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

Nicolò Cangiotti () and Mattia Sensi ()
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Nicolò Cangiotti: Politecnico di Milano
Mattia Sensi: Inria Sophia Antipolis - Méditerranée Research Centre

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 4, 1278-1285

Abstract: 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 results are eventually provided.

Keywords: Solow-Swan model; Cobb-Douglas production function; Returns to scale; von Bertalanffy model; 34A05 (Primary); 91B02 (Secondary); 91B55 (Secondary) (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00341-7

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