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

Author

Listed:
  • 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. Dimitrov, Dinko & Haake, Claus-Jochen, 2006. "Coalition Formation in Simple Games: The Semistrict Core," Coalition Theory Network Working Papers 12175, Fondazione Eni Enrico Mattei (FEEM).
    2. 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.
    3. Dinko Dimitrov & Shao Chin Sung, 2006. "A Taxonomy of Myopic Stability Concepts for Hedonic Games," Working Papers 2006.10, Fondazione Eni Enrico Mattei.
    4. 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.
    5. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    6. 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.
    7. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Dimitrov, Dinko & Haake, Claus-Jochen, 2006. "Coalition Formation in Simple Games: The Semistrict Core," Coalition Theory Network Working Papers 12175, Fondazione Eni Enrico Mattei (FEEM).
    2. 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.
    3. Dinko Dimitrov, 2006. "Top coalitions, common rankings, and semistrict core stability," Economics Bulletin, AccessEcon, vol. 4(12), pages 1-6.
    4. Karos, Dominik, 2014. "Coalition formation in general apex games under monotonic power indices," Games and Economic Behavior, Elsevier, vol. 87(C), pages 239-252.
    5. Ciftci, B.B. & Dimitrov, D.A., 2006. "Stable Coalition Structures in Simple Games with Veto Control," Other publications TiSEM fd2410e3-8e9d-4319-86fb-b, Tilburg University, School of Economics and Management.
    6. Dominik Karos, 2013. "Bargaining and Power," Working Papers 2013.63, Fondazione Eni Enrico Mattei.
    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. Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "Stable governments and the semistrict core," Center for Mathematical Economics Working Papers 378, Center for Mathematical Economics, Bielefeld University.
    9. Dominik Karos, 2013. "Coalition Formation in General Apex Games," Economics Series Working Papers 680, University of Oxford, Department of Economics.
    10. repec:ebl:ecbull:v:4:y:2006:i:12:p:1-6 is not listed on IDEAS
    11. Dominik Karos, 2012. "Coalition Formation in Generalized Apex Games," Working Papers 2012.38, Fondazione Eni Enrico Mattei.

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    More about this item

    Keywords

    Coalition formation; Winning coalitions; Simple games; Shapley value;
    All these keywords.

    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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