The Evolution of R&D Networks

18 Pages Posted: 22 Feb 2013

See all articles by Herbert Dawid

Herbert Dawid

Bielefeld University - Department of Business Administration and Economics; Center for Mathematical Economics

Tim Hellmann

University of Southampton; affiliation not provided to SSRN

Multiple version iconThere are 2 versions of this paper

Date Written: June 1, 2012

Abstract

In this paper, we study a standard Cournot model where firms are able to form bilateral collaboration agreements which lower marginal cost. While a static analysis of such a can be found in Goyal and Joshi, 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, we find that the group size of connected firms 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 firms such that a non-empty network can be stochastically stable.

Keywords: R&D Networks, Oligopoly, Stochastic Stability

JEL Classification: C72, C73, L13, O30

Suggested Citation

Dawid, Herbert and Hellmann, Tim, The Evolution of R&D Networks (June 1, 2012). Institute of Mathematical Economics Working Paper No. 467, Available at SSRN: https://ssrn.com/abstract=2222003 or http://dx.doi.org/10.2139/ssrn.2222003

Herbert Dawid (Contact Author)

Bielefeld University - Department of Business Administration and Economics ( email )

P.O. Box 100131
D-33501 Bielefeld, NRW 33501
Germany
+49-521-1064843 (Phone)
+49-521-1062994 (Fax)

Center for Mathematical Economics ( email )

Postfach 10 01 31
Bielefeld, D-33501
Germany

Tim Hellmann

University of Southampton ( email )

Highfield
1
Southampton, Hampshire SO17 1BJ
United Kingdom

HOME PAGE: http://https://sites.google.com/view/thellmann

affiliation not provided to SSRN

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