On the 1-nucleolus

M.A. Estévez-Fernández , Peter Borm, Fiestras, Mosquera, Sanchez

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1 Citation (Scopus)
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This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus. It is seen that, contrary to the nucleolus, the 1-nucleolus can be computed in polynomial time due to a characterization using a combination of standard bankruptcy rules for associated bankruptcy problems. Sufficient conditions on a compromise stable game are derived such that the 1-nucleolus and the nucleolus coincide.
Original languageEnglish
Pages (from-to)309-329
JournalMathematical Methods of Operations Research
Issue number2
Publication statusPublished - Oct 2017


  • 1-nucleolus
  • compromise stable games
  • Aumann-Maschler rule
  • nucleolus


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