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Coalition Formation in Simple Games: The Semistrict Core

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  • Dimitrov, Dinko
  • Haake, Claus-Jochen

Abstract

We consider the class of proper monotonic simple games and study coalition formation when an exogenous share vector and a solution concept are combined to guide the distribution of coalitional worth. Using a multiplicative composite solution, we induce players' preferences over coalitions in a hedonic game, and present conditions under which the semistrict core of the game is nonempty.

Suggested Citation

  • 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).
    • Handle: RePEc:ags:feemct:12175
    DOI: 10.22004/ag.econ.12175
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    File URL: https://ageconsearch.umn.edu/record/12175/files/wp060072.pdf
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    References listed on IDEAS

    as
    1. Joseph Farrell & Suzanne Scotchmer, 1988. "Partnerships," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(2), pages 279-297.
    2. Dinko Dimitrov, 2006. "Top coalitions, common rankings, and semistrict core stability," Economics Bulletin, AccessEcon, vol. 4(12), pages 1-6.
    3. 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.
    4. 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.
    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. repec:ebl:ecbull:v:4:y:2006:i:12:p:1-6 is not listed on IDEAS
    8. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Political Economy;

    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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