New Keynesian models have multiple perfect-foresight paths eventually escaping the ZLB, price level targeting restores uniqueness. We also derive equilibrium existence conditions under rational expectations for arbitrary nonlinear models.

Technical Details

RePEc Handle
repec:tpr:restat:v:105:y:2023:i:6:p:1481-1499
Journal Field
General
Author Count
1
Added to Database
2026-02-02