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On the coexistence of innovators and imitators

Author

Listed:
  • Cerqueti, Roy
  • Tramontana, Fabio
  • Ventura, Marco

Abstract

The article develops a model laying a foundation for the idea that the relationships between competitors in the knowledge diffusion market can be described by a Lotka–Volterra system. The model can accommodate both the scenario of prey–predator and that of competition between innovators and imitators. Analytic results and numerical simulations show that a stable coexistence equilibrium is feasible under both scenarios. The work also discusses the conditions under which these results are achievable.

Suggested Citation

  • Cerqueti, Roy & Tramontana, Fabio & Ventura, Marco, 2015. "On the coexistence of innovators and imitators," Technological Forecasting and Social Change, Elsevier, vol. 90(PB), pages 487-496.
  • Handle: RePEc:eee:tefoso:v:90:y:2015:i:pb:p:487-496
    DOI: 10.1016/j.techfore.2014.03.011
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    References listed on IDEAS

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    1. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 701-728.
    2. Furukawa, Yuichi, 2007. "The protection of intellectual property rights and endogenous growth: Is stronger always better?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3644-3670, November.
    3. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    4. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters,in: Essays in the Economics of Crime and Punishment, pages 1-54 National Bureau of Economic Research, Inc.
    5. Helpman, Elhanan, 1993. "Innovation, Imitation, and Intellectual Property Rights," Econometrica, Econometric Society, vol. 61(6), pages 1247-1280, November.
    6. Ricardo J. Caballero & Adam B. Jaffe, 1993. "How High are the Giants' Shoulders: An Empirical Assessment of Knowledge Spillovers and Creative Destruction in a Model of Economic Growth," NBER Chapters,in: NBER Macroeconomics Annual 1993, Volume 8, pages 15-86 National Bureau of Economic Research, Inc.
    7. Cysne, Rubens P. & Turchick, David, 2012. "Intellectual property rights protection and endogenous economic growth revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 851-861.
    8. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474, October.
    9. Lai, Edwin L. -C., 1998. "International intellectual property rights protection and the rate of product innovation," Journal of Development Economics, Elsevier, vol. 55(1), pages 133-153, February.
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    Citations

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    Cited by:

    1. repec:taf:ecinnt:v:25:y:2016:i:8:p:821-851 is not listed on IDEAS
    2. repec:spr:qualqt:v:52:y:2018:i:5:d:10.1007_s11135-017-0670-9 is not listed on IDEAS
    3. Cerqueti, Roy & Quaranta, Anna Grazia & Ventura, Marco, 2016. "Innovation, imitation and policy inaction," Technological Forecasting and Social Change, Elsevier, vol. 111(C), pages 22-30.
    4. Marasco, A. & Picucci, A. & Romano, A., 2016. "Market share dynamics using Lotka–Volterra models," Technological Forecasting and Social Change, Elsevier, vol. 105(C), pages 49-62.
    5. repec:spr:qualqt:v:52:y:2018:i:4:d:10.1007_s11135-017-0581-9 is not listed on IDEAS
    6. repec:eee:tefoso:v:125:y:2017:i:c:p:116-124 is not listed on IDEAS

    More about this item

    Keywords

    Imitation; Innovation; Lotka–Volterra system; Knowledge diffusion; Intellectual property right;

    JEL classification:

    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O34 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Intellectual Property and Intellectual Capital
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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