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Applying relation algebra and RelView to measures in a social network

  • Berghammer, Rudolf
  • Rusinowska, Agnieszka
  • de Swart, Harrie

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://www.sciencedirect.com/science/article/B6VCT-4WBK79X-1/2/6f6dc8585f177d8672ac3c4a9152aa5f
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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 202 (2010)
Issue (Month): 1 (April)
Pages: 182-195

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Handle: RePEc:eee:ejores:v:202:y:2010:i:1:p:182-195
Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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  1. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "An Interdisciplinary Approach to Coalition Formation," Post-Print halshs-00406460, HAL.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Harrie De Swart & Agnieszka Rusinowska, 2007. "On some properties of the Hoede-Bakker index," Post-Print halshs-00201414, HAL.
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