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Top responsiveness and stable partitions in coalition formation games

Dinko Dimitrov and Shao Chin Sung
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Shao Chin Sung: Center for Mathematical Economics, Bielefeld University

No 365, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

Abstract: Top responsiveness is introduced by Alcalde and Revilla [Journal of Mathematical Economics 40 (2004) 869-887] as a property which induces a rich domain on players's preferences in hedonic games, and guarantees the existence of core stable partitions. We strengthen this observation by proving the existence of strict core stable partitions, and when a mutuality condition is imposed as well, the existence of Nash stable partitions.

Keywords: Coalition formation; Strict core stability; Nash stability; Partitions (search for similar items in EconPapers)
Date: 2011-08-12
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https://pub.uni-bielefeld.de/download/2315430/2319789 First Version, 2005 (application/pdf)

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