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On the dynamics of innovators and imitators

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  • 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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 38949.

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Date of creation: 20 Apr 2012
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Handle: RePEc:pra:mprapa:38949

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Keywords: Imitation; innovation; intellectual property rights; Lotka-Volterra system;

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  1. Gary S. Becker, 1968. "Crime and Punishment: An Economic Approach," Journal of Political Economy, University of Chicago Press, vol. 76, pages 169.
  2. 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.
  3. 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.
  4. Lanjouw, Jean O & Pakes, Ariel & Putnam, Jonathan, 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 405-32, December.
  5. 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 Working Papers 4370, National Bureau of Economic Research, Inc.
  6. 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.
  7. Philippe Aghion & Nicholas Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2002. "Competition and Innovation: An Inverted U Relationship," NBER Working Papers 9269, National Bureau of Economic Research, Inc.
  8. Helpman, Elhanan, 1993. "Innovation, Imitation, and Intellectual Property Rights," Econometrica, Econometric Society, vol. 61(6), pages 1247-80, November.
  9. 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.
  10. 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.
  11. 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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