The core and nucleolus of games: A note on a paper by Göthe-Lundgren et al.

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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.
Original languageEnglish
Pages (from-to)147-151
Number of pages5
JournalMathematical Programming
Volume90
Issue number1
DOIs
Publication statusPublished - 2001

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