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Investment in vintage capital

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  • Jovanovic, Boyan
  • Yatsenko, Yuri

Abstract

We study an economy in which firms use labor and various vintages of capital in a CES production function for the final good. We explicitly solve for the investment in capital of a given vintage as a function of its age, and for the resulting stocks of capital. We show that for reasonable parameter values, inverted-U-shaped dynamics of investment and S-shaped dynamics for capital arise in equilibrium. We view the model as an explanation of intra-firm adoption lags, i.e., the observation that firms adopt innovations over time and not instantaneously.

Suggested Citation

  • Jovanovic, Boyan & Yatsenko, Yuri, 2012. "Investment in vintage capital," Journal of Economic Theory, Elsevier, vol. 147(2), pages 551-569.
  • Handle: RePEc:eee:jetheo:v:147:y:2012:i:2:p:551-569
    DOI: 10.1016/j.jet.2010.10.017
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    4. Bondarev, Anton & Dato, Prudence & Krysiak, Frank C., 2021. "Green Technology Transitions with an Endogenous Market Structure," Working papers 2021/07, Faculty of Business and Economics - University of Basel.
    5. Katharina E. Blankart & Frank R. Lichtenberg, 2020. "Are patients more adherent to newer drugs?," Health Care Management Science, Springer, vol. 23(4), pages 605-618, December.
    6. Yatsenko, Yuri & Hritonenko, Natali, 2020. "Optimal asset replacement: Profit maximization under varying technology," International Journal of Production Economics, Elsevier, vol. 228(C).
    7. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
    8. Maria Elisa Farias & Javier Scavia & Raúl Fuentes, 2019. "Bridging the Gaps: Credits, Adoption, and Inequality," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(5), pages 1355-1401, August.
    9. Samaniego, Roberto, 2016. "The Embodiment Controversy: on the Policy Implications of Vintage Capital models," MPRA Paper 73348, University Library of Munich, Germany.
    10. Frank R. Lichtenberg, 2021. "Are drug prices subject to creative destruction? Evidence from the US, 1997–2017," Health Economics, John Wiley & Sons, Ltd., vol. 30(8), pages 1910-1932, August.
    11. Gamboa, Franklin & Maldonado, Wilfredo Leiva, 2014. "Feasibility and optimality of the initial capital stock in the Ramsey vintage capital model," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 40-45.
    12. Acemoglu, Daron, 2012. "Introduction to economic growth," Journal of Economic Theory, Elsevier, vol. 147(2), pages 545-550.
    13. Zhu, Yanyuan & Feng, Xiao, 2014. "China's national production function since 1997: A reinvestigation," Working Papers in Economics 2014,2, Bundeswehr University Munich, Economic Research Group.
    14. Jing Lu & Jianxiong Zhang & Fuxiao Lu & Wansheng Tang, 2020. "Optimal pricing on an age-specific inventory system for perishable items," Operational Research, Springer, vol. 20(2), pages 605-625, June.
    15. Frank R. Lichtenberg, 2019. "How Many Life-Years Have New Drugs Saved? A 3-Way Fixed-Effects Analysis of 66 Diseases in 27 Countries, 2000-2013," NBER Working Papers 25483, National Bureau of Economic Research, Inc.
    16. Kredler, Matthias, 2014. "Vintage human capital and learning curves," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 154-178.
    17. Førsund, Finn R. & Vislie, Jon, 2016. "Leif Johansen on intra-industry structural change," Journal of Policy Modeling, Elsevier, vol. 38(3), pages 515-527.
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    19. Joseba Martinez, 2018. "Automation, Growth and Factor Shares," 2018 Meeting Papers 736, Society for Economic Dynamics.

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    More about this item

    Keywords

    Vintage capital models; CES function; General equilibrium; Technological change; Intra-firm adoption lags; Optimal control;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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