On core membership testing for hedonic coalition formation games

  • Authors:
  • Shao Chin Sung;Dinko Dimitrov

  • Affiliations:
  • Department of Industrial and Systems Engineering, Aoyama Gakuin University, 5-10-1 Fuchinobe, Sagamihara City, Kanagawa 229-8558, Japan;Institute of Mathematical Economics, Bielefeld University, P.O. Box 100131, 33501 Bielefeld, Germany

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

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.