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R&D and Production Behavior of Asymmetric Duopoly Subject to Knowledge Spillovers

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  • Joseph Plasmans

Abstract

We construct an asymmetri c duopolistic R&D and production behavior model subject to knowledge spillovers. This model is an extension to the symmetric model of d'Aspremont and Jacquemin (A&J (1988)) and aims to determine the cooperative and non-cooperative R&D strategies for two agents of different size. The paper concludes that the introduction of asymmetry into the A&J (1988) model leads to different R&D expenditures and production decisions made by the firms. Simulations show that the bigger agent has larger R&D expenditures and higher output. If firms choose the monopoly collusion or the welfare-maximizing strategy, the optimal solution implies that R&D is conducted asymmetrically by both agents, but that production is conducted only by the largest agent.

Suggested Citation

  • Joseph Plasmans, 2000. "R&D and Production Behavior of Asymmetric Duopoly Subject to Knowledge Spillovers," CESifo Working Paper Series 287, CESifo.
    • Handle: RePEc:ces:ceswps:_287
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    References listed on IDEAS

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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 1133-1137, December.
    2. Raymond De Bondt & Irene Henriques, 1995. "Strategic Investment with Asymmetric Spillovers," Canadian Journal of Economics, Canadian Economics Association, vol. 28(3), pages 656-674, August.
    3. 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.
    4. 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.
    5. Leahy, Dermot & Neary, J Peter, 1999. "R&D Spillovers and the Case for Industrial Policy in an Open Economy," Oxford Economic Papers, Oxford University Press, vol. 51(1), pages 40-59, January.
    6. 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.
    7. Petit, Maria Luisa & Tolwinski, Boleslaw, 1999. "R&D cooperation or competition?," European Economic Review, Elsevier, vol. 43(1), pages 185-208, January.
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    Cited by:

    1. Lukach, R. & Plasmans, J.E.J., 2002. "Measuring Knowledge Spillovers using Patent Citations : Evidence from the Belgian Firm's Data," Other publications TiSEM d78bf59a-e0ff-4451-86b9-1, Tilburg University, School of Economics and Management.
    2. Joseph Plasmans & Ruslan Lukach, 2010. "The Patterns of Inter-firm and Inter-industry Knowledge Flows in the Netherlands," CESifo Working Paper Series 3057, CESifo.
    3. Ruslan Lukach & Joseph Plasmans, 2002. "Measuring Knowledge Spillovers Using Patent Citations: Evidence from the Belgian Firm's Data," CESifo Working Paper Series 754, CESifo.
    4. Lukach, R. & Plasmans, J.E.J., 2002. "Measuring Knowledge Spillovers in the New Economy Firms in Belgium Using Patent Citations," Other publications TiSEM c1a4f988-f95e-41fd-9e1d-e, Tilburg University, School of Economics and Management.

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    More about this item

    Keywords

    Innovation; R&D; spillovers; cooperation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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