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Kybernetika 42(4):453-460, 2006.

Top Responsiveness and Nash Stability in Coalition Formation Games

Dinko Dimitrov and Shao Chin Sung


Abstract:

Top responsiveness was shown by Alcalde and Revilla \cite{AR} to guarantee the existence of core stable partitions in hedonic coalition formation games. In this paper we prove the existence of Nash stable partitions under top responsiveness when a mutuality condition is imposed.


Keywords: coalition formation; hedonic games; Nash stability; top responsiveness;


AMS: 71; C72; C78; D71;


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BIB TeX

@article{kyb:2006:4:453-460,

author = {Dimitrov, Dinko and Sung, Shao Chin},

title = {Top Responsiveness and Nash Stability in Coalition Formation Games},

journal = {Kybernetika},

volume = {42},

year = {2006},

number = {4},

pages = {453-460}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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