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Coalition formation in simple Games. the semistrict core

Author

Listed:
  • 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. Carreras, Francesc, 1996. "On the Existence and Formation of Partnerships," Games and Economic Behavior, Elsevier, vol. 12(1), pages 54-67, January.
    2. Slikker, Marco, 2001. "Coalition Formation and Potential Games," Games and Economic Behavior, Elsevier, vol. 37(2), pages 436-448, November.
    3. Farrell, Joseph & Scotchmer, Suzanne, 1986. "Partnerships," Department of Economics, Working Paper Series qt49d211x4, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    4. Dinko Dimitrov, 2006. "Top coalitions, common rankings, and semistrict core stability," Economics Bulletin, AccessEcon, vol. 4(12), pages 1-6.
    5. 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.
    6. Joseph Farrell & Suzanne Scotchmer, 1988. "Partnerships," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(2), pages 279-297.
    7. 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.
    8. 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.
    9. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. 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.
    11. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    12. 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.
    13. repec:ebl:ecbull:v:4:y:2006:i:12:p:1-6 is not listed on IDEAS
    14. 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.
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