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Perpetual Leapfrogging in Bertrand Duopoly

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  • Giovannetti, Emanuele

Abstract

We consider different patterns of infinite technological adoption choices by firms in a Bertrand duopoly. Every period technological progress provides a sequence of cost reducing innovations. The equilibrium concept is Markov perfect equilibrium. We analyze conditions for which equilibrium adoption leads to persistent leadership and those where firms alternate in adoption inducing leapfrogging. Only leapfrogging (cads to technological improvement in the long run. Demand conditions play a crucial role in determining whether leapfrogging can be perpetual in Bertrand duopoly.

Suggested Citation

  • Giovannetti, Emanuele, 2001. "Perpetual Leapfrogging in Bertrand Duopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 671-696, August.
  • Handle: RePEc:ier:iecrev:v:42:y:2001:i:3:p:671-96
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    References listed on IDEAS

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    1. Jennifer F. Reinganum, 1985. "Innovation and Industry Evolution," The Quarterly Journal of Economics, Oxford University Press, vol. 100(1), pages 81-99.
    2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
    3. Christopher Budd & Christopher Harris & John Vickers, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 543-573.
    4. Kapur, Sandeep, 1995. "Markov perfect equilibria in an N-player war of attrition," Economics Letters, Elsevier, vol. 47(2), pages 149-154, February.
    5. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 1-21.
    6. Kapur, Sandeep, 1995. "Technological Diffusion with Social Learning," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 173-195, June.
    7. Tom Lee & Louis L. Wilde, 1980. "Market Structure and Innovation: A Reformulation," The Quarterly Journal of Economics, Oxford University Press, vol. 94(2), pages 429-436.
    8. Christopher Harris & John Vickers, 1985. "Perfect Equilibrium in a Model of a Race," Review of Economic Studies, Oxford University Press, vol. 52(2), pages 193-209.
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    Citations

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    Cited by:

    1. Yuichi Furukawa, 2015. "Leapfrogging cycles in international competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 401-433, June.
    2. Furukawa, Yuichi, 2012. "Perpetual leapfrogging in international competition," MPRA Paper 40126, University Library of Munich, Germany, revised Jul 2012.
    3. Alfredo Garcia & Barry Horowitz, 2007. "The potential for underinvestment in internet security: implications for regulatory policy," Journal of Regulatory Economics, Springer, vol. 31(1), pages 37-55, February.
    4. repec:eee:eecrev:v:101:y:2018:i:c:p:297-329 is not listed on IDEAS
    5. Lee, Jeongsik & Kim, Byung-Cheol & Lim, Young-Mo, 2011. "Dynamic competition in technological investments: An empirical examination of the LCD panel industry," International Journal of Industrial Organization, Elsevier, vol. 29(6), pages 718-728.
    6. Fedor Iskhakov & John Rust & Bertel Schjerning, 2013. "The Dynamics of Bertrand Price Competition with Cost-Reducing Investments," Discussion Papers 13-05, University of Copenhagen. Department of Economics.
    7. James G. Mulligan & Nilotpal Das, 2005. "Persistent Adoption of Time-Saving Process Innovations," Working Papers 05-03, University of Delaware, Department of Economics.
    8. Giovannetti, Emanuele & Piga, Claudio A., 2017. "The contrasting effects of active and passive cooperation on innovation and productivity: Evidence from British local innovation networks," International Journal of Production Economics, Elsevier, vol. 187(C), pages 102-112.
    9. Furukawa, Yuichi & Takarada, Yasuhiro, 2013. "Technological change and international interaction in environmental policies," MPRA Paper 44047, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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