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Two hardness results for core stability in hedonic coalition formation games
Authors:Vladimir G. Deineko  Gerhard J. Woeginger
Affiliation:1. Warwick Business School, The University of Warwick, Coventry CV4 7AL, United Kingdom;2. Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Abstract:We establish NP-completeness of two problems on core stable coalitions in hedonic games. In the first problem every player has only two acceptable coalitions in his preference list, and in the second problem the preference structures arise from the distances in an underlying metric space.
Keywords:Computational social choice  Computational complexity  Coalition formation  Hedonic game
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