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R&D Incentives Under Bertrand Competition: A Differential Game

  • ROBERTO CELLINI
  • LUCA LAMBERTINI

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 invest- ment monotonically increases in the number of firms. This result contradicts the established wisdom acquired from static games on the same topic. We also prove that, if competition is suficiently tough, any increase in product substitutability reduces R&D efforts.

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File URL: http://hdl.handle.net/10.1111/j.1468-5876.2011.00541.x
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Article provided by Japanese Economic Association in its journal Japanese Economic Review.

Volume (Year): 62 (2011)
Issue (Month): 3 (09)
Pages: 387-400

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Handle: RePEc:bla:jecrev:v:62:y:2011:i:3:p:387-400
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  1. 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.
  2. L. Lambertini & A. Mantovani, 2000. "Price vs Quantity in a Duopoly with Technological Spillovers: A Welfare Re-Appraisal," Working Papers 389, Dipartimento Scienze Economiche, Universita' di Bologna.
  3. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
  4. R. Cellini & L. Lambertini, 2004. "R&D Incentives and Market Structure: A Dynamic Analysis," Working Papers 497, Dipartimento Scienze Economiche, Universita' di Bologna.
  5. R. Cellini & L. Lambertini, 2002. "Private and Social Incentives Towards Investment in Product Differentiation," Working Papers 431, Dipartimento Scienze Economiche, Universita' di Bologna.
  6. Kenneth Arrow, 1962. "Economic Welfare and the Allocation of Resources for Invention," NBER Chapters, in: The Rate and Direction of Inventive Activity: Economic and Social Factors, pages 609-626 National Bureau of Economic Research, Inc.
  7. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, November.
  8. R. Cellini & L. Lambertini, 2003. "Dynamic R&D with Spillovers: Competition vs Cooperation," Working Papers 495, Dipartimento Scienze Economiche, Universita' di Bologna.
  9. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
  10. Hinloopen, Jeroen, 2000. "Strategic R&D Co-operatives," Research in Economics, Elsevier, vol. 54(2), pages 153-185, June.
  11. Bester, Helmut & Petrakis, Emmanuel, 1993. "The incentives for cost reduction in a differentiated industry," International Journal of Industrial Organization, Elsevier, vol. 11(4), pages 519-534.
  12. Reinganum, Jennifer F., 1989. "The timing of innovation: Research, development, and diffusion," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 14, pages 849-908 Elsevier.
  13. repec:cor:louvrp:-1584 is not listed on IDEAS
  14. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  15. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-14, May.
  16. Flaherty, M Therese, 1980. "Industry Structure and Cost-Reducing Investment," Econometrica, Econometric Society, vol. 48(5), pages 1187-1209, July.
  17. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
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