Calculus of Variations and Geometric Measure Theory

N. Cangiotti - M. Sensi

Exact solutions for a Solow-Swan model with non-constant returns to scale

created by cangiotti on 05 Dec 2023

[BibTeX]

preprint

Inserted: 5 dec 2023

Year: 2020

ArXiv: 2008.05875 PDF

Abstract:

The Solow-Swan model is shortly reviewed from a mathematical point of view. By considering non-constant returns to scale, we obtain a general solution strategy. We then compute the exact solution for the Cobb-Douglas production function, for both the classical model and the von Bertalanffy model. Numerical simulations are provided.