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

Chardaire, P. (2001) The core and nucleolus of games: A note on a paper by Göthe-Lundgren et al. Mathematical Programming, 90 (1). pp. 147-151. ISSN 0025-5610

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Computing Sciences
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 08 Mar 2011 12:52
Last Modified: 21 Apr 2020 20:57
URI: https://ueaeprints.uea.ac.uk/id/eprint/23879
DOI: 10.1007/PL00013711

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