Chapter 16 Factor Substitution and Biased Technology with Balanced Growth
Miguel A. León‐Ledesma, Mathan Satchi
Abstract
Miguel A. León‐Ledesma, Mathan Satchi
Abstract
The famous Uzawa (1961) balanced growth theorem has exercised a tyranny of sorts over macroeconomics for decades. It is the prime reason why researchers use Cobb–Douglas production functions and abstract from considering movements in factor shares. Others have had to recourse to complex explanations for long-run labor augmentation in technical progress. In this chapter, we discuss the issues arising from this problem and propose a way of achieving balanced growth with a short-run production function where the elasticity of factor substitution is less than one, and capital augmenting technology shocks can be permanent. We do so by allowing firms to choose the relative reliance on capital in the production technology and introducing a suitable modification of the production function. We also provide some model simulations in the context of a simple deterministic neoclassical growth model.
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The famous Uzawa (1961) balanced growth theorem has exercised a tyranny of sorts over macroeconomics for decades. It is the prime reason why researchers use Cobb–Douglas production functions and abstract from considering movements in factor shares. Others have had to recourse to complex explanations for long-run labor augmentation in technical progress. In this chapter, we discuss the issues arising from this problem and propose a way of achieving balanced growth with a short-run production function where the elasticity of factor substitution is less than one, and capital augmenting technology shocks can be permanent. We do so by allowing firms to choose the relative reliance on capital in the production technology and introducing a suitable modification of the production function. We also provide some model simulations in the context of a simple deterministic neoclassical growth model.
Key concepts: Elasticity of substitution, Substitution (logic), Production (economics), Economics, Production function, Factor shares, Capital (architecture), Growth model