We are concerned with the problem of core membership testing for hedonic coalition formation games, which is to decide whether a certain coalition structure belongs to the core of a given game. We show that this problem is co-NP complete when players' preferences are additive.
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Paper provided by Bielefeld University, Institute of Mathematical Economics in its series Working Papers with number
374.
Find related papers by JEL classification: C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
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