Dynamic Model of R&D, Spillovers, and Efficiency of Bertrand and Cournot Equilibria

M. Breton, A. Turki and Georges Zaccour
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M. Breton: GERAD, CREF, and HEC Montréal
A. Turki: HEC Montréal

Journal of Optimization Theory and Applications, 2004, vol. 123, issue 1, No 1, 25 pages

Abstract: Abstract Using an infinite-horizon two-player differential game, we derive and compare Bertrand and Cournot equilibria for a differentiated duopoly engaging in the process of R&D competition. The main findings of this study are as follows. First, Bertrand competition is more efficient if either R&D productivity is low or products are very different. Second, Cournot competition is more efficient provided that R&D productivity is high, products are close substitutes, and spillovers are not close to zero. This last result is different from what has been obtained in the literature. Hence, this shows that considering a dynamic model and more general investment costs does have an impact on the efficiency results.

Keywords: Differential games; research and development; Bertrand equilibrium; Cournot equilibrium; social optimum; duopoly (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (10)

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DOI: 10.1023/B:JOTA.0000043989.95285.51

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