IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/38949.html
   My bibliography  Save this paper

On the dynamics of innovators and imitators

Author

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

Abstract

After deriving a model describing the law of evolution of innovators and imitators the article focuses on their relationships under two different scenarios: prey-predator, in which innovators are regarded as preys, and competing species. Analytic results show that among the feasible equilibria the coexistence equilibrium is the only stable equilibrium under the fi�rst scenario. We also �find conditions on the parameters allowing local stability of the coexistence equilibrium in the second scenario. Such conditions imply the existence of an inverse-U shaped relationship between innovation and imitation.

Suggested Citation

  • Cerqueti, Roy & Tramontanta, Fabio & Ventura, Marco, 2012. "On the dynamics of innovators and imitators," MPRA Paper 38949, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:38949
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/38949/1/MPRA_paper_38949.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/40424/1/MPRA_paper_40424.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gould, David M. & Gruben, William C., 1996. "The role of intellectual property rights in economic growth," Journal of Development Economics, Elsevier, vol. 48(2), pages 323-350, March.
    2. 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.
    3. 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.
    4. Ryo Horii & Tatsuro Iwaisako, 2007. "Economic Growth with Imperfect Protection of Intellectual Property Rights," Journal of Economics, Springer, vol. 90(1), pages 45-85, January.
    5. 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.
    6. Helpman, Elhanan, 1993. "Innovation, Imitation, and Intellectual Property Rights," Econometrica, Econometric Society, vol. 61(6), pages 1247-1280, November.
    7. 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.
    8. repec:bla:jindec:v:46:y:1998:i:4:p:405-32 is not listed on IDEAS
    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.
    10. Ariel Pakes & Margaret Simpson, 1989. "Patent Renewal Data," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 20(1989 Micr), pages 331-410.
    11. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    12. Jean O. Lanjouw & Ariel Pakes & Jonathan Putnam, 1998. "How to Count Patents and Value Intellectual Property: The Uses of Patent Renewal and Application Data," Journal of Industrial Economics, Wiley Blackwell, vol. 46(4), pages 405-432, December.
    13. 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.
    14. Mark Schankerman, 1998. "How Valuable is Patent Protection? Estimates by Technology Field," RAND Journal of Economics, The RAND Corporation, vol. 29(1), pages 77-107, Spring.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sgrignoli, P. & Agliari, E. & Burioni, R. & Schianchi, A., 2015. "Instability and network effects in innovative markets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 260-271.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Per Botolf Maurseth, 2005. "Lovely but dangerous: The impact of patent citations on patent renewal," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 14(5), pages 351-374.
    3. Azevedo, Mónica L. & Afonso, Óscar & Silva, Sandra T., 2014. "Endogenous growth and intellectual property rights: A north–south modeling proposal," Economic Modelling, Elsevier, vol. 38(C), pages 112-120.
    4. Eicher, Theo & García-Peñalosa, Cecilia, 2008. "Endogenous strength of intellectual property rights: Implications for economic development and growth," European Economic Review, Elsevier, vol. 52(2), pages 237-258, February.
    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. Rudra Narayan Kushwaha & Taniya Ghosh, 2023. "The Effects of population growth on patents and economic growth dynamics," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2023-05, Indira Gandhi Institute of Development Research, Mumbai, India.
    7. Furukawa, Yuichi, 2010. "Intellectual property protection and innovation: an inverted-U relationship," Economics Letters, Elsevier, vol. 109(2), pages 99-101, November.
    8. Hudson, John & Minea, Alexandru, 2013. "Innovation, Intellectual Property Rights, and Economic Development: A Unified Empirical Investigation," World Development, Elsevier, vol. 46(C), pages 66-78.
    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.
    10. Pamela J. Smith & Sebastian J. Anti, 2022. "How does TRIPs compliance affect the economic growth of developing countries? Application of the Synthetic Control method," The World Economy, Wiley Blackwell, vol. 45(12), pages 3873-3906, December.
    11. Zoltán J. Ács & Mark Sanders, 2015. "Patents, knowledge spillovers, and entrepreneurship," Chapters, in: Global Entrepreneurship, Institutions and Incentives, chapter 11, pages 195-212, Edward Elgar Publishing.
    12. Hwan C. Lin, 2021. "Vertical innovation, foreign direct investment, and asymmetric imitation: A welfare analysis of intellectual property protection," Southern Economic Journal, John Wiley & Sons, vol. 88(2), pages 789-827, October.
    13. 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.
    14. Iwaisako, Tatsuro, 2020. "Welfare Effects Of Patent Protection In A Semi-Endogenous Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 24(3), pages 708-728, April.
    15. Pasquale L. Scandizzo & Marco Ventura, 2015. "Organized crime, extortion and entrepreneurship under uncertainty," European Journal of Law and Economics, Springer, vol. 39(1), pages 119-144, February.
    16. Chu, Angus C. & Cozzi, Guido & Galli, Silvia, 2014. "Stage-dependent intellectual property rights," Journal of Development Economics, Elsevier, vol. 106(C), pages 239-249.
    17. Angus C. Chu, 2024. "Macroeconomic effects of intellectual property rights: an updated survey," Chapters, in: Walter G. Park (ed.), Handbook of Innovation and Intellectual Property Rights, chapter 2, pages 13-26, Edward Elgar Publishing.
    18. Alexandre Almeida & Aurora A.C. Teixeira, 2008. "One size does not fit all… An economic development perspective on the asymmetric impact of Patents on R&D," FEP Working Papers 292, Universidade do Porto, Faculdade de Economia do Porto.
    19. Yuta Nakabo & Ken Tabata, 2019. "An inverted-U effect of patents on economic growth in an overlapping generations model," Discussion Paper Series 191, School of Economics, Kwansei Gakuin University.
    20. Keishun Suzuki, 2020. "Competition, patent protection, and innovation with heterogeneous firms in an endogenous market structure," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 729-750, June.

    More about this item

    Keywords

    Imitation; innovation; intellectual property rights; Lotka-Volterra system;
    All these keywords.

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:38949. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.