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Applying relational algebra and RelView to measures in a social network

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Author Info

  • 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)

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    Abstract

    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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    Bibliographic Info

    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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    Web page: http://hal.archives-ouvertes.fr/

    Related research

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

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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, 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.
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    Cited by:
    1. 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.
    2. 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.

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