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Applying Relation Algebra and RelView to Measures in aSocial Network

Author

Listed:
  • Rudolf Berghammer

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

  • Agnieszka Rusinowska

    () (GATE - Groupe d'analyse et de théorie économique - UL2 - Université Lumière - Lyon 2 - Ecole Normale Supérieure Lettres et Sciences Humaines - CNRS - Centre National de la Recherche Scientifique)

  • Harrie De Swart

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

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

Suggested Citation

  • Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "Applying Relation Algebra and RelView to Measures in aSocial Network," Post-Print halshs-00355699, HAL.
  • Handle: RePEc:hal:journl:halshs-00355699 Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00355699
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    References listed on IDEAS

    as
    1. 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.
    2. Agnieszka Rusinowska & Harrie de Swart & Jan-Willem van der Rijt, 2005. "A new model of coalition formation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 129-154, September.
    3. 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.
    4. Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
    5. Laruelle, Annick & Widgren, Mika, 1998. "Is the Allocation of Voting Power among EU States Fair?," Public Choice, Springer, vol. 94(3-4), pages 317-339, March.
    6. Algaba, E. & Bilbao, J.M. & Fernandez, J.R., 2007. "The distribution of power in the European Constitution," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1752-1766, February.
    7. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    8. Crama, Yves & Leruth, Luc, 2007. "Control and voting power in corporate networks: Concepts and computational aspects," European Journal of Operational Research, Elsevier, vol. 178(3), pages 879-893, May.
    9. Alonso-Meijide, J.M. & Casas-Mendez, B. & Holler, M.J. & Lorenzo-Freire, S., 2008. "Computing power indices: Multilinear extensions and new characterizations," European Journal of Operational Research, Elsevier, vol. 188(2), pages 540-554, July.
    10. Harrie De Swart & Agnieszka Rusinowska, 2007. "On some properties of the Hoede-Bakker index," Post-Print halshs-00201414, HAL.
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    Citations

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    Cited by:

    1. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2013. "Computing tournament solutions using relation algebra and RelView," European Journal of Operational Research, Elsevier, vol. 226(3), pages 636-645.
    2. 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.
    3. repec:eee:reensy:v:109:y:2013:i:c:p:99-109 is not listed on IDEAS
    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.
    5. repec:hal:journl:hal-00633859 is not listed on IDEAS
    6. Rudolf Berghammer & Agnieszka Rusinowska & Harrie de Swart, 2009. "A Relation-algebraic Approach to Simple Games," Working Papers 0913, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.

    More about this item

    Keywords

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

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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