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R&D Networks with Heterogenous Firms

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Author Info
Lorenzo Zirulia (CESPRI, Università Bocconi, Milano)

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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.

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Publisher Info
Paper provided by CESPRI, Centre for Research on Innovation and Internationalisation, Universita' Bocconi, Milano, Italy in its series CESPRI Working Papers with number 167.

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Length: 38 pages
Date of creation: May 2005
Date of revision: May 2005
Handle: RePEc:cri:cespri:wp167

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Related research
Keywords: Strategic alliances Networks Research and development Technological complementarities

Find related papers by JEL classification:
D21 - Microeconomics - - Production and Organizations - - - Firm Behavior
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October. [Downloadable!] (restricted)
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  2. Suzumura, Kotaro, 1992. "Cooperative and Noncooperative R&D in an Oligopoly with Spillovers," American Economic Review, American Economic Association, vol. 82(5), pages 1307-20, December. [Downloadable!] (restricted)
  3. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February. [Downloadable!] (restricted)
  4. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April. [Downloadable!] (restricted)
  5. 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 1293-306, December. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
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  7. Mariti, P & Smiley, R H, 1983. "Co-Operative Agreements and the Organization of Industry," Journal of Industrial Economics, Blackwell Publishing, vol. 31(4), pages 437-51, June. [Downloadable!] (restricted)
  8. 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.
  9. 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. [Downloadable!] (restricted)
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  10. Goyal, Sanjeev & Moraga-Gonzalez, Jose Luis, 2001. "R&D Networks," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 686-707, Winter.
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  11. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn. [Downloadable!] (restricted)
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