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On the coexistence of innovators and imitators

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  • 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, President and Fellows of Harvard College, 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.
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    5. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    6. 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.
    7. Helpman, Elhanan, 1993. "Innovation, Imitation, and Intellectual Property Rights," Econometrica, Econometric Society, vol. 61(6), pages 1247-1280, November.
    8. 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.
    9. 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.
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    Citations

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    Cited by:

    1. Gatabazi, P. & Mba, J.C. & Pindza, E. & Labuschagne, C., 2019. "Grey Lotka–Volterra models with application to cryptocurrencies adoption," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 47-57.
    2. Pasquale L. Scandizzo & Marco Ventura, 2016. "Innovation and imitation as an interactive process," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 25(8), pages 821-851, November.
    3. Mirzadeh Phirouzabadi, Amir & Savage, David & Blackmore, Karen & Juniper, James, 2020. "The evolution of dynamic interactions between the knowledge development of powertrain systems," Transport Policy, Elsevier, vol. 93(C), pages 1-16.
    4. Addolorata Marasco & Alessandro Romano, 2018. "Deterministic modeling in scenario forecasting: estimating the effects of two public policies on intergenerational conflict," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(5), pages 2345-2371, September.
    5. 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.
    6. Yang, Chunyu & Huang, Jue & Lin, Zhibin & Zhang, Danxia & Zhu, Ying & Xu, Xinghua & Chen, Mei, 2018. "Evaluating the symbiosis status of tourist towns: The case of Guizhou Province, China," Annals of Tourism Research, Elsevier, vol. 72(C), pages 109-125.
    7. 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.
    8. Goran Dominioni & Addolorata Marasco & Alessandro Romano, 2018. "A mathematical approach to study and forecast racial groups interactions: deterministic modeling and scenario method," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(4), pages 1929-1956, July.
    9. Zhang, Guanglu & McAdams, Daniel A. & Shankar, Venkatesh & Darani, Milad Mohammadi, 2017. "Modeling the evolution of system technology performance when component and system technology performances interact: Commensalism and amensalism," Technological Forecasting and Social Change, Elsevier, vol. 125(C), pages 116-124.
    10. Dingxuan Huang & Claudio O. Delang & Yongjiao Wu & Shuliang Li, 2021. "An Improved Lotka–Volterra Model Using Quantum Game Theory," Mathematics, MDPI, vol. 9(18), pages 1-17, September.

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    More about this item

    Keywords

    Imitation; Innovation; Lotka–Volterra system; Knowledge diffusion; Intellectual property right;
    All these keywords.

    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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