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Position-specific information in social networks: Are you connected?

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  • McBride, Michael

Abstract

Individuals in social networks often imperfectly monitor others' network relationships and have incomplete information about the value of forming new relationships. This paper introduces the Generalized Conjectural Equilibrium (GCE) concept for such settings and completely characterizes the set of GCE networks when players observe only local parts of the network. Incomplete information and imperfect monitoring generate different types of inefficiency. These inefficiencies increase in number and scope as network observation becomes more localized. These results suggest that actual social networks will be structured inefficiently in general.

Suggested Citation

  • McBride, Michael, 2008. "Position-specific information in social networks: Are you connected?," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 283-295, September.
  • Handle: RePEc:eee:matsoc:v:56:y:2008:i:2:p:283-295
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    1. Rubinstein Ariel & Wolinsky Asher, 1994. "Rationalizable Conjectural Equilibrium: Between Nash and Rationalizability," Games and Economic Behavior, Elsevier, vol. 6(2), pages 299-311, March.
    2. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    3. Gilli, Mario, 1999. "On Non-Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 27(2), pages 184-203, May.
    4. McBride, Michael, 2006. "Imperfect monitoring in communication networks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 97-119, January.
    5. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    6. McBride Michael, 2006. "Limited Observation in Mutual Consent Networks," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-29, August.
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    Citations

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    Cited by:

    1. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Strict Nash networks and partner heterogeneity," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 515-525, August.
    2. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2013. "Modeling resource flow asymmetries using condensation networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 537-549, September.
    3. Gilles, R.P. & Sarangi, S., 2003. "The Role of Trust in Costly Network Formation," Discussion Paper 2003-53, Tilburg University, Center for Economic Research.
    4. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Resources Flows Asymmetries in Strict Nash Networks with Partner Heterogeneity," Post-Print halshs-00574256, HAL.
    5. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
    6. Michael Caldara & Michael McBride, 2014. "An Experimental Study of Network Formation with Limited Observation," Working Papers 141501, University of California-Irvine, Department of Economics.
    7. Goeree, Jacob K. & Riedl, Arno & Ule, Aljaz, 2009. "In search of stars: Network formation among heterogeneous agents," Games and Economic Behavior, Elsevier, vol. 67(2), pages 445-466, November.
    8. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
    9. Hans Haller & Sudipta Sarangi, 2003. "Nash Networks with Heterogeneous Agents," Discussion Papers of DIW Berlin 337, DIW Berlin, German Institute for Economic Research.
    10. Gallo Edoardo, 2012. "Small World Networks with Segregation Patterns and Brokers," Review of Network Economics, De Gruyter, vol. 11(3), pages 1-46, September.

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