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Government versus opposition. Who should be who in the 16th German Bundestag?

Author

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  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

  • Haake, Claus-Jochen

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We model the process of coalition formation in the 16th German Bundestag as a hedonic coalition formation game. In order to induce players' preferences in the game we apply the Shapley value of the simple game describing all winning coalitions in the Bundestag. Using different stability notions for hedonic games we prove that the "most" stable government is formed by the Union Parties together with the Social Democratic Party.

Suggested Citation

  • Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "Government versus opposition. Who should be who in the 16th German Bundestag?," Center for Mathematical Economics Working Papers 375, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:375
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    File URL: https://pub.uni-bielefeld.de/download/2315485/2319800
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    References listed on IDEAS

    as
    1. Georg Kirchsteiger & Clemens Puppe, 1997. "On the Formation of Political Coalitions," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 153(2), pages 293-293, June.
    2. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    3. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    4. Dinko Dimitrov & Shao Chin Sung, 2006. "A Taxonomy of Myopic Stability Concepts for Hedonic Games," Working Papers 2006.10, Fondazione Eni Enrico Mattei.
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    Cited by:

    1. Dominik Karos, 2013. "Coalition Formation in General Apex Games," Economics Series Working Papers 680, University of Oxford, Department of Economics.
    2. Dinko Dimitrov & Claus-Jochen Haake, 2006. "Coalition Formation in Simple Games: The Semistrict Core," Working Papers 2006.72, Fondazione Eni Enrico Mattei.
    3. repec:ebl:ecbull:v:4:y:2006:i:12:p:1-6 is not listed on IDEAS
    4. Dinko Dimitrov & Claus-Jochen Haake, 2008. "A note on the paradox of smaller coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(4), pages 571-579, May.
    5. Ciftci, B.B. & Dimitrov, D.A., 2006. "Stable Coalition Structures in Simple Games with Veto Control," Discussion Paper 2006-114, Tilburg University, Center for Economic Research.
    6. Karos, Dominik, 2014. "Coalition formation in general apex games under monotonic power indices," Games and Economic Behavior, Elsevier, vol. 87(C), pages 239-252.
    7. Dimitrov, Dinko & Haake, Claus-Jochen, 2008. "Stable governments and the semistrict core," Games and Economic Behavior, Elsevier, vol. 62(2), pages 460-475, March.
    8. Dominik Karos, 2013. "Bargaining and Power," Working Papers 2013.63, Fondazione Eni Enrico Mattei.
    9. Dominik Karos, 2012. "Coalition Formation in Generalized Apex Games," Working Papers 2012.38, Fondazione Eni Enrico Mattei.
    10. Dinko Dimitrov, 2006. "Top coalitions, common rankings, and semistrict core stability," Economics Bulletin, AccessEcon, vol. 4(12), pages 1-6.

    More about this item

    Keywords

    Coalition formation; Winning coalitions; Simple games; Shapley value;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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