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Time to complete and research joint ventures: A differential game approach

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  • Kort, P.M.

    (Tilburg University)

  • Navas, J.

Abstract

In this paper we analyze cooperation in R&D in the form of RJVs.We show that the optimal size of an RJV does not only depend on the degree of spillovers, as literature suggests, but also on the cost function of R&D activities.Moreover, the explicit consideration of the fact that R&D projects take time to complete shows that benefits from cooperation in R&D not only allow RJVs to carry out larger R&D projects, but also to reduce the time to completion for projects with a given size and, consequently, to accelerate the acquisition of the benefits associated with the innovation.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-194290.

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Date of creation: 2007
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Publication status: Published in Journal of Economic Dynamics and Control (2007) v.31, p.1672-1696
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-194290

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Web page: http://www.tilburguniversity.edu/

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  1. Hagedoorn, John & Link, Albert N. & Vonortas, Nicholas S., 2000. "Research partnerships1," Research Policy, Elsevier, vol. 29(4-5), pages 567-586, April.
  2. Kort, P.M., 1996. "Optimal R&D Investments of the Firm," Discussion Paper 1996-47, Tilburg University, Center for Economic Research.
  3. Cohen, Wesley M. & Levin, Richard C., 1989. "Empirical studies of innovation and market structure," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 18, pages 1059-1107 Elsevier.
  4. Kristian R. Miltersen & Eduardo S. Schwartz, 2004. "R&D Investments with Competitive Interactions," NBER Working Papers 10258, National Bureau of Economic Research, Inc.
  5. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716.
  6. Poyago-Theotoky, Joanna, 1995. "Equilibrium and Optimal Size of a Research Joint Venture in an Oligopoly with Spillovers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 209-26, June.
  7. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
  8. Benfratello, Luigi & Sembenelli, Alessandro, 2002. "Research joint ventures and firm level performance," Research Policy, Elsevier, vol. 31(4), pages 493-507, May.
  9. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
  10. Suzumura, Kotaro, 1992. "Cooperative and Noncooperative R&D in an Oligopoly with Spillovers," American Economic Review, American Economic Association, vol. 82(5), pages 1307-20, December.
  11. De Bondt, Raymond & Slaets, Patrick & Cassiman, Bruno, 1992. "The degree of spillovers and the number of rivals for maximum effective R &D," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 35-54, March.
  12. d'ASPREMONT, Claude & JACQUEMIN, Alexis, . "Cooperative and noncooperative R&D in duopoly with spillovers," CORE Discussion Papers RP -823, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Vania Sena, 2004. "The Return of the Prince of Denmark: A Survey on Recent Developments in the Economics of Innovation," Economic Journal, Royal Economic Society, vol. 114(496), pages F312-F332, 06.
  14. Kamien,Morton I. & Schwartz,Nancy L., 1982. "Market Structure and Innovation," Cambridge Books, Cambridge University Press, number 9780521293853, October.
  15. Petit, Maria Luisa & Tolwinski, Boleslaw, 1999. "R&D cooperation or competition?," European Economic Review, Elsevier, vol. 43(1), pages 185-208, January.
  16. Reinganum, Jennifer F., 1989. "The timing of innovation: Research, development, and diffusion," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 14, pages 849-908 Elsevier.
  17. Kristian R. Miltersen & Eduardo S. Schwart, 2004. "R&D Investments with Competitive Interactions," Review of Finance, Springer, vol. 8(3), pages 355-401.
  18. Kamien, Morton I & Muller, Eitan & Zang, Israel, 1992. "Research Joint Ventures and R&D Cartels," American Economic Review, American Economic Association, vol. 82(5), pages 1293-306, December.
  19. Steurs, Geert, 1995. "Inter-industry R&D spillovers: What difference do they make?," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 249-276.
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