Shao Chin Sung
   Department   Aoyama Gakuin University  Department of Industrial and Systems Engineering, College of Science and Engineering
   Position   Professor
Language English
Publication Date 2010/06
Type Academic Journal
Title Computational complexity in additive hedonic games
Contribution Type Collaboration
Journal European Journal of Operational Research
Volume, Issue, Page pp.635-639
Author and coauthor *Shao-Chin Sung and Dinko Dimitrov
Details We investigate the computational complexity of several decision problems in hedonic coalition formation
games and demonstrate that attaining stability in such games remains NP-hard even when they are additive.
Precisely, we prove that when either core stability or strict core stability is under consideration, the
existence problem of a stable coalition structure is NP-hard in the strong sense. Furthermore, the corresponding decision problems with respect to the existence of a Nash stable coalition structure and of an individually stable coalition structure turn out to be NP-complete in the strong sense.