Abstract
In this paper, we allow the firms non-cooperatively but simultaneously to choose the R&D investment and output in different stages of the game with knowledge spillovers and show that when the deliberate decision of the firms on its R&D investment is acknowledged, entry is socially excessive. Our result has important implication for competition policy.
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Notes
The business-stealing effect indicates that a new entrant will and can acquire the market share from the incumbents making the incumbents reduce their outputs. See, Von Weizsäcker (1980), Suzumura and Kiyono (1987), Okuno-Fujiwara and Suzumura (1993) for other works on excessive entry in the presence of scale economies.
Other works, just name a few, see Matsumura and Okamura (2006) indicate that entry can be insufficient in spatial market; In an open economy without privatization policy, Marjit and Mukherjee (2013) show that entry in the domestic country may be socially excessive or insufficient under competitive labor markets, but it is always socially insufficient under a domestic labor union, while Wang et al. (2014)) in an international mixed oligopoly demonstrate that, in particular, the free entry number of domestic private firms is less than the welfare-maximized number of firms, free entry of domestic private firms is socially insufficient in an open economy.
This concept of knowledge spillover is similar to D’Aspremont and Jacquemin (1988).
In Haruna and Goel (2011), the symmetric assumption is used on their equation (2), and the output of the firms is \( {q}_i^{*}=\frac{a- c+\left[1+\gamma \left( N-1\right)\right]{x}_i}{N+1} \).We relax the symmetric assumption here, the rest of the mathematical calculations are affected due to the asymmetric assumption.
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We would like to thank the Editor and two anonymous referees for helpful comments and suggestions.
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Wang, L.F.S., Chao, A.C. & Lee, Jy. R&D and Social Inefficiency of Entry. J Ind Compet Trade 15, 181–187 (2015). https://doi.org/10.1007/s10842-014-0180-6
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DOI: https://doi.org/10.1007/s10842-014-0180-6