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The gains from cooperative R&D with a concave technology and spillovers

  • L. Lambertini
  • G. Rossini

We reassess the respective gains from R&D cooperation and competition in a Cournot duopoly where firms adopt a concave cost-reducing R&D technology. Cooperation, in the form of either a cartel or a joint venture, is always profitable for firms and, contrary to the previous literature on the same topic, (i) no corner solutions emerge and (ii) R&D cooperation is socially superior to independent ventures for any spillover level, provided the cost of R&D financing is sufficiently high.

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Paper provided by Dipartimento Scienze Economiche, Universita' di Bologna in its series Working Papers with number 508.

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Date of creation: 2004
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Handle: RePEc:bol:bodewp:508
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  1. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
  2. Cellini, Roberto & Lambertini, Luca, 2009. "Dynamic R&D with spillovers: Competition vs cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 568-582, March.
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  4. Amir, Rabah, 2000. "Modelling imperfectly appropriable R&D via spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 1013-1032, October.
  5. Lambertini, Luca & Schultz, Christian, 2003. "Price or quantity in tacit collusion?," Economics Letters, Elsevier, vol. 78(1), pages 131-137, January.
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  7. Rothschild, R., 1995. "Sustaining collusion when the choice of strategic variable is endogenous," Journal of Economic Behavior & Organization, Elsevier, vol. 28(3), pages 373-385, December.
  8. Lambertini, L. & Sasaki, D., 1998. "Non-Negative Quantity Constraints and the Duration of Punishment," Department of Economics - Working Papers Series 630, The University of Melbourne.
  9. Amir, Rabah & Evstigneev, Igor & Wooders, John, 2003. "Noncooperative versus cooperative R&D with endogenous spillover rates," Games and Economic Behavior, Elsevier, vol. 42(2), pages 183-207, February.
  10. Katsoulacos, Yannis & Ulph, David, 1998. "Endogenous Spillovers and the Performance of Research Joint Ventures," Journal of Industrial Economics, Wiley Blackwell, vol. 46(3), pages 333-57, September.
  11. Luca Lambertini, 1997. "Prisoners’ Dilemma in Duopoly (Super)games," CIE Discussion Papers 1997-08, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
  12. 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.
  13. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
  14. Tom Ross, 1990. "Cartel Stability And Product Differentiation," Carleton Industrial Organization Research Unit (CIORU) 90-04, Carleton University, Department of Economics.
  15. Hackner, Jonas, 1996. "Optimal symmetric punishments in a Bertrand differentiated products duopoly," International Journal of Industrial Organization, Elsevier, vol. 14(5), pages 611-630, July.
  16. L. Lambertini & C. Schultz, 2000. "Price vs Quantityin a Repeated Differentiated Duopoly," Working Papers 379, Dipartimento Scienze Economiche, Universita' di Bologna.
  17. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
  18. 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.
  19. Chang, Myong-Hun, 1992. "Intertemporal Product Choice and Its Effects on Collusive Firm Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(4), pages 773-93, November.
  20. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
  21. Chang, Myong-Hun, 1991. "The effects of product differentiation on collusive pricing," International Journal of Industrial Organization, Elsevier, vol. 9(3), pages 453-469, September.
  22. Kotaro Suzumura, 1990. "Cooperative and Non-cooperative R&D in Oligopoly with Spillovers," Discussion Paper Series a218, Institute of Economic Research, Hitotsubashi University.
  23. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  24. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
  25. Luca Lambertini & Dan Sasaki, 1999. "Optimal punishments in linear duopoly supergames with product differentiation," Journal of Economics, Springer, vol. 69(2), pages 173-188, June.
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