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.
|Date of creation:||Dec 2005|
|Date of revision:|
|Publication status:||Published in Cahiers de la Maison des Sciences Economiques 2005.91 - ISSN : 1624-0340. 2005|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00197528|
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