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Noncooperative versus cooperative R&D with endogenous spillover rates

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

Abstract

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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Bibliographic Info

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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Keywords: oligopolistic R&D; endogenous spillovers; research joint ventures; R&D cartel;

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References

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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. AMIR, Rabah & LAMBSON, Val, 1999. "On the effects of entry in Cournot markets," CORE Discussion Papers 1999059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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. 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.
  8. 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.
  9. Zvi Griliches, 1998. "Patent Statistics as Economic Indicators: A Survey," NBER Chapters, in: R&D and Productivity: The Econometric Evidence, pages 287-343 National Bureau of Economic Research, Inc.
  10. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  11. Ruff, Larry E., 1969. "Research and technological progress in a cournot economy," Journal of Economic Theory, Elsevier, vol. 1(4), pages 397-415, December.
  12. Ngo Van Long & Antoine Soubeyran, 1999. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," CIRANO Working Papers 99s-13, CIRANO.
  13. 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.
  14. 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.
  15. Amir, Rabah & Wooders, John, 2000. "One-Way Spillovers, Endogenous Innovator/Imitator Roles, and Research Joint Ventures," Games and Economic Behavior, Elsevier, vol. 31(1), pages 1-25, April.
  16. Kamien, Morton I & Zang, Israel, 1993. "Competing Research Joint Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 2(1), pages 23-40, Spring.
  17. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  18. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  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. 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.
  21. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  22. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  23. repec:fth:harver:1473 is not listed on IDEAS
  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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