Abstract
In this paper we prove some properties of the locus of the nucleolus of a set C that can be the core of a cooperative game. We show that there are two subsets of C, the kernel and the least core, only dependent on the set C that contain this locus. From this fact we derive that for a set C which is the core of convex game the locus consists of one point. We also give a necessary and sufficient condition that the locus consists of one point.
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© 1994 Springer-Verlag New York, Inc.
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Potters, J., Tijs, S. (1994). On the Locus of the Nucleolus. In: Megiddo, N. (eds) Essays in Game Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2648-2_14
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DOI: https://doi.org/10.1007/978-1-4612-2648-2_14
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