IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v105y2014icp158-172.html
   My bibliography  Save this article

The evolution of R&D networks

Author

Listed:
  • Dawid, Herbert
  • Hellmann, Tim

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 on average industry profits.

Suggested Citation

  • Dawid, Herbert & Hellmann, Tim, 2014. "The evolution of R&D networks," Journal of Economic Behavior & Organization, Elsevier, vol. 105(C), pages 158-172.
    • Handle: RePEc:eee:jeborg:v:105:y:2014:i:c:p:158-172
    DOI: 10.1016/j.jebo.2014.03.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167268114000730
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jebo.2014.03.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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. 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.
    6. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    7. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 133-134.
    8. 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.
    9. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    10. 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.
    11. 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.
    12. Billand, P. & Bravard, C., 2004. "Non-cooperative networks in oligopolies," International Journal of Industrial Organization, Elsevier, vol. 22(5), pages 593-609, May.
    13. Dawid, Herbert, 1999. "On the stability of monotone discrete selection dynamics with inertia," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 265-280, May.
    14. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    15. 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.
    16. Bastian Westbrock, 2010. "Natural concentration in industrial research collaboration," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 351-371, June.
    17. 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.
    18. 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.
    19. 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.
    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, 2021. "Knowledge distance and R&D collaboration in Cournot oligopoly," Metroeconomica, Wiley Blackwell, vol. 72(1), pages 57-81, February.
    2. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    3. Mauleon, Ana & Sempere-Monerris, Jose J. & Vannetelbosch, Vincent, 2023. "R&D network formation with myopic and farsighted firms," Journal of Economic Behavior & Organization, Elsevier, vol. 208(C), pages 203-229.
    4. 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.
    5. Chen, Shangrong & Bravo-Melgarejo, Sai & Mongeau, Romain & Malavolti, Estelle, 2023. "Adopting and diffusing hydrogen technology in air transport: An evolutionary game theory approach," Energy Economics, Elsevier, vol. 125(C).
    6. Malcolm Brady, 2021. "A Game-Theoretic Model of Strategic Interaction Using Advertising: Simulating the Evolution of the Cournot Nash Equilibrium under Different Competitive Scenarios," Games, MDPI, vol. 12(4), pages 1-16, November.
    7. Ivan Savin, 2021. "On optimal regimes of knowledge exchange: a model of recombinant growth and firm networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(3), pages 497-527, July.
    8. Hellmann, Tim & Landwehr, Jakob, 2014. "Stable Networks in Homogeneous Societies," Center for Mathematical Economics Working Papers 517, Center for Mathematical Economics, Bielefeld University.
    9. Savin, Ivan & Egbetokun, Abiodun, 2016. "Emergence of innovation networks from R&D cooperation with endogenous absorptive capacity," Journal of Economic Dynamics and Control, Elsevier, vol. 64(C), pages 82-103.
    10. Gergely Horvath & Mofei Jia, 2024. "The impact of social status on the formation of collaborative ties and effort provision: An experimental study," Papers 2403.05830, arXiv.org.
    11. Péter Bayer & Ani Guerdjikova, 2020. "Optimism leads to optimality: Ambiguity in network formation," Working Papers hal-03005107, HAL.
    12. 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.
    13. 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.
    14. Dawid, Herbert & Hellmann, Tim, 2020. "R&D investments under endogenous cluster formation," Journal of Economic Behavior & Organization, Elsevier, vol. 174(C), pages 253-283.
    15. Qiang Gong & Huanxing Yang, 2020. "Collaborative Networks in Oligopoly with Asymmetric Firms," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 56(2), pages 357-380, March.
    16. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    17. 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.
    18. Lorenzo Zirulia, 2023. "Path dependence in evolving R&D networks," Journal of Evolutionary Economics, Springer, vol. 33(1), pages 149-177, January.
    19. König, Michael D. & Rogers, Tim, 2023. "Endogenous technology cycles in dynamic R&D networks," European Economic Review, Elsevier, vol. 158(C).
    20. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    2. 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.
    3. 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.
    4. Michael D. König & Xiaodong Liu & Yves Zenou, 2019. "R&D Networks: Theory, Empirics, and Policy Implications," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 476-491, July.
    5. Mauro Caminati, 2012. "Self sustaining R&D networks," Department of Economics University of Siena 653, Department of Economics, University of Siena.
    6. , David, 2016. "The formation of networks with local spillovers and limited observability," Theoretical Economics, Econometric Society, vol. 11(3), September.
    7. Hellmann, Tim & Landwehr, Jakob, 2014. "Stable Networks in Homogeneous Societies," Center for Mathematical Economics Working Papers 517, Center for Mathematical Economics, Bielefeld University.
    8. Chih-Sheng Hsieh & Michael D. König & Xiaodong Liu, 2012. "Network formation with local complements and global substitutes: the case of R&D networks," ECON - Working Papers 217, Department of Economics - University of Zurich, revised Feb 2017.
    9. Mario V. Tomasello & Mauro Napoletano & Antonios Garas & Frank Schweitzer, 2017. "The rise and fall of R&D networks," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 26(4), pages 617-646.
    10. Péter Bayer & Ani Guerdjikova, 2020. "Optimism leads to optimality: Ambiguity in network formation," Working Papers hal-03005107, HAL.
    11. Dawid, Herbert & Hellmann, Tim, 2020. "R&D investments under endogenous cluster formation," Journal of Economic Behavior & Organization, Elsevier, vol. 174(C), pages 253-283.
    12. Mauro Napoletano & Stefano Battiston & Michael D König & Frank Schweitzer, 2008. "The efficiency and evolution of R&D Networks," Working Papers hal-01066189, HAL.
    13. repec:hal:wpspec:info:hdl:2441/f6h8764enu2lskk9p5487a6cm is not listed on IDEAS
    14. Lorenzo Zirulia, 2023. "Path dependence in evolving R&D networks," Journal of Evolutionary Economics, Springer, vol. 33(1), pages 149-177, January.
    15. repec:spo:wpmain:info:hdl:2441/9933 is not listed on IDEAS
    16. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    17. repec:hal:wpspec:info:hdl:2441/9935 is not listed on IDEAS
    18. repec:spo:wpecon:info:hdl:2441/9935 is not listed on IDEAS
    19. Lorenzo Zirulia, 2012. "The role of spillovers in R&D network formation," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 21(1), pages 83-105, November.
    20. Billand, Pascal & Bravard, Christophe & Durieu, Jacques & Sarangi, Sudipta, 2015. "Efficient networks for a class of games with global spillovers," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 203-210.
    21. repec:hal:wpspec:info:hdl:2441/7346 is not listed on IDEAS
    22. repec:spo:wpecon:info:hdl:2441/f6h8764enu2lskk9p5487a6cm is not listed on IDEAS
    23. repec:spo:wpmain:info:hdl:2441/9935 is not listed on IDEAS
    24. repec:hal:spmain:info:hdl:2441/9933 is not listed on IDEAS
    25. Mauleon, Ana & Sempere-Monerris, Jose J. & Vannetelbosch, Vincent, 2023. "R&D network formation with myopic and farsighted firms," Journal of Economic Behavior & Organization, Elsevier, vol. 208(C), pages 203-229.
    26. repec:hal:spmain:info:hdl:2441/9935 is not listed on IDEAS
    27. , D. & Tessone, Claudio J. & ,, 2014. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society, vol. 9(3), September.
    28. repec:spo:wpmain:info:hdl:2441/f6h8764enu2lskk9p5487a6cm is not listed on IDEAS
    29. König, Michael D. & Rogers, Tim, 2023. "Endogenous technology cycles in dynamic R&D networks," European Economic Review, Elsevier, vol. 158(C).
    30. Deroian, F., 2008. "Dissemination of spillovers in cost-reducing alliances," Research in Economics, Elsevier, vol. 62(1), pages 34-44, March.

    More about this item

    Keywords

    R&D networks; Oligopoly; Stochastic stability;
    All these keywords.

    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

    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:eee:jeborg:v:105:y:2014:i:c:p:158-172. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jebo .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.