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Applying Relation Algebra and RelView to Measures in aSocial Network

  • Rudolf Berghammer

    (Computer-Aided Program Development - Institute of Computer Science - Christian-Albrechts-Universität zu Kiel)

  • Agnieszka Rusinowska

    ()

    (GATE - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - Ecole Normale Supérieure Lettres et Sciences Humaines)

  • Harrie De Swart

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

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 tool's programming language. As an example we consider the present Dutch parliament.

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Paper provided by HAL in its series Post-Print with number halshs-00355699.

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Date of creation: 2009
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Handle: RePEc:hal:journl:halshs-00355699
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00355699/en/
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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. Agnieszka Rusinowska & Harrie de Swart & Jan-Willem van der Rijt, 2005. "A new model of coalition formation," Social Choice and Welfare, Springer, vol. 24(1), pages 129-154, 09.
  3. 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.
  4. Harrie De Swart & Agnieszka Rusinowska, 2007. "On some properties of the Hoede-Bakker index," Post-Print halshs-00201414, HAL.
  5. 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.
  6. Rudolf Berghammer & Harrie De Swart & Agnieszka Rusinowska, 2007. "Applying relational algebra and RelView to coalition formation," Post-Print halshs-00159845, HAL.
  7. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
  8. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00308741, HAL.
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