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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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    1. Farzin, Y. H. & Huisman, K. J. M. & Kort, P. M., 1998. "Optimal timing of technology adoption," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 779-799, May.
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    Cited by:

    1. Armerin, Fredrik, 2023. "Investments with declining cost following a Lévy process," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1052-1062.
    2. Hagspiel, Verena & Huisman, Kuno J.M. & Kort, Peter M. & Lavrutich, Maria N. & Nunes, Cláudia & Pimentel, Rita, 2020. "Technology adoption in a declining market," European Journal of Operational Research, Elsevier, vol. 285(1), pages 380-392.
    3. Powell, Warren B., 2019. "A unified framework for stochastic optimization," European Journal of Operational Research, Elsevier, vol. 275(3), pages 795-821.
    4. Nunes, Cláudia & Pimentel, Rita, 2017. "Analytical solution for an investment problem under uncertainties with shocks," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1054-1063.
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    6. Ketelaars, Martijn & Kort, Peter M., 2022. "Investments in R&D and Production Capacity with Uncertain Breakthrough Time : Private versus Social Incentives," Discussion Paper 2022-010, Tilburg University, Center for Economic Research.
    7. Nunes, Cláudia & Oliveira, Carlos & Pimentel, Rita, 2021. "Quasi-analytical solution of an investment problem with decreasing investment cost due to technological innovations," Journal of Economic Dynamics and Control, Elsevier, vol. 130(C).
    8. Ketelaars, Martijn, 2024. "Clearing in financial networks and dynamic investment under uncertainty," Other publications TiSEM 94768fb9-fd72-405d-a330-6, Tilburg University, School of Economics and Management.
    9. Zeng, Bingxin & Zhu, Lei & Yao, Xing, 2020. "Policy choice for end-of-pipe abatement technology adoption under technological uncertainty," Economic Modelling, Elsevier, vol. 87(C), pages 121-130.
    10. Deeney, Peter & Cummins, Mark & Heintz, Katharina & Pryce, Mary T., 2021. "A real options based decision support tool for R&D investment: Application to CO2 recycling technology," European Journal of Operational Research, Elsevier, vol. 289(2), pages 696-711.
    11. Truong, Chi & Trück, Stefan, 2016. "It’s not now or never: Implications of investment timing and risk aversion on climate adaptation to extreme events," European Journal of Operational Research, Elsevier, vol. 253(3), pages 856-868.
    12. 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.
    13. Yi, Changsheng & Chen, Zhaoming & Chen, Hongchen, 2023. "Opportunity knocks but just once: Impact of infrastructure investment decision on climate adaptation to flood events," Omega, Elsevier, vol. 121(C).
    14. Qiang Li & Junwei Wang & Jian Ni & Lap Keung Chu & Congdong Li, 2019. "The optimal time to make a risky investment under a permanent exit option," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2669-2680, October.
    15. 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.
    16. Trigeorgis, Lenos & Tsekrekos, Andrianos E., 2018. "Real Options in Operations Research: A Review," European Journal of Operational Research, Elsevier, vol. 270(1), pages 1-24.
    17. Fan, Songmei & Yan, Jingjing & Sha, Jinghua, 2017. "Innovation and economic growth in the mining industry: Evidence from China's listed companies," Resources Policy, Elsevier, vol. 54(C), pages 25-42.
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    19. Cl'audia Nunes & Rita Pimentel, 2015. "Analytical solution to an investment problem under uncertainties with shocks," Papers 1509.04135, arXiv.org, revised Sep 2015.

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