IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v46y2010i6p1064-1078.html
   My bibliography  Save this article

Technological innovations, economic renovation, and anticipation effects

Author

Listed:
  • Hritonenko, Natali
  • Yatsenko, Yuri

Abstract

Optimal replacement of a firm's capital is described in the framework of Solow-type vintage capital models. The firm controls the investment into new capital and scrapping of obsolete capital. The embodied technological change involves a continuous component and technological innovations (breakthroughs, technology shocks). The provided analytic and numeric investigation reveals the qualitative structure of optimal regimes. It demonstrates that the optimal investment is zero immediately before and after a technological breakthrough (direct anticipation effect) and contains a set of zero-investment boundary intervals (anticipation echoes) before the breakthrough time. The optimal capital lifetime oscillates around an interior balanced growth trajectory before and switches to a new balanced trajectory after the breakthrough.

Suggested Citation

  • Hritonenko, Natali & Yatsenko, Yuri, 2010. "Technological innovations, economic renovation, and anticipation effects," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1064-1078, November.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1064-1078
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(10)00077-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bresnahan, Timothy F. & Trajtenberg, M., 1995. "General purpose technologies 'Engines of growth'?," Journal of Econometrics, Elsevier, vol. 65(1), pages 83-108, January.
    2. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
    3. Dale Jorgenson & Mun Ho & Jon Samuels & Kevin Stiroh, 2007. "Industry Origins of the American Productivity Resurgence," Economic Systems Research, Taylor & Francis Journals, vol. 19(3), pages 229-252.
    4. Michael R. Pakko, 2002. "What Happens When the Technology Growth Trend Changes?: Transition Dynamics, Capital Growth and the 'New Economy'," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(2), pages 376-407, April.
    5. Raouf Boucekkine & David de la Croix & Omar Licandro, 2006. "Vintage Capital," Economics Working Papers ECO2006/8, European University Institute.
    6. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.
    7. Cooley, Thomas F. & Greenwood, Jeremy & Yorukoglu, Mehmet, 1997. "The replacement problem," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 457-499, December.
    8. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 1998. "Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-384, December.
    9. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Anticipation effects of technological progress on capital accumulation: a vintage capital approach," Journal of Economic Theory, Elsevier, vol. 126(1), pages 143-164, January.
    10. R. M. Solow & J. Tobin & C. C. Weizsäcker & M. Yaari, 1971. "Neoclassical Growth with Fixed Factor Proportions," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 9, pages 68-102, Palgrave Macmillan.
    11. Schmidt, Robert C. & Marschinski, Robert, 2009. "A model of technological breakthrough in the renewable energy sector," Ecological Economics, Elsevier, vol. 69(2), pages 435-444, December.
    12. Boucekkine, Raouf & Pommeret, Aude, 2004. "Energy saving technical progress and optimal capital stock: the role of embodiment," Economic Modelling, Elsevier, vol. 21(3), pages 429-444, May.
    13. AZOMAHOU, Théophile & BOUCEKKINE, Raouf & NGUYEN-VAN, Phu, 2009. "Promoting clean technologies under imperfect competition," LIDAM Discussion Papers CORE 2009011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Jovanovic, Boyan & Lach, Saul, 1997. "Product Innovation and the Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 3-22, February.
    15. Boyan Jovanovic & Chung-Yi Tse, 2010. "Entry and Exit Echoes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 514-536, July.
    16. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July.
    17. Becerra-Lopez, Humberto R. & Golding, Peter, 2007. "Dynamic exergy analysis for capacity expansion of regional power-generation systems: Case study of far West Texas," Energy, Elsevier, vol. 32(11), pages 2167-2186.
    18. Doraszelski, Ulrich, 2004. "Innovations, improvements, and the optimal adoption of new technologies," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1461-1480, April.
    19. Mehmet Yorukoglu, 1998. "The Information Technology Productivity Paradox," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 551-592, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2013. "Health, Work Intensity, and Technological Innovations," Working Papers halshs-00805199, HAL.
    2. Hritonenko, Natali & Yatsenko, Yuri, 2012. "Energy substitutability and modernization of energy-consuming technologies," Energy Economics, Elsevier, vol. 34(5), pages 1548-1556.
    3. Sanchez-Carrera Edgar J. & Travaglini Giuseppe & Ille Sebastian, 2021. "Macrodynamic Modeling of Innovation Equilibria and Traps," The B.E. Journal of Macroeconomics, De Gruyter, vol. 21(2), pages 659-694, June.
    4. HRITONENKO, Natali & YATSENKO, Yuri, 2011. "Sustainable growth and modernization under environmental hazard and adaptation," LIDAM Discussion Papers CORE 2011025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Natali Hritonenko & Yuri Yatsenko, 2012. "Fleet replacement under technological shocks," Annals of Operations Research, Springer, vol. 196(1), pages 311-331, July.
    6. Mellal, Mohamed Arezki, 2020. "Obsolescence – A review of the literature," Technology in Society, Elsevier, vol. 63(C).
    7. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2011. "Sustainable growth under pollution quotas: optimal R&D, investment and replacement policies," Working Papers halshs-00632887, HAL.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Raouf Boucekkine & David De la Croix & Omar Licandro, 2011. "Vintage Capital Growth Theory: Three Breakthroughs," Working Papers 565, Barcelona School of Economics.
    2. Raouf Boucekkine & David Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
    3. Kredler, Matthias, 2014. "Vintage human capital and learning curves," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 154-178.
    4. Théophile, AZOMAHOU & Raouf, BOUCEKKINE & Phu, NUYEN VAN, 2003. "Energy consumption, technological progress and economic policy," LIDAM Discussion Papers IRES 2003025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    5. 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.
    6. Boucekkine, Raouf & Hritonenko, Natali & Yatsenko, Yuri, 2011. "Scarcity, regulation and endogenous technical progress," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 186-199, March.
    7. Cagri Saglam & Vladimir M. Veliov, 2008. "Role of Endogenous Vintage Specific Depreciation in the Optimal Behavior of Firms," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 381-410, September.
    8. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2008. "Financially constrained capital investments: The effects of disembodied and embodied technological progress," Journal of Mathematical Economics, Elsevier, vol. 44(5-6), pages 459-483, April.
    9. Bitros, George C., 2009. "The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations," MPRA Paper 17436, University Library of Munich, Germany.
    10. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, "undated". "Optimal Firm Behavior under Environmental Constraints," Working Papers 2008_11, Business School - Economics, University of Glasgow.
    11. Raouf BOUCEKKINE & Aude POMMERET, 2000. "Optimal Capital Accumulation, Energy Cost and the Nature of Technological Progress," LIDAM Discussion Papers IRES 2001023, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    12. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    13. Théophile T. Azomahou & Raouf Boucekkine & Phu Nguyen-Vanc, "undated". "Promoting Clean Technologies: The Energy Market Structure Crucially Matters," Working Papers 2008_13, Business School - Economics, University of Glasgow.
    14. Fabbri, Giorgio & Faggian, Silvia & Freni, Giuseppe, 2015. "On the Mitra–Wan forest management problem in continuous time," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1001-1040.
    15. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Anticipation effects of technological progress on capital accumulation: a vintage capital approach," Journal of Economic Theory, Elsevier, vol. 126(1), pages 143-164, January.
    16. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008. "Numerical Solution of Optimal Control Problems with Constant Control Delays," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 181-206, March.
    17. AZOMAHOU, Théophile & BOUCEKKINE, Raouf & NGUYEN-VAN, Phu, 2009. "Promoting clean technologies under imperfect competition," LIDAM Discussion Papers CORE 2009011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Fabrice Collard & Omar Licandro, 2020. "The neoclassical model and the welfare costs of selection," Discussion Papers 2020/03, University of Nottingham, Centre for Finance, Credit and Macroeconomics (CFCM).
    19. Boucekkine, Raouf & Licandro, Omar & Paul, Christopher, 1997. "Differential-difference equations in economics: On the numerical solution of vintage capital growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 347-362.
    20. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1064-1078. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.