Abstract.
In the paper “On the nucleolus of the basic vehicle routing game”, Mathematical Programming 72, 83–100 (1996), Göthe-Lundgren et al. develop a constraint generation method to compute the pre-nucleolus of a game. Their method assumes that constraints that are redundant in the representation of the core can be ignored in the computation of the pre-nucleolus. We provide an example that shows that for a game with an empty core such an assumption is, in general, not valid. Further, we show that a statement made by Göthe-Lundgren et al. about an intuitive interpretation of the pre-nucleolus is misleading.
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Received: January 1996 / Accepted: February 2000¶Published online January 17, 2001
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Chardaire, P. The core and nucleolus of games: A note on a paper by Göthe-Lundgren et al.. Math. Program. 90, 147–151 (2001). https://doi.org/10.1007/PL00013711
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DOI: https://doi.org/10.1007/PL00013711