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Dynamic Duopoly with Vertical Differentiation

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  • L. Lambertini

Abstract

I analyse a differential game where firms, through capital accumulation over time, supply vertically differentiated goods. This proves that several results obtained by the static approach are not robust. I show that (i) the sustainability of the duopoly regime is conditional upon the level of firms R&D investments; (ii) there are quality ranges where the low quality firm invests more than the high quality firm; (ii) there are quality ranges where the low quality firm s profits are larger than the high quality firm s.

Suggested Citation

  • L. Lambertini, 2001. "Dynamic Duopoly with Vertical Differentiation," Working Papers 396, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:396
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    References listed on IDEAS

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    1. Champsaur, Paul & Rochet, Jean-Charles, 1989. "Multiproduct Duopolists," Econometrica, Econometric Society, vol. 57(3), pages 533-557, May.
    2. Cremer, Helmuth & Thisse, Jacques-Francois, 1994. "Commodity Taxation in a Differentiated Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 613-633, August.
    3. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    4. K. Sridhar Moorthy, 1988. "Product and Price Competition in a Duopoly," Marketing Science, INFORMS, vol. 7(2), pages 141-168.
    5. Motta, Massimo, 1992. "Cooperative R&D and vertical product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 643-661, December.
    6. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 2002. "Research joint ventures, product differentiation, and price collusion," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 829-854, June.
    7. Wauthy, Xavier, 1996. "Quality Choice in Models of Vertical Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 44(3), pages 345-353, September.
    8. Aoki, Reiko & Prusa, Thomas J., 1997. "Sequential versus simultaneous choice with endogenous quality," International Journal of Industrial Organization, Elsevier, vol. 15(1), pages 103-121, February.
    9. Jaskold Gabszewicz, J. & Thisse, J. -F., 1980. "Entry (and exit) in a differentiated industry," Journal of Economic Theory, Elsevier, vol. 22(2), pages 327-338, April.
    10. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    11. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    12. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
    13. Yehuda Kotowitz & Frank Mathewson, 1979. "Advertising, Consumer Information, and Product Quality," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 566-588, Autumn.
    14. Rosenkranz, Stephanie, 1997. "Quality improvements and the incentive to leapfrog," International Journal of Industrial Organization, Elsevier, vol. 15(2), pages 243-261, April.
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