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The efficiency and stability of R&D networks

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  • König, Michael D.
  • Battiston, Stefano
  • Napoletano, Mauro
  • Schweitzer, Frank

Abstract

We investigate the efficiency and stability of R&D networks in a model with network-dependent indirect spillovers. We show that the efficient network structure critically depends on the marginal cost of R&D collaborations. When the marginal cost is low, the complete graph is efficient, while high marginal costs imply that the efficient network is asymmetric and has a nested structure. Regarding the stability of network structures, we show the existence of both symmetric and asymmetric equilibria. The efficient network is stable for small industry size and small cost. In contrast, for large industry size, there is a wide region of cost in which the efficient network is not stable. This implies a divergence between efficiency and stability in large industries.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:gamebe:v:75:y:2012:i:2:p:694-713 DOI: 10.1016/j.geb.2011.12.007
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    Citations

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    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. Gualdi, Stanislao & Mandel, Antoine, 2016. "On the emergence of scale-free production networks," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 61-77.
    3. König, Michael & Liu, Xiaodong & Zenou, Yves, 2014. "R&D Networks: Theory, Empirics and Policy Implications," CEPR Discussion Papers 9872, C.E.P.R. Discussion Papers.
    4. Belhaj, Mohamed & Bervoets, Sebatian & Deroïan, Frédéric, 2016. "Efficient networks in games with local complementarities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    5. 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.
    6. Dawid, Herbert & Hellmann, Tim, 2017. "R&D Investments under Endogenous Cluster Formation," Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168233, Verein für Socialpolitik / German Economic Association.
    7. 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, vol. 26(4), pages 617-646.
    8. Vitali, Stefania & Battiston, Stefano & Gallegati, Mauro, 2016. "Financial fragility and distress propagation in a network of regions," Journal of Economic Dynamics and Control, Elsevier, vol. 62(C), pages 56-75.
    9. Stanislao Gualdi & Antoine Mandel, 2015. "On the emergence of scale-free production networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01179134, HAL.
    10. König, Michael David, 2016. "The formation of networks with local spillovers and limited observability," Theoretical Economics, Econometric Society, vol. 11(3), September.
    11. 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.
    12. repec:zur:econwp:142 is not listed on IDEAS
    13. Emmanuel Petrakis & Nikolas Tsakas, 2016. "The effect of entry on R&D networks," University of Cyprus Working Papers in Economics 08-2016, University of Cyprus Department of Economics.
    14. Stuart McDonald & Mohamad Alghamdi & Bernard Pailthorpe, 2012. "The Emergence of a Small World in a Network of Research Joint Ventures," Discussion Papers Series 469, School of Economics, University of Queensland, Australia.
    15. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.
    16. Dawid, Herbert & Hellmann, Tim, 2014. "The evolution of R&D networks," Center for Mathematical Economics Working Papers 467, Center for Mathematical Economics, Bielefeld University.
    17. Mohamed Belhaj & Sebastian Bervoets & Frédéric Deroïan, 2013. "Network Design under Local Complementarities," Working Papers halshs-00796487, HAL.

    More about this item

    Keywords

    R&D networks; Knowledge recombination; Indirect spillovers; Network efficiency; Network formation;

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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