Skip to main content

Advertisement

Log in

R&D Incentives and Market Structure: Dynamic Analysis

  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

We investigate dynamic R&D for process innovation in an oligopoly where firms invest in cost-reducing activities. We focus on the relationship between R&D intensity and market structure, proving that the industry R&D investment increases monotonically with the number of firms. This Arrowian result contradicts the established wisdom acquired from static games on the same topic.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.A. Schumpeter (1942C) apitalism, Socialism, and Democracy Harper New York, NY

    Google Scholar 

  2. K.J. Arrow (1962) Economic Welfare and the Allocation of Resources for Invention, The Rate and Direction of Industrial Activity, Edited by R. Nelson Princeton University Press Princeton, New Jersey

    Google Scholar 

  3. J. Tirole (1988) The Theory of Industrial Organization MIT Press Cambridge, Massachusetts

    Google Scholar 

  4. Reinganum J. (1989). The Timing of Innovation: Research, Development, and Diffusion, Handbook of Industrial Organization, Edited by R. Schmalensee and R. Willig, North-Holland, Amsterdam, Netherlands, Vol. 1, 1989.

  5. S. Martin (2001) Advanced Industrial Economics EditionNumber2 Blackwell Oxford, UK

    Google Scholar 

  6. C. D’aspremont A. Jacquemin (1988) ArticleTitleCoopertaive and Noncoopertaive R&D in Duopoly with Spillovers American Economic Review. 78 1133–1137

    Google Scholar 

  7. J. Hinloopen (2000) ArticleTitleStrategic R&D Cooperatives Research in Economics. 54 153–185 Occurrence Handle10.1006/reec.1999.0211

    Article  Google Scholar 

  8. M.I. Kamien E. . Muller I. Zang (1992) ArticleTitleCooperative Joint Ventures and R&D Cartels American Economic Review. 82 1293–1306

    Google Scholar 

  9. K. Suzumura (1992) ArticleTitleCooperative and Noncooperative R&D in Duopoly with Spillovers American Economics Review. 82 1307–1320

    Google Scholar 

  10. Amir R. Modelling Imperfectly Appropriable R&D via Spillovers, International Journal of Industrial Organization, Vol. 18, pp. 1013–1032.

  11. R. Cellini L. Lambertini (2003) Dynamic R&D with Spillovers: Competition vs Cooperation, Working Paper 495, Department of Economics University of Bologna Bologna

    Google Scholar 

  12. G. Leitmann W.E. Schmitendorf (1978) ArticleTitleProfit Maximization through Advertising: A Nonzero-Sum Differential Game Approach IEEE Transactions on Automatic Control 23 640–650

    Google Scholar 

  13. G. Feichtinger (1983) ArticleTitleThe Nash Solution of an Advertising Differential Game: Generalization of a model by Leitmann and Schmitendorf IEEE Transactions on Automatic Control. 28 1044–1048 Occurrence Handle10.1109/TAC.1983.1103174

    Article  Google Scholar 

  14. C. Fershtmann (1987) ArticleTitleIdentification of Classes of Differential Games for Which the Open-Loop is a Degenerated Feedback Nash Equilibrium Journal of Optimization Theory and Applications 55 217–231 Occurrence Handle10.1007/BF00939082

    Article  Google Scholar 

  15. Clemhout S., Wan, H.Y. Jr. A Class of Trilinear Differential Games, Journal of Optimization Theory and Applications, Vol. 14, pp. 419–424.

  16. J. Reinganum (1982) ArticleTitleA Class of Differential Games for Which the Closed-Loop and Open-Loop Nash Equilibria Coincide Journal of Optimization Theory and Applications. 36 253–262 Occurrence Handle10.1007/BF00933832

    Article  Google Scholar 

  17. A. Mehlmann (1988) Applied Differential Games Plenum Press New York, NY.

    Google Scholar 

  18. E.J. Dockner S. Jørgensen N.V. Long G. Sorger (2000) Differential Games in Economics and Management Science Cambridge University Press Cambridge, UK.

    Google Scholar 

  19. R. Cellini L. Lambertini (2002) ArticleTitleA Differential Game Approach to Investment in Product Differentiation Journal of Economics Dynamics and Control. 27 51–62 Occurrence Handle10.1016/S0165-1889(01)00026-4

    Article  Google Scholar 

  20. R. Cellini L. Lambertini (2004) ArticleTitlePrivate and Social Incentives Toward Investment in Product Differentiation International Game Theory Review. 6 493–508 Occurrence Handle10.1142/S0219198904000320 Occurrence HandleMR2110661

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors thank Jeroen Hinloopen and George Leitmann for useful comments and discussions

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cellini, R., Lambertini, L. R&D Incentives and Market Structure: Dynamic Analysis. J Optim Theory Appl 126, 85–96 (2005). https://doi.org/10.1007/s10957-005-2659-0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10957-005-2659-0

Keywords

Navigation