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On core membership testing for hedonic coalition formation games

Author

Listed:
  • Sung, Shao Chin

    (Center for Mathematical Economics, Bielefeld University)

  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

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.

Suggested Citation

  • Sung, Shao Chin & Dimitrov, Dinko, 2011. "On core membership testing for hedonic coalition formation games," Center for Mathematical Economics Working Papers 374, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:374
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    File URL: https://pub.uni-bielefeld.de/download/2315475/2319797
    File Function: First Version, 2005
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    Cited by:

    1. Sung, Shao-Chin & Dimitrov, Dinko, 2010. "Computational complexity in additive hedonic games," European Journal of Operational Research, Elsevier, vol. 203(3), pages 635-639, June.
    2. Woeginger, Gerhard J., 2013. "A hardness result for core stability in additive hedonic games," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 101-104.

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