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Dynamic Games of R&D Competition in a Differentiated Duopoly

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  • Changying Li
  • Jianhu Zhang

Abstract

Based on a Hotelling-type model, this paper analyzes a differential game where two firms engage in quality-enhancing research and development (R&D). The analysis is formulated in terms of open-loop and feedback solutions. We find that the open-loop stationary levels of R&D and quality are socially efficient. Moreover, compared to open-loop strategies, feedback strategies lead to higher stationary levels of prices and profits, but lower levels of R&D, quality, consumer surplus, and social welfare. In addition, compared to the social optimum, both open-loop and feedback strategies yield a closer stationary distance between the two firms.

Suggested Citation

  • Changying Li & Jianhu Zhang, 2013. "Dynamic Games of R&D Competition in a Differentiated Duopoly," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 169(4), pages 660-679, December.
  • Handle: RePEc:mhr:jinste:urn:sici:0932-4569(201312)169:4_660:dgorci_2.0.tx_2-1
    DOI: 10.1628/093245613X671184
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    1. Erickson, Gary M., 1995. "Differential game models of advertising competition," European Journal of Operational Research, Elsevier, vol. 83(3), pages 431-438, June.
    2. 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 1133-1137, December.
    3. Stéphane Auray & Thomas Mariotti & Fabien Moizeau, 2011. "Dynamic regulation of quality," RAND Journal of Economics, RAND Corporation, vol. 42(2), pages 246-265, June.
    4. Harter, John F R, 1993. "Differentiated Products with R&D," Journal of Industrial Economics, Wiley Blackwell, vol. 41(1), pages 19-28, March.
    5. Lambertini, Luca, 2002. "Equilibrium locations in a spatial model with sequential entry in real time," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 47-58, January.
    6. Dasgupta, Partha & Stiglitz, Joseph, 1980. "Industrial Structure and the Nature of Innovative Activity," Economic Journal, Royal Economic Society, vol. 90(358), pages 266-293, June.
    7. James A. Brander & Barbara J. Spencer, 1983. "Strategic Commitment with R&D: The Symmetric Case," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 225-235, Spring.
    8. Tom Lee & Louis L. Wilde, 1980. "Market Structure and Innovation: A Reformulation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(2), pages 429-436.
    9. Bertuzzi, Giorgia & Lambertini, Luca, 2010. "Existence of equilibrium in a differential game of spatial competition with advertising," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 155-160, May.
    10. Brekke, Kurt R. & Cellini, Roberto & Siciliani, Luigi & Straume, Odd Rune, 2010. "Competition and quality in health care markets: A differential-game approach," Journal of Health Economics, Elsevier, vol. 29(4), pages 508-523, July.
    11. Avinash Dixit, 1988. "A General Model of R&D Competition and Policy," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 317-326, Autumn.
    12. Fershtman, Chaim, 1984. "Goodwill and Market Shares in Oligopoly," Economica, London School of Economics and Political Science, vol. 51(23), pages 271-281, August.
    13. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    14. Figuieres, C., 1998. "Complementarity, Substituability and Capital Accumulation," G.R.E.Q.A.M. 98a31, Universite Aix-Marseille III.
    15. James W. Friedman, 1983. "Advertising and Oligopolistic Equilibrium," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 464-473, Autumn.
    16. Jeremy Bulow, 1986. "An Economic Theory of Planned Obsolescence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 729-749.
    17. 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.
    18. Michael L. Katz, 1986. "An Analysis of Cooperative Research and Development," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 527-543, Winter.
    19. Frank M. Bass & Anand Krishnamoorthy & Ashutosh Prasad & Suresh P. Sethi, 2005. "Generic and Brand Advertising Strategies in a Dynamic Duopoly," Marketing Science, INFORMS, vol. 24(4), pages 556-568, February.
    20. Jun, Byoung & Vives, Xavier, 2004. "Strategic incentives in dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 116(2), pages 249-281, June.
    21. Charles Figuieres, 2002. "Complementarity, Substitutability And Strategic Accumulation Of Capital," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 371-390.
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    Cited by:

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    2. Wu, Cheng-Han, 2018. "Price competition and technology licensing in a dynamic duopoly," European Journal of Operational Research, Elsevier, vol. 267(2), pages 570-584.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing

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