Balancedness of multiple machine sequencing games revisited

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Abstract We study m-sequencing games, which were introduced by [Hamers, H., Klijn, F., Suijs, J., (1999). On the balancedness of multiple machine sequencing games. European Journal of Operational Research 119, 678–691]. We answer the open question whether all these games are balanced in the negative. We do so, by an example of a 3-sequencing situation with 5 jobs, whose associated 3-sequencing game has an empty core. The counterexample finds its basis in an inconsistency in [Hamers et al., ibid], which was probably overlooked by the authors. This observation demands for a detailed reconsideration of their proofs.1 Keywords: Game theory; Cooperative games; Sequencing situations
Original languageEnglish
Pages (from-to)1944-1949
Number of pages6
JournalEuropean Journal of Operational Research
Issue number3
Publication statusPublished - 2006


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