1). We argue that this restriction can be relaxed if we distinguish labor by skills and identify differential capital-labor substitutability across skill groups. Using the Morishima elasticity of substitution in a three-factor nested-CES production function, we analytically estimate the elasticity of substitution parameters between capital and skilled labor (ρ) and between capital and unskilled labor (σ). We then derive the necessary conditions for a decline in the labor income share based on ρ and σ, which does not require σ_Agg to be greater than unity."> 1). We argue that this restriction can be relaxed if we distinguish labor by skills and identify differential capital-labor substitutability across skill groups. Using the Morishima elasticity of substitution in a three-factor nested-CES production function, we analytically estimate the elasticity of substitution parameters between capital and skilled labor (ρ) and between capital and unskilled labor (σ). We then derive the necessary conditions for a decline in the labor income share based on ρ and σ, which does not require σ_Agg to be greater than unity."> 1). We argue that">
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Capital Skill Substitutability and the Labor Income Share: Identification Using the Morishima Elasticity of Substitution

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  • Paul, Saumik

    (Asian Development Bank Institute)

Abstract
The relationship between a declining labor income share and a falling relative price of capital requires capital and labor to be gross substitutes at the aggregate level (i.e., σ_Agg>1). We argue that this restriction can be relaxed if we distinguish labor by skills and identify differential capital-labor substitutability across skill groups. Using the Morishima elasticity of substitution in a three-factor nested-CES production function, we analytically estimate the elasticity of substitution parameters between capital and skilled labor (ρ) and between capital and unskilled labor (σ). We then derive the necessary conditions for a decline in the labor income share based on ρ and σ, which does not require σ_Agg to be greater than unity.

Suggested Citation

  • Paul, Saumik, 2018. "Capital Skill Substitutability and the Labor Income Share: Identification Using the Morishima Elasticity of Substitution," ADBI Working Papers 839, Asian Development Bank Institute.
    • Handle: RePEc:ris:adbiwp:0839
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    Cited by:

    1. Paul, Saumik, 2019. "A Decline in Labor's Share with Capital Accumulation and Complementary Factor Inputs: An Application of the Morishima Elasticity of Substitution," IZA Discussion Papers 12219, Institute of Labor Economics (IZA).
    2. Paul, Saumik, 2019. "A Skeptical Note on the Role of Constant Elasticity of Substitution in Labor Income Share Dynamics," ADBI Working Papers 944, Asian Development Bank Institute.

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    More about this item

    Keywords

    substitution elasticity; labor income share; production function parameters;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution

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