A closed-form solution to the Ramsey model with logistic population growth

C-Tier
Journal: Economic Modeling
Year: 2010
Volume: 27
Issue: 5
Pages: 1178-1182

Score contribution per author:

1.005 = (α=2.01 / 1 authors) × 0.5x C-tier

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

Abstract

In this paper, we consider the Ramsey growth model with CIES utility function, Cobb-Douglas technology, and logistic-type population growth law. We show the model to have a unique non-trivial steady-state equilibrium (a saddle point) and prove the optimal path to be non-monotonic over time. Moreover, we derive a closed-form solution for the case where capital's share is equal to the reciprocal of the intertemporal elasticity of substitution.

Technical Details

RePEc Handle
repec:eee:ecmode:v:27:y:2010:i:5:p:1178-1182
Journal Field
General
Author Count
1
Added to Database
2026-01-25