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Applying relational algebra and RelView to coalition formation

Author

Listed:
  • Rudolf Berghammer

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

  • Harrie de Swart

    (Faculteit Wijsbegeerte-Logica en taalanalyse - Tilburg University [Netherlands])

  • Agnieszka Rusinowska

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

Abstract

We present an application of relational algebra to coalition formation. This leads to specifications, which can be executed with the help of the RelView tool after a simple translation into the tool's programming language. As an example we consider a simplification of the situation in Poland after the 2001 elections.

Suggested Citation

  • Rudolf Berghammer & Harrie de Swart & Agnieszka Rusinowska, 2007. "Applying relational algebra and RelView to coalition formation," Post-Print halshs-00159845, HAL.
    • Handle: RePEc:hal:journl:halshs-00159845
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00159845
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    References listed on IDEAS

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    1. Roubens, Marc & Rusinowska, Agnieszka & de Swart, Harrie, 2006. "Using MACBETH to determine utilities of governments to parties in coalition formation," European Journal of Operational Research, Elsevier, vol. 172(2), pages 588-603, July.
    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.
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    Cited by:

    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. 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.
    3. Tangian, Andranik S., 2010. "Representativeness of German parties and trade unions with regard to public opinion," WSI Working Papers 173, The Institute of Economic and Social Research (WSI), Hans Böckler Foundation.
    4. 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.
    5. Andranik Tangian, 2013. "German parliamentary elections 2009 from the viewpoint of direct democracy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 833-869, March.
    6. Andranik Tangian, 2006. "Evaluation of Parties and Coalitions After Parliamentary Elections," Working Papers 2006.76, Fondazione Eni Enrico Mattei.
    7. Rudolf Berghammer & Agnieszka Rusinowska & Harrie de Swart, 2011. "Computations on Simple Games using RelView," Post-Print hal-00633857, HAL.
    8. Agnieszka Rusinowska & Harrie Swart, 2008. "Negotiating a Stable Government: An Application of Bargaining Theory to a Coalition Formation Model," Group Decision and Negotiation, Springer, vol. 17(5), pages 445-464, September.
    9. 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.
    10. 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.
    11. Agnieszka Rusinowska & Rudolf Berghammer & Harrie de Swart, 2006. "Applications of Relations and Graphs to Coalition Formation," Working Papers 2006.77, Fondazione Eni Enrico Mattei.
    12. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2010. "Applying relation algebra and RelView to measures in a social network," European Journal of Operational Research, Elsevier, vol. 202(1), pages 182-195, April.
    13. Tangian, Andranik S., 2010. "Decision making in politics and economics: 4. Bundestag elections 2009 and direct democracy," Working Paper Series in Economics 8, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    14. Jan-Willem Rijt, 2008. "An Alternative Model of the Formation of Political Coalitions," Theory and Decision, Springer, vol. 64(1), pages 81-101, February.
    15. Tangian, Andranik S., 2006. "German parliamentary elections 2005 in the mirror of party manifestos," WSI Working Papers 139E, The Institute of Economic and Social Research (WSI), Hans Böckler Foundation.
    16. repec:hal:wpaper:hal-00756696 is not listed on IDEAS
    17. Tangian, Andranik, 2010. "Evaluation of German parties and coalitions by methods of the mathematical theory of democracy," European Journal of Operational Research, Elsevier, vol. 202(1), pages 294-307, April.
    18. Tangian, Andranik S., 2013. "2013 election to German Bundestag from the viewpoint of direct democracy," WSI Working Papers 186, The Institute of Economic and Social Research (WSI), Hans Böckler Foundation.
    19. Tangian, Andranik S., 2013. "Decision making in politics and economics: 5. 2013 election to German Bundestag and direct democracy," Working Paper Series in Economics 49, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.

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