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Identifying stable network structures and sets of key players using a W-covering perspective

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  • Janssen, R.H.P.
  • Monsuur, H.

Abstract

In evaluating and benchmarking positions of nodes within networks, several network statistics can be considered. A new benchmark is introduced that can be used to investigate whether or not a node is outperformed by another node regarding the connections to some fixed set W of nodes. Networks where these subdued positions do not exist are called W-stable. In this paper special attention is paid to minimal W-stable (random) networks, where W is the set of nodes having a degree crossing some fixed number. The notion of W-covering also makes possible to disclose an alternative definition and role of key players in social networks.

Suggested Citation

  • Janssen, R.H.P. & Monsuur, H., 2013. "Identifying stable network structures and sets of key players using a W-covering perspective," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 245-253.
    • Handle: RePEc:eee:matsoc:v:66:y:2013:i:3:p:245-253
    DOI: 10.1016/j.mathsocsci.2013.05.005
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    References listed on IDEAS

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    1. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks," Introductory Chapters, in: Connections: An Introduction to the Economics of Networks, Princeton University Press.
    2. Janssen, R.H.P. & Monsuur, H., 2012. "Stable network topologies using the notion of covering," European Journal of Operational Research, Elsevier, vol. 218(3), pages 755-763.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Adrian van Deemen & Agnieszka Rusinowska, 2010. "Collective Decision Making: Views from Social Choice and Game Theory," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00514840, HAL.
    5. Herman Monsuur & Ton Storcken, 2004. "Centers in Connected Undirected Graphs: An Axiomatic Approach," Operations Research, INFORMS, vol. 52(1), pages 54-64, February.
    6. Adrian Van Deemen & Agnieszka Rusinowska (ed.), 2010. "Collective Decision Making," Theory and Decision Library C, Springer, number 978-3-642-02865-6, December.
    7. Monsuur, Herman, 2007. "Stable and emergent network topologies: A structural approach," European Journal of Operational Research, Elsevier, vol. 183(1), pages 432-441, November.
    8. Stephen P. Borgatti, 2006. "Identifying sets of key players in a social network," Computational and Mathematical Organization Theory, Springer, vol. 12(1), pages 21-34, April.
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