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Coalition Formation in Simple Games: The Semistrict Core

Author

Listed:
  • Dinko Dimitrov

    (Bielefeld University)

  • Claus-Jochen Haake

    (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

  • Dinko Dimitrov & Claus-Jochen Haake, 2006. "Coalition Formation in Simple Games: The Semistrict Core," Working Papers 2006.72, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2006.72
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    References listed on IDEAS

    as
    1. Slikker, Marco, 2001. "Coalition Formation and Potential Games," Games and Economic Behavior, Elsevier, vol. 37(2), pages 436-448, November.
    2. 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.
    3. 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.
    4. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Joseph Farrell & Suzanne Scotchmer, 1988. "Partnerships," The Quarterly Journal of Economics, Oxford University Press, vol. 103(2), pages 279-297.
    6. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    7. 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.
    8. Dimitrov, Dinko, 2011. "On top coalitions, common rankings, and semistrict core stability," Center for Mathematical Economics Working Papers 377, Center for Mathematical Economics, Bielefeld University.
    9. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    10. 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.
    11. Dinko Dimitrov, 2006. "Top coalitions, common rankings, and semistrict core stability," Economics Bulletin, AccessEcon, vol. 4(12), pages 1-6.
    12. 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.
    13. repec:ebl:ecbull:v:4:y:2006:i:12:p:1-6 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Coalition Formation; Paradox of Smaller Coalitions; Semistrict Core; Simple Games; Winning Coalitions;

    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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