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

  • 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)

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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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
Date of revision:
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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  1. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2009. "An interdisciplinary approach to coalition formation," European Journal of Operational Research, Elsevier, vol. 195(2), pages 487-496, June.
  2. Rudolf Berghammer & Agnieszka Rusinowska & Harrie de Swart, 2009. "Applying Relation Algebra and RelView to Measures in a Social Network," Working Papers 0902, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
  3. René van den Brink, 2002. "The apex power measure for directed networks," Social Choice and Welfare, Springer, vol. 19(4), pages 845-867.
  4. Michel Grabisch & Agnieszka Rusinowska, 2010. "Iterating influence between players in a social network," Documents de travail du Centre d'Economie de la Sorbonne 10089, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  5. Michel Grabisch & Agnieszka Rusinowska, 2009. "A model of influence with a continuum of actions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00464460, HAL.
  6. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Documents de travail du Centre d'Economie de la Sorbonne b08066, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  7. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2007. "Applying relational algebra and RelView to coalition formation," European Journal of Operational Research, Elsevier, vol. 178(2), pages 530-542, April.
  8. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, vol. 69(4), pages 635-656, October.
  9. Michel Grabisch & Agnieszka Rusinowska, 2009. "Measuring influence in command games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445126, HAL.
  10. 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.
  11. Rudolf Berghammer & Harrie De Swart & Agnieszka Rusinowska, 2007. "Applying relational algebra and RelView to coalition formation," Post-Print halshs-00159845, HAL.
  12. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
  13. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "Applying Relation Algebra and RelView to Measures in aSocial Network," Post-Print halshs-00355699, HAL.
  14. Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005. "Who's Who in Networks. Wanted: the Key Player," NajEcon Working Paper Reviews 666156000000000586, www.najecon.org.
  15. Berghammer, Rudolf & Bolus, Stefan & Rusinowska, Agnieszka & de Swart, Harrie, 2011. "A relation-algebraic approach to simple games," European Journal of Operational Research, Elsevier, vol. 210(1), pages 68-80, April.
  16. René Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2008. "Characterizations of the β- and the Degree Network Power Measure," Theory and Decision, Springer, vol. 64(4), pages 519-536, June.
  17. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "An Interdisciplinary Approach to Coalition Formation," Post-Print halshs-00406460, HAL.
  18. Rudolf Berghammer & Harrie De Swart & Agnieszka Rusinowska, 2011. "A Relation-algebraic Approach to Simple Games," Post-Print halshs-00404398, HAL.
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