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The Evolution of R&D Networks

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  • Herbert Dawid

    (Bielefeld University)

  • Tim Hellmann

    (Institute of Mathematical Economics, Bielefeld University)

Abstract

In this paper, we study a standard Cournot model where rms are able to form bilateral collaboration agreements which lower marginal cost. While a static analysis of such a model can be found in Goyal and Joshi [5], we introduce an evolutionary model. Stable networks (in the static sense) exhibit the dominant group architecture and can be characterized with respect to the size of the group. However, in contrast to Goyal and Joshi [5], we nd that the group size of connected rms in stochastically stable networks is generically unique and monotonically decreasing in cost of link formation. Further, there exists a lower bound on the group size of connected rms such that a non-empty network can be stochastically stable.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-467.pdf
File Function: First version, 2012
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Bibliographic Info

Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 467.

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Length: 18 pages
Date of creation: Jun 2012
Date of revision:
Handle: RePEc:bie:wpaper:467

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References

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  1. Jackson, Matthew O., 1998. "The Evolution of Social and Economic Networks," Working Papers 1044, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Bastian Westbrock, 2010. "Natural concentration in industrial research collaboration," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 351-371.
  3. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Baum, Joel & Cowan, Robin & Jonard, Nicolas, 2009. "Network-independent partner selection and the evolution of innovation networks," MERIT Working Papers 022, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
  5. 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.
  6. 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.
  7. Goyal, S. & Joshi, S., 2000. "Networks of Collaboration in Oligopoly," Econometric Institute Research Papers EI 9952-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  8. 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.
  9. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
  10. Sumit Joshi, 2000. "Networks of Collaboration in Oligopoly," Econometric Society World Congress 2000 Contributed Papers 0623, Econometric Society.
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Cited by:
  1. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.

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