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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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File URL: http://dx.doi.org/10.1016/S0899-8256(02)00541-9
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number 1650.

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Handle: RePEc:cor:louvrp:1650
Note: In : Games and Economic Behavior, 42, 183-207, 2003
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  1. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  2. Griliches, Zvi, 1990. "Patent Statistics as Economic Indicators: A Survey," Journal of Economic Literature, American Economic Association, vol. 28(4), pages 1661-1707, December.
  3. 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.
  4. 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.
  5. 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.
  6. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  7. 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.
  8. Kamien, Morton I & Zang, Israel, 1993. "Competing Research Joint Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 2(1), pages 23-40, Spring.
  9. 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.
  10. AMIR, Rabah & WOODERS, John, 1997. "One-way spillovers, endogenous innovator/imitator roles and research joint ventures," CORE Discussion Papers 1997027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  12. 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.
  13. AMIR, Rabah, 1994. "Cournot Oligopoly and the Theory of Supermodular Games," CORE Discussion Papers 1994013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Lars-Hendrik Röller & Mikhel M. Tombak & Ralph Siebert, 1997. "Why Firms Form Research Joint Ventures: Theory and Evidence," CIG Working Papers FS IV 97-06, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG), revised Oct 1997.
  15. Barbara J. Spencer & James A. Brander, 1983. "International R&D Rivalry and Industrial Strategy," NBER Working Papers 1192, National Bureau of Economic Research, Inc.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. repec:fth:harver:1473 is not listed on IDEAS
  21. Ruff, Larry E., 1969. "Research and technological progress in a cournot economy," Journal of Economic Theory, Elsevier, vol. 1(4), pages 397-415, December.
  22. Rabah Amir & John Wooders, 1999. "Effects of One-Way Spillovers on Market Shares, Industry Price, Welfare, and R & D Cooperation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 8(2), pages 223-249, 06.
  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. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
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