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

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

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Article ID: iaor2002891
Country: Germany
Volume: 90
Issue: 1
Start Page Number: 147
End Page Number: 151
Publication Date: Jan 2001
Journal: Mathematical Programming
Authors:
Abstract:

In the paper ‘On the nucleolus of the basic vehicle routing game’, 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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