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Endogenous sigma-augmenting technological change: An R&D-based approach

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  • Kemnitz, Alexander
  • Knoblach, Michael
Abstract
There is now increasing evidence that for the U.S. economy, the elasticity of substitution between capital and labor, "sigma", is rising over time. To account for this, we propose a microfounded model, where the evolution of "sigma", and, hence, the shape of the aggregate production function occur endogenously. We develop a Schumpeterian growth model in which firms can undertake R&D activities that stochastically lead to the discovery of production technologies characterized by a higher elasticity of substitution between capital and labor. Improved possibilities for factor substitution mitigate the diminishment of the marginal product of capital and spur capital accumulation. Due to successful innovations, the steady state of the economy entails higher levels of the capital stock and the output good. Moreover, our numerical simulations show that the timing of innovations is important: two economies with the same steady-state elasticity of substitution between capital and labor can differ in terms of their steady-state levels of the capital stock and the output good.

Suggested Citation

  • Kemnitz, Alexander & Knoblach, Michael, 2020. "Endogenous sigma-augmenting technological change: An R&D-based approach," CEPIE Working Papers 02/20, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    • Handle: RePEc:zbw:tudcep:0220
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    More about this item

    Keywords

    Monopolistic competition; Endogenous elasticity of substitution; Functional normalization; Schumpeterian growth model;
    All these keywords.

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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