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R&D Networks with Heterogenous Firms

Author

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  • Lorenzo Zirulia

    (CESPRI, Università Bocconi, Milano)

Abstract

This paper models the formation of R&D networks in an industry where firms are technologically heterogenous, extending previous work by Goyal and Moraga (2001). While remaining competitors in the market side, firms share their R&D efforts on a pairwise base, to an extent that depends on their technological capabilities. First, we consider a four firms’ industry. In the class of symmetric networks, the complete network is the only pairwise stable network, although not necessarily profit or social welfare maximizing. Then, we extend the analysis to asymmetric structures in a three firms’ industry. Only the complete and the partially connected networks are possibly stable, but which network is stable depends on the level of heterogeneity and technological opportunities. The complete and partially connected networks are also the possible welfare and aggregate profit maximizing networks, but social and private incentives do not generally coincide. Finally, we consider the notion of strongly stable networks, where all the possible deviations by coalitions of agents are allowed. It turns out that in the four firms’ case, the complete network is very rarely strongly stable, while in the three firms’ case the partially connected network where two firms in different technological group are linked is, for a large subset of the parameter space, the only strongly stable network.

Suggested Citation

  • Lorenzo Zirulia, 2005. "R&D Networks with Heterogenous Firms," KITeS Working Papers 167, KITeS, Centre for Knowledge, Internationalization and Technology Studies, Universita' Bocconi, Milano, Italy, revised May 2005.
  • Handle: RePEc:cri:cespri:wp167
    as

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    File URL: ftp://ftp.unibocconi.it/pub/RePEc/cri/papers/WP167Zirulia.pdf
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    References listed on IDEAS

    as
    1. Mariti, P & Smiley, R H, 1983. "Co-Operative Agreements and the Organization of Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 31(4), pages 437-451, June.
    2. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October.
      • Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
    3. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    4. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    5. 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.
    6. Goyal, Sanjeev & Moraga-Gonzalez, Jose Luis, 2001. "R&D Networks," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 686-707, Winter.
    7. 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.
    8. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    9. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    10. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
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    More about this item

    Keywords

    Strategic alliances; Networks; Research and development; Technological complementarities;

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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