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Irreversible R&D investment with inter-firm spillovers

Author

Listed:
  • Gianluca Femminis

    () (DISCE, Università Cattolica)

  • Gianmaria Martini

    () (Università di Bergamo)

Abstract

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.

Suggested Citation

  • Gianluca Femminis & Gianmaria Martini, 2008. "Irreversible R&D investment with inter-firm spillovers," DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi compila la segreteria, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
  • Handle: RePEc:ctc:serie6:itemq0850
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    File URL: http://www.unicatt.it/Istituti/TeoriaEconomica/Quaderni/itemq0850.pdf
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    References listed on IDEAS

    as
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    Cited by:

    1. Argenziano, Rossella & Schmidt-Dengler, Philipp, 2012. "Inefficient entry order in preemption games," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 445-460.
    2. Enrico Bellino, 2012. "Pasinetti on Ricardo," DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi itemq1258, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).

    More about this item

    Keywords

    irreversible investment; knowledge spillover; dynamic oligopoly;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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