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A strategic analysis of network reliability

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Networks and Groups

Part of the book series: Studies in Economic Design ((DESI))

Abstract

We consider a non-cooperative model of information networks where communication is costly and not fully reliable. We examine the nature of Nash networks and efficient networks.

We find that if the society is large, and link formation costs are moderate, Nash networks as well as efficient networks will be ‘super-connected’, i.e. every link is redundant in the sense that the network remains connected even after the link is deleted. This contrasts with the properties of a deterministic model of information decay, where Nash networks typically involve unique paths between agents. We also find that if costs are very low or very high, or if links are highly reliable then there is virtually no conflict between efficiency and stability. However, for intermediate values of costs and link reliability, Nash networks may be underconnected relative to the social optimum.

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References

  • Baker, W., Iyer, A. (1992) Information networks and market behaviour. Journal of Mathematical Sociology 16 (4):305–332

    Article  Google Scholar 

  • Bala, V. (1996) Dynamics of Network Formation. mimeo. McGill University

    Google Scholar 

  • Bala, V., Goyal, S. (1998) Learning from neighbours. Review of Economic Studies 65: 595–621

    Article  Google Scholar 

  • Bala, V., Goyal, S. (2000) A non-cooperative model of network formation. Econometrica 68: 1181– 1229

    Article  Google Scholar 

  • Bollobas, B. (1978) An Introduction to Graph Theory. Springer, Berlin

    Google Scholar 

  • Boorman, S. (1975) A combinatorial optimization model for transmission of job information through contact networks. Bell Journal of of Economics 6(1): 216–249

    Article  Google Scholar 

  • Chwe, M. (1995) Strategic reliability of communication networks. mimeo, University of Chicago

    Google Scholar 

  • Coleman, J. (1966) Medical Innovation: A Diffusion Study. 2nd ed., Bobbs-Merrill, New York

    Google Scholar 

  • Dutta, B., van den Nouweland, A., Tijs, S. (1998) Link formation in cooperative situations. International Journal of Game Theory 27: 245–256

    Article  Google Scholar 

  • Dutta, B., Mutuswami, S. (1997) Stable Networks. Journal of Economic Theory 76: 322–344

    Article  Google Scholar 

  • Goyal, S. (1993) Sustainable Communication Networks. Tinbergen Institute, Erasmus University, Discussion Paper 93–250

    Google Scholar 

  • Granovetter, M. (1974) Getting a Job: A Study of Contacts and Careers. Harvard University Press, Cambridge, MA

    Google Scholar 

  • Halmos, P. (1974) Measure Theory. Springer, New York

    Google Scholar 

  • Jackson, M., Wolinsky, A. (1996) A Strategic Model of Economic and Social Networks. Journal of Economic Theory 71(1): 44–74

    Article  Google Scholar 

  • Rogers, E., Kincaid, D.L. (1981) Communication Networks: Toward a New Paradigm for Research. Free Press, New York

    Google Scholar 

  • Rogers, E., Shoemaker, F. (1971) The Communication of Innovations. 2nd ed., Free Press, New York

    Google Scholar 

  • Watts, A. (1997) A Dynamic Model of Networks. mimeo, Vanderbilt University

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Bala, V., Goyal, S. (2003). A strategic analysis of network reliability. In: Dutta, B., Jackson, M.O. (eds) Networks and Groups. Studies in Economic Design. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24790-6_14

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  • DOI: https://doi.org/10.1007/978-3-540-24790-6_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07719-7

  • Online ISBN: 978-3-540-24790-6

  • eBook Packages: Springer Book Archive

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