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Irreversible R&D investment with inter-firm spillovers

  • Gianluca Femminis

    ()

    (DISCE, Università Cattolica)

  • Gianmaria Martini

    ()

    (Università di Bergamo)

In our duopoly, an irreversible investment incorporates a significant amount of R&D, so that the improvement it introduces in production processes generates a spillover lowering the second comer's investment cost. The presence of the inter-firm spillover substantially affects the equilibrium of the dynamic game: for low -- and hence realistic -- spillover values, the leader delays her investment until the stochastic fundamental has reached a level such that the follower's optimal strategy is to invest as soon as he attains the spillover. This bears several interesting implications. First, because the follower invests upon benefiting from the spillover, in our equilibrium the average time delay between the two investments is short, which is realistic. Second, we show that in case of a major innovation, an optimal public policy requires a substantial intervention in favour of the investment activity; moreover, an increase in uncertainty -- delaying the equilibrium -- calls for higher subsidization rates. Third, we find, by means of numerical simulations, that the spillover reduces the difference in the leader's and in the follower's maximum value function. Accordingly, our model can help generating realistic market betas.

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File URL: http://www.unicatt.it/Istituti/TeoriaEconomica/Quaderni/itemq0850.pdf
File Function: First version, 2008
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Paper provided by Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE) in its series DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi with number compila la segreteria.

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Length: 51 pages
Date of creation: Sep 2008
Date of revision:
Handle: RePEc:ctc:serie6:itemq0850
Contact details of provider: Web page: http://www.unicatt.it/Istituti/TeoriaEconomica
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  1. Bouis, Romain & Huisman, Kuno J.M. & Kort, Peter M., 2009. "Investment in oligopoly under uncertainty: The accordion effect," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 320-331, March.
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  12. Michele Moretto, 2003. "Competition and Irreversible Investments under Uncertainty," Working Papers 2003.32, Fondazione Eni Enrico Mattei.
  13. Moretto, Michele, 2000. "Irreversible investment with uncertainty and strategic behavior," Economic Modelling, Elsevier, vol. 17(4), pages 589-617, December.
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