Kybernetika 42 no. 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.