Irreversible R&D investment with inter-firm spillovers

Gianluca Femminis and Gianmaria Martini

DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi from Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE)

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.

Keywords: irreversible investment; knowledge spillover; dynamic oligopoly (search for similar items in EconPapers)
JEL-codes: C73 L13 O33 (search for similar items in EconPapers)
Pages: 51 pages
Date: 2008-09
New Economics Papers: this item is included in nep-com, nep-ino, nep-knm, nep-mic and nep-tid
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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