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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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    1. Aouchiche, M. & Bell, F.K. & Cvetkovic, D. & Hansen, P. & Rowlinson, P. & Simic, S.K. & Stevanovic, D., 2008. "Variable neighborhood search for extremal graphs. 16. Some conjectures related to the largest eigenvalue of a graph," European Journal of Operational Research, Elsevier, vol. 191(3), pages 661-676, December.
    2. Bruce Kogut & Udo Zander, 1992. "Knowledge of the Firm, Combinative Capabilities, and the Replication of Technology," Organization Science, INFORMS, vol. 3(3), pages 383-397, August.
    3. Antoni Calvó-Armengol & Rahmi İlkılıç, 2009. "Pairwise-stability and Nash equilibria in network formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 51-79, March.
    4. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, November.
    5. 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.
    6. Andrea Galeotti & Sanjeev Goyal, 2009. "Influencing the influencers: a theory of strategic diffusion," RAND Journal of Economics, RAND Corporation, vol. 40(3), pages 509-532, September.
    7. Giovanni Dosi, 2000. "Sources, Procedures, and Microeconomic Effects of Innovation," Chapters, in: Innovation, Organization and Economic Dynamics, chapter 2, pages 63-114, Edward Elgar Publishing.
    8. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, November.
    9. 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.
    10. Veugelers, Reinhilde, 1997. "Internal R & D expenditures and external technology sourcing," Research Policy, Elsevier, vol. 26(3), pages 303-315, October.
    11. Carayol, Nicolas & Roux, Pascale, 2009. "Knowledge flows and the geography of networks: A strategic model of small world formation," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 414-427, August.
    12. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    13. Cohen, Wesley M & Levinthal, Daniel A, 1989. "Innovation and Learning: The Two Faces of R&D," Economic Journal, Royal Economic Society, vol. 99(397), pages 569-596, September.
    14. 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.
    15. Adam Copeland & Dennis Fixler, 2012. "Measuring The Price Of Research And Development Output," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 58(1), pages 166-182, March.
    16. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    17. Goyal, Sanjeev & Joshi, Sumit, 2004. "Erratum to "Networks of collaboration in oligopoly": [Games Econ. Behav. 43 (1) (2003) 57-85]," Games and Economic Behavior, Elsevier, vol. 46(1), pages 219-219, January.
    18. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    19. Martin L. Weitzman, 1998. "Recombinant Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(2), pages 331-360.
    20. Hansen, Pierre & Mladenovic, Nenad & Moreno Pérez, Jos´e A., 2008. "Variable neighborhood search," European Journal of Operational Research, Elsevier, vol. 191(3), pages 593-595, December.
    21. 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.
    22. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    23. Spence, Michael, 1984. "Cost Reduction, Competition, and Industry Performance," Econometrica, Econometric Society, vol. 52(1), pages 101-121, January.
    24. Dotan Persitz, 2009. "Power in the Heterogeneous Connections Model: The Emergence of Core-Periphery Networks," Working Papers 2009.42, Fondazione Eni Enrico Mattei.
    25. Bastian Westbrock, 2010. "Natural concentration in industrial research collaboration," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 351-371, June.
    26. 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.
    27. Deroian, F., 2008. "Dissemination of spillovers in cost-reducing alliances," Research in Economics, Elsevier, vol. 62(1), pages 34-44, March.
    28. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    29. Bramoulle, Yann, 2007. "Anti-coordination and social interactions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 30-49, January.
    30. DiMasi, Joseph A. & Hansen, Ronald W. & Grabowski, Henry G., 2003. "The price of innovation: new estimates of drug development costs," Journal of Health Economics, Elsevier, vol. 22(2), pages 151-185, March.
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    Keywords

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    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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