A Generalized Steady-State Growth Theorem
31 Pages Posted: 26 Nov 2013
Date Written: November 25, 2013
Uzawa’s steady-state growth theorem (Uzawa (1961)) is generalized to a neoclassical economy that uses current output, e. g., to create technical progress or to manufacture intermediates. The difference between aggregate final-good production and these resources is referred to as net output. The new generalized steady-state growth theorem holds since net output exhibits constant returns to scale in capital and labor. This insight provides an understanding for why technical change is labor-augmenting in steady state even if capital-augmenting technical change is feasible. By example, this point is made for three recent growth models that allow for endogenous capital- and labor-augmenting technical change, namely, Irmen (2013), Acemoglu (2003), and Acemoglu (2009), Chapter 15. The reduced form of these models is shown to be consistent with the generalized steady-state growth theorem.
Keywords: steady-state growth, capital accumulation, Uzawa’s Theorem, endogenous direction of technical change
JEL Classification: E100, O100, O400
Suggested Citation: Suggested Citation