IDEAS home Printed from https://ideas.repec.org/p/bie/wpaper/467.html
   My bibliography  Save this paper

The evolution of R&D networks

Author

Listed:
  • Dawid, Herbert

    (Center for Mathematical Economics, Bielefeld University)

  • Hellmann, Tim

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We study the evolution of R&D networks in a Cournot model where firms may lower marginal costs due to bilateral R&D collaborations. Stochastically stable R&D networks exhibit the dominant group architecture, and, contrary to the existing literature, generically unique predictions about the size of the dominant group can be obtained. This size decreases monotonically with respect to the cost of link formation and there exists a lower bound on the size of the dominant group for non-empty networks. Stochastically stable networks are always inefficient and an increase in linking costs has a non-monotone effect onaverage industry profits.

Suggested Citation

  • Dawid, Herbert & Hellmann, Tim, 2014. "The evolution of R&D networks," Center for Mathematical Economics Working Papers 467, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:467
    as

    Download full text from publisher

    File URL: https://pub.uni-bielefeld.de/download/2672457/2672458
    File Function: First Version, 2013
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Tim Hellmann, 2013. "On the existence and uniqueness of pairwise stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 211-237, February.
    2. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    3. Roijakkers, Nadine & Hagedoorn, John, 2006. "Inter-firm R&D partnering in pharmaceutical biotechnology since 1975: Trends, patterns, and networks," Research Policy, Elsevier, vol. 35(3), pages 431-446, April.
    4. 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.
    5. Joel A. C. Baum & Robin Cowan & Nicolas Jonard, 2010. "Network-Independent Partner Selection and the Evolution of Innovation Networks," Management Science, INFORMS, vol. 56(11), pages 2094-2110, November.
    6. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," Review of Economic Studies, Oxford University Press, vol. 27(2), pages 133-134.
    7. Dawid, Herbert & MacLeod, W. Bentley, 2008. "Hold-up and the evolution of investment and bargaining norms," Games and Economic Behavior, Elsevier, vol. 62(1), pages 26-52, January.
    8. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    9. Hagedoorn, John, 2002. "Inter-firm R&D partnerships: an overview of major trends and patterns since 1960," Research Policy, Elsevier, vol. 31(4), pages 477-492, May.
    10. Berno Buechel & Tim Hellmann, 2012. "Under-connected and over-connected networks: the role of externalities in strategic network formation," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 71-87, March.
    11. Bastian Westbrock, 2010. "Natural concentration in industrial research collaboration," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 351-371, June.
    12. 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.
    13. Billand, P. & Bravard, C., 2004. "Non-cooperative networks in oligopolies," International Journal of Industrial Organization, Elsevier, vol. 22(5), pages 593-609, May.
    14. König, Michael D. & Battiston, S. & Napoletano, M. & Schweitzer, F., 2011. "Recombinant knowledge and the evolution of innovation networks," Journal of Economic Behavior & Organization, Elsevier, vol. 79(3), pages 145-164, August.
    15. Francis Bloch & Matthew Jackson, 2006. "Definitions of equilibrium in network formation games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 305-318, October.
    16. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    17. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    18. Dawid, Herbert, 1999. "On the stability of monotone discrete selection dynamics with inertia," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 265-280, May.
    19. König, Michael D. & Battiston, Stefano & Napoletano, Mauro & Schweitzer, Frank, 2012. "The efficiency and stability of R&D networks," Games and Economic Behavior, Elsevier, vol. 75(2), pages 694-713.
    20. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mauro Caminati, 2016. "Knowledge specialization and R&D collaboration," Journal of Evolutionary Economics, Springer, vol. 26(2), pages 247-270, May.
    2. Dawid, Herbert & Hellmann, Tim, 2020. "R&D investments under endogenous cluster formation," Journal of Economic Behavior & Organization, Elsevier, vol. 174(C), pages 253-283.
    3. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    4. Dawid, Herbert & Hellmann, Tim, 2016. "R&D Investments under Endogenous Cluster Formation," Center for Mathematical Economics Working Papers 555, Center for Mathematical Economics, Bielefeld University.
    5. César García-Díaz & Gábor Péli & Arjen van Witteloostuijn, 2020. "The coevolution of the firm and the product attribute space," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-25, June.
    6. Emmanuel Petrakis & Nikolas Tsakas, 2018. "The effect of entry on R&D networks," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 706-750, September.
    7. Hellmann, Tim & Landwehr, Jakob, 2018. "Pairwise stable networks in homogeneous societies," Center for Mathematical Economics Working Papers 517, Center for Mathematical Economics, Bielefeld University.
    8. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, Open Access Journal, vol. 9(2), pages 1-67, May.
    9. Sonja Brangewitz & Claus-Jochen Haake & Philipp Moehlmeier, 2015. "Strategic Formation of Customer Relationship Networks," Working Papers CIE 91, Paderborn University, CIE Center for International Economics.

    More about this item

    Keywords

    R&D Networks; Stochastic Stability; Oligopoly;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bie:wpaper:467. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Bettina Weingarten). General contact details of provider: http://edirc.repec.org/data/imbiede.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.