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

  • Navas, Jorge
  • Kort, Peter M.

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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File URL: http://www.sciencedirect.com/science/article/B6V85-4KPP41C-1/2/3a87ae64b45d7ac70549f9bb6a4e6da6
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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 31 (2007)
Issue (Month): 5 (May)
Pages: 1672-1696

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Handle: RePEc:eee:dyncon:v:31:y:2007:i:5:p:1672-1696
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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  1. Jeffrey I. Bernstein & M. Ishaq Nadiri, 1986. "Research and Development and Intraindustry Spillovers: An Empirical Application of Dynamic Duality," NBER Working Papers 2002, National Bureau of Economic Research, Inc.
  2. 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.
  3. Benfratello, Luigi & Sembenelli, Alessandro, 2002. "Research joint ventures and firm level performance," Research Policy, Elsevier, vol. 31(4), pages 493-507, May.
  4. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, June.
  5. 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.
  6. 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.
  7. 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.
  8. Kamien,Morton I. & Schwartz,Nancy L., 1982. "Market Structure and Innovation," Cambridge Books, Cambridge University Press, number 9780521293853.
  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. 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.
  11. 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.
  12. Jeffrey I. Bernstein, 1988. "Costs of Production, Intra- and Interindustry R&D Spillovers: Canadian Evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 21(2), pages 324-47, May.
  13. Hagedoorn, John, 2002. "Inter-firm R&D partnerships: an overview of major trends and patterns since 1960," Research Policy, Elsevier, vol. 31(4), pages 477-492, May.
  14. Petit, Maria Luisa & Tolwinski, Boleslaw, 1999. "R&D cooperation or competition?," European Economic Review, Elsevier, vol. 43(1), pages 185-208, January.
  15. Kristian R. Miltersen & Eduardo S. Schwartz, 2004. "R&D Investments with Competitive Interactions," NBER Working Papers 10258, National Bureau of Economic Research, Inc.
  16. 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.
  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. Michael L. Katz, 1986. "An Analysis of Cooperative Research and Development," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 527-543, Winter.
  19. 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.
  20. 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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