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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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File URL: http://dx.doi.org/10.1016/S0899-8256(02)00541-9
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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 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. 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.
  2. 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).
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  13. 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.
  14. 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.
  15. Kamien, Morton I & Zang, Israel, 1993. "Competing Research Joint Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 2(1), pages 23-40, Spring.
  16. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  17. Ngo Van Long & Antoine Soubeyran, 1999. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," CIRANO Working Papers 99s-13, CIRANO.
  18. repec:fth:harver:1473 is not listed on IDEAS
  19. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  20. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  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. 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.
  23. 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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