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A new model of coalition formation

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  • Agnieszka Rusinowska
  • Harrie de Swart
  • Jan-Willem van der Rijt

Abstract

In this paper, a new model of multidimensional coalition formation in politics is presented. The model provides an opportunity to analyze a number of different kinds of issues at the same time. A policy space consists of a finite number of independent sub-spaces (policy spaces on certain issues), which can be multidimensional. Any policy sub-space on a certain sub-issue can be either a Euclidean space or (in principle) any other type of set. So, it is possible to include issues which cannot be represented by a Euclidean space or a fixed sum. A government is defined as a pair consisting of a majority coalition and a policy supported by this coalition. The majority coalition may be not minimal winning. Each party is allowed to give one qualification to a policy on a certain issue and to a majority coalition: desirable of a certain degree, acceptable, or unacceptable. By representing party preferences the way we do, we can include both rent-seeking and idealistic motivations in one consistent model. We define the value of a policy/coalition/government to a party, and the notions of a feasible and stable policy/coalition/government. The model uses party preferences in order to predict government policy. Necessary and sufficient conditions for the existence and uniqueness of a stable government are investigated. Moreover, some alternative definitions of a ‘stable’ government are introduced, and relations between these definitions and the chosen definition of a stable government are established. Copyright Springer-Verlag 2005

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:24:y:2005:i:1:p:129-154
    DOI: 10.1007/s00355-003-0295-x
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    Citations

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    Cited by:

    1. Patrik Eklund & Agnieszka Rusinowska & Harrie Swart, 2008. "A consensus model of political decision-making," Annals of Operations Research, Springer, vol. 158(1), pages 5-20, February.
    2. 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.
    3. 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.
    4. 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.
    5. Andranik Tangian, 2006. "Evaluation of Parties and Coalitions After Parliamentary Elections," Working Papers 2006.76, Fondazione Eni Enrico Mattei.
    6. 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.
    7. Jan-Willem Rijt, 2008. "An Alternative Model of the Formation of Political Coalitions," Theory and Decision, Springer, vol. 64(1), pages 81-101, February.
    8. 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.
    9. 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.
    10. 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.
    11. Sgobbi, Alessandra & Carraro, Carlo, 2007. "Modelling Negotiated Decision Making: a Multilateral, Multiple Issues, Non-Cooperative Bargaining Model with Uncertainty," Economic Theory and Applications Working Papers 8224, Fondazione Eni Enrico Mattei (FEEM).
    12. 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.
    13. Dinko Dimitrov & Claus-Jochen Haake, 2006. "Government versus Opposition: Who Should be Who in the 16th German Bundestag?," Journal of Economics, Springer, vol. 89(2), pages 115-128, November.
    14. 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.
    15. Vito Fragnelli, 2009. "The Propensity to Disruption for Evaluating a Parliament," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 3(3), pages 243-253, October.
    16. 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.
    17. repec:hal:wpaper:hal-00756696 is not listed on IDEAS
    18. Tangian, Andranik, 2006. "Evaluation of Parties and Coalitions After Parliamentary Elections," Coalition Theory Network Working Papers 12165, Fondazione Eni Enrico Mattei (FEEM).
    19. 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.
    20. repec:hal:pseose:hal-00756696 is not listed on IDEAS

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