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Noncooperative versus cooperative R&D with endogenous spillover rates

  • AMIR, Rabah
  • EVSTIGNEEV, Igor
  • WOODERS, John

This paper deals with a general version of a two-stage model of R&D and product market competition. We provide a thorough generalization of previous results on the comparative performance of noncooperative and cooperative R&D, dispensing in particular with ex-post firm symmetry and linear demand assumptions. We also characterize the structure of profit-maximizing R&D cartels where firms competing in a product market jointly decide R&D expenditure, as well as internal spillover, levels. We establish the firms would essentially always prefer extremal spillovers, and within the context of a standard specification, derive conditions for the optimality of minimal spillover.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2001050.

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Date of creation: 00 Oct 2001
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Handle: RePEc:cor:louvco:2001050
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  1. Amir, Rabah & Lambson, Val E, 2000. "On the Effects of Entry in Cournot Markets," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 235-54, April.
  2. Röller, Lars-Hendrik & Siebert, Ralph & Tombak, Mihkel, 1997. "Why Firms Form Research Joint Ventures: Theory and Evidence," CEPR Discussion Papers 1654, C.E.P.R. Discussion Papers.
  3. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  4. Barbara J. Spencer & James A. Brander, 1982. "International R&D Rivalry and Industrial Strategy," Working Papers 518, Queen's University, Department of Economics.
  5. D'Aspremont, C. & Bhattacharya, S. & Gerard-Varet, L.A., 1993. "Knowledge as a Public Good: Efficient Sharing and Incentives for Development Effort," G.R.E.Q.A.M. 93a18, Universite Aix-Marseille III.
  6. Rabah Amir & John Wooders, 1998. "Effects of One-way Spillovers on Market Shares, Industry Price, Welfare, and R&D Cooperation," CIE Discussion Papers 1998-09, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
  7. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
  8. Greg Shaffer & Stephen W. Salant, 1999. "Unequal Treatment of Identical Agents in Cournot Equilibrium," American Economic Review, American Economic Association, vol. 89(3), pages 585-604, June.
  9. Amir, Rabah & Wooders, John, 1997. "One-Way Spillovers, Endogenous Innovator/Imitator Roles and Research Joint Ventures," Economics Series 43, Institute for Advanced Studies.
  10. Ruff, Larry E., 1969. "Research and technological progress in a cournot economy," Journal of Economic Theory, Elsevier, vol. 1(4), pages 397-415, December.
  11. Zvi Griliches, 1990. "Patent Statistics as Economic Indicators: A Survey," NBER Working Papers 3301, National Bureau of Economic Research, Inc.
  12. Roberts, John & Sonnenschein, Hugo, 1976. "On the existence of Cournot equilbrium without concave profit functions," Journal of Economic Theory, Elsevier, vol. 13(1), pages 112-117, August.
  13. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  14. Ngo Van Long & Antoine Soubeyran, 1999. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," CIRANO Working Papers 99s-13, CIRANO.
  15. 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.
  16. Susan Athey & Armin Schmutzler, 1995. "Product and Process Flexibility in an Innovative Environment," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 557-574, Winter.
  17. repec:fth:harver:1473 is not listed on IDEAS
  18. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  19. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-37, December.
  20. Bergstrom, Theodore C & Varian, Hal R, 1985. "When Are Nash Equilibria Independent of the Distribution of Agents' Characteristics?," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 715-18, October.
  21. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  22. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  23. d' Aspremont, Claude & Bhattacharya, Sudipto & Gerard-Varet, Louis-Andre, 2000. "Bargaining and Sharing Innovative Knowledge," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 255-71, April.
  24. Kamien, Morton I & Zang, Israel, 1993. "Competing Research Joint Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 2(1), pages 23-40, Spring.
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