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 InfoPaper provided by University of Munich, Department of Economics in its series Discussion Papers in Economics with number 6430.
Date of creation: 07 Oct 2008
Date of revision:
additive preferences; coalition formation; computational complexity; hedonic games; NP-hard; NP-complete;
Other versions of this item:
- 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.
- 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
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