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The core-partition of hedonic games

A pure hedonic game describes the situation where player's utility depends only on the identity of the members of the group he belongs to. The paper provides a necessary and sufficient condition for the existence of core-partition in hedonic games. The condition is based on a new concept of balancedness, called pivotal balancedness. pivotal balancedness involves especially the notion pivotal distribution that associates to each coalition a sub-group of players in the coalition. Then, we proceed to a review of several sufficient conditions for core-partition existence showing how the results can be unified through suitably chosen pivotal distributions.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2005/B05091.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b05091.

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Length: 11 pages
Date of creation: Dec 2005
Date of revision:
Handle: RePEc:mse:wpsorb:b05091
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  1. Dimitrov, D.A. & Borm, P.E.M. & Hendrickx, R.L.P. & Sung, S.C., 2004. "Simple Priorities and Core Stability in Hedonic Games," Discussion Paper 2004-5, Tilburg University, Center for Economic Research.
  2. Szilvia Papai, 2000. "Unique Stability in Simple Coalition Formation Games," Econometric Society World Congress 2000 Contributed Papers 1537, Econometric Society.
  3. Bonnisseau, Jean-Marc & Iehlé, Vincent, 2007. "Payoff-dependant Balancedness and Cores," Economics Papers from University Paris Dauphine 123456789/89, Paris Dauphine University.
  4. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  5. Anna Bogomolnaia & Michel Breton & Alexei Savvateev & Shlomo Weber, 2008. "Stability of jurisdiction structures under the equal share and median rules," Economic Theory, Springer, vol. 34(3), pages 525-543, March.
  6. Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999. "Core in a Simple Coalition Formation Game," Boston College Working Papers in Economics 449, Boston College Department of Economics.
  7. Dreze, J.H. & Greenberg, J., . "Hedonic coalitions: optimality and stability," CORE Discussion Papers RP -403, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Predtetchinski, Arkadi & Jean-Jacques Herings, P., 2004. "A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game," Journal of Economic Theory, Elsevier, vol. 116(1), pages 84-92, May.
  9. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 313-327, December.
  10. Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February.
  11. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
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