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Long-term research and development incentives in a dynamic Cournot duopoly

Author

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  • Yap, Yee Jiun
  • Luckraz, Shravan
  • Tey, Siew Kian

Abstract

This paper constructs an ex-ante asymmetric R&D Cournot differential game with knowledge spillovers. It shows that in the long-run equilibrium firms have incentives to innovate as long as the knowledge externalities are bidirectional. We also carry out a series of numerical simulations of the differential game to illustrate our results.

Suggested Citation

  • Yap, Yee Jiun & Luckraz, Shravan & Tey, Siew Kian, 2014. "Long-term research and development incentives in a dynamic Cournot duopoly," Economic Modelling, Elsevier, vol. 39(C), pages 8-18.
  • Handle: RePEc:eee:ecmode:v:39:y:2014:i:c:p:8-18
    DOI: 10.1016/j.econmod.2014.02.020
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    References listed on IDEAS

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    1. d'Aspremont, Claude & Jacquemin, Alexis, 1990. "Cooperative and Noncooperative R&D in Duopoly with Spillovers: Erratum," American Economic Review, American Economic Association, vol. 80(3), pages 641-642, June.
    2. Amir, Rabah, 2000. "Modelling imperfectly appropriable R&D via spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 1013-1032, October.
    3. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    4. Leahy, Dermot & Neary, J. Peter, 2007. "Absorptive capacity, R&D spillovers, and public policy," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 1089-1108, October.
    5. Cohen, Wesley M & Levinthal, Daniel A, 1989. "Innovation and Learning: The Two Faces of R&D," Economic Journal, Royal Economic Society, vol. 99(397), pages 569-596, September.
    6. Suzumura, Kotaro, 1992. "Cooperative and Noncooperative R&D in an Oligopoly with Spillovers," American Economic Review, American Economic Association, vol. 82(5), pages 1307-1320, December.
    7. Luckraz, Shravan, 2013. "On innovation cycles in a finite discrete R&D game," Economic Modelling, Elsevier, vol. 30(C), pages 510-513.
    8. Simpson, R David & Vonortas, Nicholas S, 1994. "Cournot Equilibrium with Imperfectly Appropriable R&D," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 79-92, March.
    9. 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 1293-1306, December.
    10. Henriques, Irene, 1990. "Cooperative and Noncooperative R&D in Duopoly with Spillovers: Comment," American Economic Review, American Economic Association, vol. 80(3), pages 638-640, June.
    11. James Bessen & Eric Maskin, 2009. "Sequential innovation, patents, and imitation," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 611-635, December.
    12. 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.
    13. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-121, January.
    14. S. Luckraz, 2008. "Process Spillovers and Growth," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 315-335, November.
    15. Kamien, Morton I. & Zang, Israel, 2000. "Meet me halfway: research joint ventures and absorptive capacity," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 995-1012, October.
    16. Luckraz, Shravan, 2011. "R&D games in a Cournot duopoly with isoelastic demand functions: A comment," Economic Modelling, Elsevier, vol. 28(6), pages 2873-2876.
    17. Grunfeld, Leo A., 2003. "Meet me halfway but don't rush: absorptive capacity and strategic R&D investment revisited," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1091-1109, October.
    18. Kultti, Klaus & Takalo, Tuomas, 1998. "R&D spillovers and information exchange," Economics Letters, Elsevier, vol. 61(1), pages 121-123, October.
    19. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    20. repec:bla:jindec:v:46:y:1998:i:3:p:333-57 is not listed on IDEAS
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    1. Goel, Rajeev K. & Saunoris, James W., 2016. "Institutional path dependence and international research intensity," Economic Modelling, Elsevier, vol. 52(PB), pages 851-858.
    2. Haruna Shoji & Goel Rajeev K., 2016. "International Tariffs in a Mixed Oligopoly with Research Spillovers," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 22(3), pages 277-293, August.

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