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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. 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.
  2. 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).
  3. Rabah Amir & John Wooders, 1998. "One-Way Spillovers, Endogenous Innovator/Imitator Roles and Research Jointventures," CIE Discussion Papers 1998-10, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
  4. ROBERTS, John, . "On the existence of Cournot equilibrium without concave profit functions," CORE Discussion Papers RP -260, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. d'Aspremont, Claude & Bhattacharya, Sudipto & Gerard-Varet, Louis-Andre, 1998. "Knowledge as a public good: efficient sharing and incentives for development effort," Journal of Mathematical Economics, Elsevier, vol. 30(4), pages 389-404, November.
  6. D'ASPREMONT, Claude & BHATTACHARYA, Sudipto & GERARD-VARET, Louis-André, . "Bargaining and sharing innovative knowledge," CORE Discussion Papers RP -1465, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. Zvi Griliches, 1990. "Patent Statistics as Economic Indicators: A Survey," NBER Working Papers 3301, National Bureau of Economic Research, Inc.
  9. W. Salant, Stephen & Shaffer, Greg, 1998. "Optimal asymmetric strategies in research joint ventures," International Journal of Industrial Organization, Elsevier, vol. 16(2), pages 195-208, March.
  10. 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.
  11. Spencer, Barbara J & Brander, James A, 1983. "International R & D Rivalry and Industrial Strategy," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 707-22, October.
  12. 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.
  13. Ruff, Larry E., 1969. "Research and technological progress in a cournot economy," Journal of Economic Theory, Elsevier, vol. 1(4), pages 397-415, December.
  14. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
  15. repec:fth:harver:1473 is not listed on IDEAS
  16. Long, Ngo Van & Soubeyran, Antoine, 2001. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(2), pages 505-33, May.
  17. 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.
  18. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  19. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  20. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  21. Rabah Amir & Val E. Lambson, 1998. "On the Effects of Entry in Cournot Markets," CIE Discussion Papers 1998-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
  22. Kamien, Morton I & Zang, Israel, 1993. "Competing Research Joint Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 2(1), pages 23-40, Spring.
  23. 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.
  24. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
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