Abstract
The modiclus, a relative of the prenucleolus, assigns a singleton to any cooperative TU game. We show that the modiclus selects a member of the core for any exact orthogonal game and for any assignment game that has a stable core. Moreover, by means of an example we show that there is an exact TU game with a stable core that does not contain the modiclus.
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The authors are grateful to the Editor and to the Associate Editor of this journal for several remarks that helped to improve the writing of this paper.
This research was supported by the NSF grants DMS 0072678 and DMS 9704951.
This research was conducted while visiting the University of Illinois at Chicago under a special short term visiting professorship.
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Raghavan, T.E.S., Sudhölter, P. The modiclus and core stability. Int J Game Theory 33, 467–478 (2005). https://doi.org/10.1007/s00182-005-0207-7
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DOI: https://doi.org/10.1007/s00182-005-0207-7