Semi-endogenous growth models with domestic and foreign private and public R&D linked to VECMs

Thomas H. W. Ziesemer*

*Corresponding author for this work

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We present semi-endogenous growth models with productivity as functions of domestic and foreign private and public R&D. In a small country case with a Cobb–Douglas productivity production function, foreign R&D drives steady-state growth and the production function can be a long-term relation in a vector-error-correction model (VECM). Marginal productivity conditions can be long-term relations for a vector-error-correction model if the functional form is of a VES function generalizing a CES function. Combining the marginal products of VES functions with recent evidence from VECMs for five countries shows that private and public R&D have a positive effect on productivity (except for France), and a negative R&D augmenting technical change. In the case of a VES function, steady states with constant R&D/productivity ratios exist only for special cases of parameter restrictions, which are not supported by the evidence.
Original languageEnglish
Pages (from-to)621-642
Number of pages22
JournalEconomics of Innovation and New Technology
Issue number6
Early online date19 May 2020
Publication statusPublished - 18 Aug 2021

JEL classifications

  • o38 - Technological Change: Government Policy
  • o40 - Economic Growth and Aggregate Productivity: General
  • o41 - One, Two, and Multisector Growth Models
  • h54 - "National Government Expenditures and Related Policies: Infrastructures; Other Public Investment and Capital Stock"
  • h87 - "International Fiscal Issues; International Public Goods"


  • Productivity
  • endogenous (un)balanced growth
  • public R&D expenditure
  • foreign spillover

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