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Time to Complete and Research Joint Ventures: A Differential Game Approach

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  • Navas, J.
  • Kort, P.M.

    (Tilburg University, Center for Economic Research)

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, Center for Economic Research in its series Discussion Paper with number 2005-29.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:200529

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Keywords: Differential games; Research Joint Ventures; Time to complete;

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  1. Kort, P.M., 1998. "Optimal R&D investments of the firm," Open Access publications from Tilburg University urn:nbn:nl:ui:12-77109, Tilburg University.
  2. 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.
  3. 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.
  4. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
  5. Kristian R. Miltersen & Eduardo S. Schwartz, 2004. "R&D Investments with Competitive Interactions," NBER Working Papers 10258, National Bureau of Economic Research, Inc.
  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. Petit, Maria Luisa & Tolwinski, Boleslaw, 1999. "R&D cooperation or competition?," European Economic Review, Elsevier, vol. 43(1), pages 185-208, January.
  8. 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.
  9. 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).
  10. Hagedoorn, John & Link, Albert N. & Vonortas, Nicholas S., 2000. "Research partnerships1," Research Policy, Elsevier, vol. 29(4-5), pages 567-586, April.
  11. Kristian R. Miltersen & Eduardo S. Schwart, 2004. "R&D Investments with Competitive Interactions," Review of Finance, Springer, vol. 8(3), pages 355-401.
  12. Kamien,Morton I. & Schwartz,Nancy L., 1982. "Market Structure and Innovation," Cambridge Books, Cambridge University Press, number 9780521293853, October.
  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. Benfratello, Luigi & Sembenelli, Alessandro, 2002. "Research joint ventures and firm level performance," Research Policy, Elsevier, vol. 31(4), pages 493-507, May.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
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Cited by:
  1. Bondarev, Anton, 2014. "Endogenous specialization of heterogeneous innovative activities of firms under the technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 235-249.

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