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Technology lock-in with horizontal and vertical innovations through limited R&D spending

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  • Bondarev, Anton
  • Greiner, Alfred

Abstract

In this paper we analyze an inter-temporal optimization problem of a representative firm that invests in horizontal and vertical innovations and that faces a constraint with respect to total R&D spending. We find that there can exist two different steady-states of the economy when the amount of research spending falls short of an endogenously determined threshold: one with higher productivities and less new technologies being developed, and the other with more technologies being created and lower productivities. But, for a higher amount of R&D spending the steady-state becomes unique and the firm produces the whole spectrum of available technologies. Thus, a lock-in effect may arise that, however, van be overcome by raising R&D spending sufficiently.

Suggested Citation

  • Bondarev, Anton & Greiner, Alfred, 2017. "Technology lock-in with horizontal and vertical innovations through limited R&D spending," Working papers 2017/04, Faculty of Business and Economics - University of Basel.
  • Handle: RePEc:bsl:wpaper:2017/04
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    References listed on IDEAS

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    1. Daron Acemoglu & Philippe Aghion & Leonardo Bursztyn & David Hemous, 2012. "The Environment and Directed Technical Change," American Economic Review, American Economic Association, vol. 102(1), pages 131-166, February.
    2. Ping Lin, 2004. "Process and product R&D by a multiproduct monopolist," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 735-743, October.
    3. Zeppini, Paolo & van den Bergh, Jeroen C.J.M., 2013. "Optimal diversity in investments with recombinant innovation," Structural Change and Economic Dynamics, Elsevier, vol. 24(C), pages 141-156.
    4. van den Bergh, Jeroen C.J.M., 2008. "Optimal diversity: Increasing returns versus recombinant innovation," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 565-580, December.
    5. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    6. Hopenhayn, Hugo A & Mitchell, Matthew F, 2001. "Innovation Variety and Patent Breadth," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 152-166, Spring.
    7. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    8. Anton Bondarev, 2012. "The long-run dynamics of product and process innovations for a multi-product monopolist," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 21(8), pages 775-799, November.
    9. Baveja, A. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L. & Kort, P.M., 1999. "A Resource-Constrained Optimal Control Model for Crackdown on Illicit Drug Markets," Discussion Paper 1999-85, Tilburg University, Center for Economic Research.
    10. Dawid, Herbert & Greiner, Alfred & Zou, Benteng, 2010. "Optimal foreign investment dynamics in the presence of technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 296-313, March.
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    Cited by:

    1. Bondarev, Anton & Greiner, Alfred, 2018. "Global warming and technical change: Multiple steady-states and policy options," Working papers 2018/03, Faculty of Business and Economics - University of Basel.
    2. Greiner, Alfred & Bondarev, Anton, 2017. "Optimal R&D investment with learning-by-doing: Multiple steady-states and thresholds," Working papers 2017/06, Faculty of Business and Economics - University of Basel.

    More about this item

    Keywords

    Multiple steady-states; lock-in; innovations; R&D constraint; optimal control;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • 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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