Computational complexity in additive hedonic games
AbstractWe 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.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 203 (2010)
Issue (Month): 3 (June)
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Web page: http://www.elsevier.com/locate/eor
Additive preferences Coalition formation computational complexity Hedonic games NP-hard NP-complete;
Other versions of this item:
- Sung, Shao-Chin & Dimitrov, Dinko, 2008. "Computational Complexity in Additive Hedonic Games," Discussion Papers in Economics 6430, University of Munich, Department of Economics.
- Dinko Dimitrov & Shao-Chin Sung, 2008. "Computational Complexity in Additive Hedonic Games," Working Papers 2008.98, Fondazione Eni Enrico Mattei.
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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