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Coalition formation in simple Games. the semistrict core

Author

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  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

  • Haake, Claus-Jochen

    (Center for Mathematical Economics, Bielefeld University)

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, 2011. "Coalition formation in simple Games. the semistrict core," Center for Mathematical Economics Working Papers 378, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:378
    as

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    File URL: https://pub.uni-bielefeld.de/download/2315639/2319821
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    References listed on IDEAS

    as
    1. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    2. 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.
    3. Dinko Dimitrov, 2006. "Top coalitions, common rankings, and semistrict core stability," Economics Bulletin, AccessEcon, vol. 4(12), pages 1-6.
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    6. 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.
    7. Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "An axiomatic approach to composite solutions," Center for Mathematical Economics Working Papers 385, Center for Mathematical Economics, Bielefeld University.
    8. repec:ebl:ecbull:v:4:y:2006:i:12:p:1-6 is not listed on IDEAS
    9. Carreras, Francesc, 1996. "On the Existence and Formation of Partnerships," Games and Economic Behavior, Elsevier, vol. 12(1), pages 54-67, January.
    10. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
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    13. 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.
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