2014The B E Journal of MacroeconomicsOpen access

Real factor prices and factor-augmenting technical change

Andreas Irmen

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Abstract

How does technical change affect real factor prices? This paper gives a comprehensive answer for the most important benchmark used in the modern debate: technical change is factor-augmenting and materializes in a neoclassical economy with competitive firms equipped with a constant elasticity of substitution (CES) production function. I establish that the effect of labor-augmenting technical change crucially hinges on whether the economy’s capital endowment exceeds or falls short of its amount of efficient labor. This distinction determines the sign of the effect for sufficiently small values of the elasticity of substitution. In the former case, labor-augmenting technical progress must increase the equilibrium wage. In the latter case the equilibrium wage is reduced. In both cases, technical progress increases the price of capital. Overall, the analysis stresses that not only the elasticity of substitution but also the degree of diminishing returns, the distribution parameters of the CES, and the level of the efficient capital intensity matter for the effect of labor-augmenting technical change on real factor prices. Mutatis mutandis, these considerations carry over to the case of capital-augmenting technical change.

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How does technical change affect real factor prices? This paper gives a comprehensive answer for the most important benchmark used in the modern debate: technical change is factor-augmenting and materializes in a neoclassical economy with competitive firms equipped with a constant elasticity of substitution (CES) production function. I establish that the effect of labor-augmenting technical change crucially hinges on whether the economy’s capital endowment exceeds or falls short of its amount of efficient labor. This distinction determines the sign of the effect for sufficiently small values of the elasticity of substitution. In the former case, labor-augmenting technical progress must increase the equilibrium wage. In the latter case the equilibrium wage is reduced. In both cases, technical progress increases the price of capital. Overall, the analysis stresses that not only the elasticity of substitution but also the degree of diminishing returns, the distribution parameters of the CES, and the level of the efficient capital intensity matter for the effect of labor-augmenting technical change on real factor prices. Mutatis mutandis, these considerations carry over to the case of capital-augmenting technical change.

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Available abstract

How does technical change affect real factor prices? This paper gives a comprehensive answer for the most important benchmark used in the modern debate: technical change is factor-augmenting and materializes in a neoclassical economy with competitive firms equipped with a constant elasticity of substitution (CES) production function. I establish that the effect of labor-augmenting technical change crucially hinges on whether the economy’s capital endowment exceeds or falls short of its amount of efficient labor. This distinction determines the sign of the effect for sufficiently small values of the elasticity of substitution. In the former case, labor-augmenting technical progress must increase the equilibrium wage. In the latter case the equilibrium wage is reduced. In both cases, technical progress increases the price of capital. Overall, the analysis stresses that not only the elasticity of substitution but also the degree of diminishing returns, the distribution parameters of the CES, and the level of the efficient capital intensity matter for the effect of labor-augmenting technical change on real factor prices. Mutatis mutandis, these considerations carry over to the case of capital-augmenting technical change.

Key concepts: Economics, Technical change, Elasticity of substitution, Factor price, Technological change, Constant elasticity of substitution, Factor endowment, Technical progress

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