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Hardware and Software over the Course of Long-Run Growth: Theory and Evidence

Author

Listed:
  • Jakub Growiec
  • Julia Jabłońska
  • Aleksandra Parteka

Abstract

Output is generated through purposefully initiated physical action. Production needs energy and information, provided by respective factors: hardware (“brawn”), including physical labor and physical capital, and software (“brains”), encompassing human cognitive work and pre-programmed software, in particular artificial intelligence (AI). From first principles, hardware and software are essential and complementary in production, whereas their constituent components are mutually substitutable. This framework generalizes the neoclassical model of production with capital and labor, models with capital-skill complementarity and skill-biased technical change, and unified growth theories embracing also the pre-industrial period. Having laid out the theory, we provide an empirical quantification of hardware and software in the US, 1968-2019. We document a rising share of physical capital in hardware (mechanization) and digital software in software (automation), as a whole software has been growing systematically faster than hardware. Accumulation of digital software was a key contributor to US economic growth.

Suggested Citation

  • Jakub Growiec & Julia Jabłońska & Aleksandra Parteka, 2023. "Hardware and Software over the Course of Long-Run Growth: Theory and Evidence," KAE Working Papers 2023-091, Warsaw School of Economics, Collegium of Economic Analysis.
    • Handle: RePEc:sgh:kaewps:2023091
    DOI: 10.33119/kaewps2023091
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    File URL: https://hdl.handle.net/20.500.12182/1176
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    References listed on IDEAS

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    Cited by:

    1. Growiec, Jakub, . "Gospodarka 4.0? Nowe ujęcie teoretyczne rewolucji cyfrowej i jej konsekwencji dla długookresowego wzrostu," Gospodarka Narodowa-The Polish Journal of Economics, Szkoła Główna Handlowa w Warszawie / SGH Warsaw School of Economics, vol. 2023(4).
    2. Jakub Growiec, 2023. "Industry 4.0? Framing the Digital Revolution and Its Long-Run Growth Consequences," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 4, pages 1-16.
    3. Jabłońska, Julia & Mućk, Jakub, 2025. "Appetite for Destruction. A firm-level portrait of automation in Poland," Structural Change and Economic Dynamics, Elsevier, vol. 75(C), pages 391-402.

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    JEL classification:

    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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