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Symmetric research joint ventures : cooperative substitutes and complements

  • Dermot Leahy
  • J. Peter Neary

We introduce the concept of cooperative substitutes and complements, and use it to throw light on the conditions for a research joint venture to choose equal levels of R&D by all member firms. We show that the second-order conditions for a symmetric optimum take a particularly simple form, ruling out both excessive cooperative substitutability and excessive cooperative complementarity, and nesting conditions already derived in the literature. Finally we explore the implications of our results for the comparison between research joint ventures and a non-cooperative equilibrium.

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File URL: http://hdl.handle.net/10197/1789
File Function: First version, 2004
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Paper provided by School of Economics, University College Dublin in its series Working Papers with number 200417.

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Date of creation: May 2004
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Handle: RePEc:ucn:wpaper:200417
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  1. Seade, Jesus, 1980. "The stability of cournot revisited," Journal of Economic Theory, Elsevier, vol. 23(1), pages 15-27, August.
  2. Ngo Van Long & Antoine Soubeyran, 1999. "Asymmetric Contributions to Research Joint Ventures," The Japanese Economic Review, Japanese Economic Association, vol. 50(2), pages 122-137, 06.
  3. 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).
  4. Dermot Leahy & J. Peter Neary, 1995. "International R&D rivalry and industrial strategy without government commitment," Working Papers 199509, School of Economics, University College Dublin.
  5. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
  6. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-22, February.
  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. 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.
  9. Oz Shy, 1996. "Industrial Organization: Theory and Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262691795, June.
  10. Henriques, Irene, 1990. "Cooperative and Noncooperative R&D in Duopoly with Spillovers: Comment," American Economic Review, American Economic Association, vol. 80(3), pages 638-40, June.
  11. Salant, S.W. & Shaffer, G., 1997. "Optimal Asymmetric Strategies in Research Joint Ventures," Papers 97-06, Michigan - Center for Research on Economic & Social Theory.
  12. F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," Review of Economic Studies, Oxford University Press, vol. 29(4), pages 329-331.
  13. 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.
  14. B. Douglas Bernheim & Michael D. Whinston, 1990. "Multimarket Contact and Collusive Behavior," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 1-26, Spring.
  15. 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.
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