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Optimal technology adoption when the arrival rate of new technologies changes

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  • Hagspiel, Verena
  • Huisman, Kuno J.M.
  • Nunes, Clàudia

Abstract

Our paper contributes to the literature of technology adoption. In most of these models it is assumed that the intensity rate of new arrivals is constant. We extend this approach by assuming that after the last technology jump the intensity of a new arrival can change. Right after the arrival of a new technology the intensity equals a specific value that switches if no new technology arrival has taken place within a certain period after the last technology arrival. We look at different scenarios, dependent on whether the firm is threatened by a drop in the arrival rate after a certain time period or expects the rate to rise. We analyze the effect of a mean preserving spread of the time between two consecutive arrivals on the optimal investment timing and show that larger variance can accelerate investment in case the arrival rate rises while it can decelerate investment in case the arrival rate drops. We find that firms often adopt a new technology a time lag after its introduction, which is a phenomenon frequently observed in practice. Regarding a firm’s technology releasing strategy we explain why additional uncertainty can stimulate customers’ buying behavior. The optimal adoption timing changes significantly, depending on whether the arrival rate is assumed to change or be constant over time. Adding uncertainty about the length of the time period after which the arrival intensity changes, we find that increasing uncertainty accelerates investment, a result that is opposite to the standard real options theory.

Suggested Citation

  • Hagspiel, Verena & Huisman, Kuno J.M. & Nunes, Clàudia, 2015. "Optimal technology adoption when the arrival rate of new technologies changes," European Journal of Operational Research, Elsevier, vol. 243(3), pages 897-911.
  • Handle: RePEc:eee:ejores:v:243:y:2015:i:3:p:897-911
    DOI: 10.1016/j.ejor.2014.12.024
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    References listed on IDEAS

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    Cited by:

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    6. Hagspiel, V. & Huisman, Kuno & Kort, Peter M. & Nunes, Claudia & Pimentel, Rita, 2018. "Product Innovation of an Incumbent Firm : A Dynamic Analysis," Discussion Paper 2018-048, Tilburg University, Center for Economic Research.
    7. Khanh T.P. Nguyen & Thomas Yeung & Bruno Castanier, 2017. "Acquisition of new technology information for maintenance and replacement policies," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2212-2231, April.
    8. Cl'audia Nunes & Rita Pimentel, 2015. "Analytical solution to an investment problem under uncertainties with shocks," Papers 1509.04135, arXiv.org, revised Sep 2015.
    9. Ketelaars, Martijn & Kort, Peter M., 2022. "Investments in R&D and Production Capacity with Uncertain Breakthrough Time : Private versus Social Incentives," Other publications TiSEM 345b87e4-1ed5-413f-9423-2, Tilburg University, School of Economics and Management.
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