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Social networks: Prestige, centrality, and influence (Invited paper)

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Author Info

  • Agnieszka Rusinowska

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

  • Rudolf Berghammer

    ()
    (Institut für Informatik - Universitat Kiel)

  • Harrie De Swart

    ()
    (Faculteit Wijsbegeerte-Logica en taalanalyse - Universiteit van Tilburg)

  • Michel Grabisch

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

Abstract

We deliver a short overview of di erent centrality measures and influence concepts in social networks, and present the relation-algebraic approach to the concepts of power and influence. First, we briefly discuss four kinds of measures of centrality: the ones based on degree, closeness, betweenness, and the eigenvector-related measures. We consider centrality of a node and of a network. Moreover, we give a classi cation of the centrality measures based on a topology of network flows. Furthermore, we present a certain model of influence in a social network and discuss some applications of relation algebra and RelView to this model.

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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number hal-00633859.

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Date of creation: 2011
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Publication status: Published, RAMICS 2011, Springer (Ed.), 2011, 22-39
Handle: RePEc:hal:cesptp:hal-00633859

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00633859
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Related research

Keywords: social network ; centrality ; prestige ; influence ; relation algebra ; RelView;

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References

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  1. Rudolf Berghammer & Stefan Bolus & Agnieszka Rusinowska & Harrie De Swart, 2011. "A relation-algebraic approach to simple games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers), HAL hal-00574767, HAL.
  2. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, Springer, vol. 18(1), pages 39-43, March.
  3. Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2005. "Who’s Who in Networks. Wanted: The Key Player," CEPR Discussion Papers, C.E.P.R. Discussion Papers 5329, C.E.P.R. Discussion Papers.
  4. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Documents de travail du Centre d'Economie de la Sorbonne, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne b08066, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  5. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "An Interdisciplinary Approach to Coalition Formation," Post-Print, HAL halshs-00406460, HAL.
  6. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2010. "Applying relational algebra and RelView to measures in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers), HAL hal-00515878, HAL.
  7. Michel Grabisch & Agnieszka Rusinowska, 2008. "Measuring influence in command games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers), HAL halshs-00269084, HAL.
  8. Michel Grabisch & Agnieszka Rusinowska, 2010. "Iterating influence between players in a social network," Documents de travail du Centre d'Economie de la Sorbonne, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne 10089, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  9. René van den Brink, 2002. "The apex power measure for directed networks," Social Choice and Welfare, Springer, Springer, vol. 19(4), pages 845-867.
  10. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, Springer, vol. 69(4), pages 635-656, October.
  11. René Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2008. "Characterizations of the β- and the Degree Network Power Measure," Theory and Decision, Springer, Springer, vol. 64(4), pages 519-536, June.
  12. Michel Grabisch & Agnieszka Rusinowska, 2009. "A model of influence with a continuum of actions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers), HAL halshs-00464460, HAL.
  13. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2007. "Applying relational algebra and RelView to coalition formation," European Journal of Operational Research, Elsevier, Elsevier, vol. 178(2), pages 530-542, April.
  14. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks
    [Connections: An Introduction to the Economics of Networks]
    ," Introductory Chapters, Princeton University Press, Princeton University Press.
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