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

  • Amir, Rabah

    (Wissenschaftszentrum Berlin)

  • Wooders, John

    (Department of Economics, 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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File URL: http://www.ihs.ac.at/publications/eco/es-43.pdf
File Function: First version, 1997
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Paper provided by Institute for Advanced Studies in its series Economics Series with number 43.

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Length: 36 pages
Date of creation: May 1997
Date of revision:
Handle: RePEc:ihs:ihsesp:43
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  1. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  2. Mirman, L.J. & Samuelson, L. & Schlee, E.E., 1991. "Strategic information manipulation in duopolies," Discussion Paper 1991-37, Tilburg University, Center for Economic Research.
  3. 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.
  4. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  5. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  6. 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.
  7. 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).
  8. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-50, September.
  9. Boyer, M. & Moreaux, M., 1993. "Strategic Considerations in the Choice of Technological Flexibility," Papers 93.291, Toulouse - GREMAQ.
  10. Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August.
  11. 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.
  12. 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.
  13. 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.
  14. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-70, May.
  15. Roller, Lars-Hendrik & Sinclair-Desgagne, Bernard, 1996. "On the heterogeneity of firms," European Economic Review, Elsevier, vol. 40(3-5), pages 531-539, April.
  16. Val Eugene Lambson, 1992. "Competitive Profits in the Long Run," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 125-142.
  17. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  18. 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.
  19. 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.
  20. 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).
  21. 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.
  22. 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.
  23. Kimmel, Sheldon, 1992. "Effects of Cost Changes on Oligopolists' Profits," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 441-49, December.
  24. Flaherty, M Therese, 1980. "Industry Structure and Cost-Reducing Investment," Econometrica, Econometric Society, vol. 48(5), pages 1187-1209, July.
  25. 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.
  26. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-23, December.
  27. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
  28. Jay B. Barney, 1986. "Strategic Factor Markets: Expectations, Luck, and Business Strategy," Management Science, INFORMS, vol. 32(10), pages 1231-1241, October.
  29. 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.
  30. 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.
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