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Applying Relation Algebra and RelView to Measures in a Social Network

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Author Info

  • Rudolf Berghammer

    ()
    (Institut fur Informatik Christian-Albrechts-Universitat Kiel, Germany)

  • Agnieszka Rusinowska

    ()
    (University of Lyon, Lyon, F-69003, France; CNRS, UMR 5824, GATE, Ecully, F-69130, France; ENS LSH, Lyon, F-69007, France ; Centre Leon Berard, Lyon, F-69003, France
    Department of Econometrics and Tinbergen Institute, Free University, The Netherlands)

  • Harrie de Swart

    ()
    (Department of Philosophy, Tilburg University, The Netherlands)

Abstract

We present an application of relation algebra to measure players strength in a social network with influence between players. In particular, we deal with power, success, and influence of a player as measured by the Hoede-Bakker index, its generalization and modifications, and by the influence indices. We also apply relation algebra to determine followers of a coalition and the kernel of an influence function. This leads to specifications, which can be executed with the help of the BDDbased tool RelView after a simple translation into the toolís programming language. As an example we consider the present Dutch parliament.

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File URL: ftp://ftp.gate.cnrs.fr/RePEc/2009/0902.pdf
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Bibliographic Info

Paper provided by Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure in its series Working Papers with number 0902.

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Length: 29 pages
Date of creation: 2009
Date of revision:
Handle: RePEc:gat:wpaper:0902

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Keywords: RelView; relation algebra; social network; the Hoede-Bakker index; influence index; follower; kernel;

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References

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  1. Laruelle, Annick & Widgrén, Mika, 1996. "Is the Allocation of Voting Power Among the EU States Fair?," CEPR Discussion Papers 1402, C.E.P.R. Discussion Papers.
  2. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," Theory and Decision, Springer, vol. 69(1), pages 69-96, July.
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Cited by:
  1. Rudolf Berghammer & Agnieszka Rusinowska & Harrie de Swart, 2011. "Computing Tournament Solutions using Relation Algebra and REL VIEW," Documents de travail du Centre d'Economie de la Sorbonne 11067, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. 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-00574767, HAL.
  3. Agnieszka Rusinowska & Rudolf Berghammer & Harrie De Swart & Michel Grabisch, 2011. "Social networks: Prestige, centrality, and influence (Invited paper)," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00633859, HAL.
  4. Berghammer, Rudolf & Bolus, Stefan, 2012. "On the use of binary decision diagrams for solving problems on simple games," European Journal of Operational Research, Elsevier, vol. 222(3), pages 529-541.

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