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Structural holes in social networks: A remark

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  • Houy, Nicolas

Abstract

In a recent article, [S. Goyal, F. Vega-Redondo, Structural holes in social networks, J. Econ. Theory 137 (1) (2007) 460-492] the authors (GVR) showed the importance of stars and cycles in a given network formation game. Implicitly, in their article, a network is called an equilibrium if it is generated by an equilibrium strategy. We extend the results of GVR to the case of a stronger requirement: namely, that a network can be called an equilibrium only if all the strategies generating it are equilibria. We also show, in a dynamic framework, that both definitions differ in crucial ways.

Suggested Citation

  • Houy, Nicolas, 2009. "Structural holes in social networks: A remark," Journal of Economic Theory, Elsevier, vol. 144(1), pages 422-431, January.
    • Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:422-431
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    References listed on IDEAS

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    1. Kalai, Ehud & Pazner, Elisha A & Schmeidler, David, 1976. "Collective Choice Correspondences as Admissible Outcomes of Social Bargaining Processes," Econometrica, Econometric Society, vol. 44(2), pages 233-240, March.
    2. Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
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    1. in 't Veld, Daan & van der Leij, Marco & Hommes, Cars, 2020. "The formation of a core-periphery structure in heterogeneous financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 119(C).
    2. in 't Veld, Daan & van der Leij, Marco & Hommes, Cars, 2020. "The formation of a core-periphery structure in heterogeneous financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 119(C).

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