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One-way spillovers, endogenous innovator/imitator roles and research joint ventures

  • AMIR, Rabah

    (Wissenschaftszentrum Berlin, Berlin, Germany)

  • WOODERS, John

    (Department of Economics; University of Arizona, Tucson)

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. We also provide a general analysis of the social benefits of, and firms’ incentive for, forming research joint ventures. 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 Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1997027.

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Date of creation: 01 Apr 1997
Date of revision:
Handle: RePEc:cor:louvco:1997027
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  1. 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.
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  4. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  5. 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.
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  9. 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.
  10. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-70, May.
  11. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  12. AMIR , 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).
  13. 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).
  14. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-23, December.
  15. Mirman Leonard J. & Samuelson Larry & Schlee Edward E., 1994. "Strategic Information Manipulation in Duopolies," Journal of Economic Theory, Elsevier, vol. 62(2), pages 363-384, April.
  16. 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.
  17. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  18. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-50, September.
  19. 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.
  20. 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.
  21. 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.
  22. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  23. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  24. Kimmel, Sheldon, 1992. "Effects of Cost Changes on Oligopolists' Profits," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 441-49, December.
  25. 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.
  26. Roller, Lars-Hendrik & Sinclair-Desgagne, Bernard, 1996. "On the heterogeneity of firms," European Economic Review, Elsevier, vol. 40(3-5), pages 531-539, April.
  27. 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.
  28. Flaherty, M Therese, 1980. "Industry Structure and Cost-Reducing Investment," Econometrica, Econometric Society, vol. 48(5), pages 1187-1209, July.
  29. 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.
  30. 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.
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