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Applying relational algebra and RelView to measures in a social network

  • Rudolf Berghammer

    ()

    (Institut für Informatik - Universitat Kiel)

  • Agnieszka Rusinowska

    ()

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

  • Harrie De Swart

    ()

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

We present an application of relation algebra to measure agents' 'strength' in a social network with influence between agents. In particular, we deal with power, success, and influence of an agent as measured by the generalized Hoede-Bakker index and its 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 BDD-based 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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File URL: http://hal.archives-ouvertes.fr/docs/00/51/58/78/PDF/Networks-EJOR-04May2009.pdf
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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number hal-00515878.

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Date of creation: 01 Apr 2010
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Publication status: Published, European Journal of Operational Research, 2010, 202, 1, 182-195
Handle: RePEc:hal:cesptp:hal-00515878
Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00515878
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  1. 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.
  2. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "An Interdisciplinary Approach to Coalition Formation," Post-Print halshs-00406460, HAL.
  3. 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.
  4. 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.
  5. Harrie De Swart & Agnieszka Rusinowska, 2007. "On some properties of the Hoede-Bakker index," Post-Print halshs-00201414, HAL.
  6. Laruelle, Annick & Widgren, Mika, 1996. "Is the Allocation of Voting Power among the EU States Fair?," Discussion Papers 556, The Research Institute of the Finnish Economy.
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