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One-Way Spillovers, Endogenous Innovator/Imitator Roles and Research Jointventures

  • Rabah Amir

    (Institute of Economics, University of Copenhagen)

  • John Wooders

    (University of Arizona)

We consider a two-period duopoly characterized by a one-way spillover structure in process R&D and a very broad specification of product market competition. We show that a priori identical firms always engage in different levels of R&D, at equilibrium, thus giving rise to an innovator/imitator configuration and ending up with different sizes. In view of this endogenous firm heterogeneity, the social benefits of, and the firms´ incentives for, research joint ventures are somewhat different from the case of ex post firm symmetry. The key properties of the game are submodularity (R&D decisions are strategic substitutes) and lack of global concavity.

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Paper provided by University of Copenhagen. Department of Economics. Centre for Industrial Economics in its series CIE Discussion Papers with number 1998-10.

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Length: 11 pages
Date of creation: Jun 1998
Date of revision:
Publication status: Published in: Games and Economic Behaviour, 31(1), 2000, 1-25
Handle: RePEc:kud:kuieci:1998-10
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  1. 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).
  2. Milgrom, Paul & Roberts, John, 1990. "The Economics of Modern Manufacturing: Technology, Strategy, and Organization," American Economic Review, American Economic Association, vol. 80(3), pages 511-28, June.
  3. Salant, S.W. & Shaffer, G., 1992. "Optimal Asymmetric Strategies in Research Joint Ventures: A Comment on the Literature," Papers 93-06, Michigan - Center for Research on Economic & Social Theory.
  4. 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.
  5. Kimmel, Sheldon, 1992. "Effects of Cost Changes on Oligopolists' Profits," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 441-49, December.
  6. 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.
  7. Rabah Amir & John Wooders, 1998. "Cooperation vs. competition in R&D: The role of stability of equilibrium," Journal of Economics, Springer, vol. 67(1), pages 63-73, February.
  8. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
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  11. AMIRÂ , Rabah, 1995. "Continuous Stochastic Games of Capital Accumulation with Convex Transition," CORE Discussion Papers 1995009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Barbara J. Spencer & James A. Brander, 1983. "International R & D Rivalry and Industrial Strategy," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 707-722.
  13. Flaherty, M Therese, 1980. "Industry Structure and Cost-Reducing Investment," Econometrica, Econometric Society, vol. 48(5), pages 1187-1209, July.
  14. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
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  16. R. E. Caves & M. E. Porter, 1977. "From Entry Barriers to Mobility Barriers: Conjectural Decisions and Contrived Deterrence to New Competition," The Quarterly Journal of Economics, Oxford University Press, vol. 91(2), pages 241-261.
  17. Val Eugene Lambson, 1992. "Competitive Profits in the Long Run," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 125-142.
  18. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  19. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-23, December.
  20. De Bondt, Raymond & Slaets, Patrick & Cassiman, Bruno, 1992. "The degree of spillovers and the number of rivals for maximum effective R &D," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 35-54, March.
  21. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  22. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  23. Roller, Lars-Hendrik & Sinclair-Desgagne, Bernard, 1996. "On the heterogeneity of firms," European Economic Review, Elsevier, vol. 40(3-5), pages 531-539, April.
  24. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
  25. Jay B. Barney, 1986. "Strategic Factor Markets: Expectations, Luck, and Business Strategy," Management Science, INFORMS, vol. 32(10), pages 1231-1241, October.
  26. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-50, September.
  27. 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.
  28. Boyer, M. & Moreaux, M., 1993. "Strategic Considerations in the Choice of Technological Flexibility," Papers 93.291, Toulouse - GREMAQ.
  29. Theodore C. Bergstrom & Hal R. Varian, 1985. "When Are Nash Equilibria Independent of the Distribution of Agents' Characteristics?," Review of Economic Studies, Oxford University Press, vol. 52(4), pages 715-718.
  30. Arthur Fishman & Rafael Rob, 1993. "The durability of information, market efficiency, and the size of firms," Working Papers 94-4, Federal Reserve Bank of Philadelphia.
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