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R&D Incentives Under Bertrand Competition: A Differential Game


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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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. 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.
  2. R. Cellini & L. Lambertini, 2003. "Dynamic R&D with Spillovers: Competition vs Cooperation," Working Papers 495, Dipartimento Scienze Economiche, Universita' di Bologna.
  3. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-14, May.
  4. Bester, H. & Petrakis, E., 1991. "The Incentives for Cost Reduction in a Differentiated Industry," Papers 9136, Tilburg - Center for Economic Research.
  5. 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.
  6. LAMBERTINI, Luca & MANTOVANI, Andrea, . "Price vs quantity in a duopoly with technological spillovers: a welfare re-appraisal," CORE Discussion Papers RP 1584, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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).
  8. 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.
  9. R. Cellini & L. Lambertini, 2002. "Private and Social Incentives Towards Investment in Product Differentiation," Working Papers 431, Dipartimento Scienze Economiche, Universita' di Bologna.
  10. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
  11. Hinloopen, Jeroen, 2000. "Strategic R&D Co-operatives," Research in Economics, Elsevier, vol. 54(2), pages 153-185, June.
  12. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-21, January.
  13. 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.
  14. repec:cor:louvrp:-1584 is not listed on IDEAS
  15. R. Cellini & L. Lambertini, 2004. "R&D Incentives and Market Structure: A Dynamic Analysis," Working Papers 497, Dipartimento Scienze Economiche, Universita' di Bologna.
  16. 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.
  17. Flaherty, M Therese, 1980. "Industry Structure and Cost-Reducing Investment," Econometrica, Econometric Society, vol. 48(5), pages 1187-1209, July.
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