Reconfirming the prenucleolus

Guni Orshan*, Peter Sudhölter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

By means of an example, it is shown that the prenucleolus is not the only minimal solution that satisfies nonemptiness, Pareto optimally, covariance, the equal treatment property, and the reduced game property, even if the universe of players is infinite. This example also disproves a conjecture of Gurvich et al. (1994). As a second result, we prove that the prenucleolus is axiomatized by nonemptiness, covariance, the equal treatment property, and the reconfirmation property, provided the universe of players is infinite.

Original languageAmerican English
Pages (from-to)283-293
Number of pages11
JournalMathematics of Operations Research
Volume28
Issue number2
DOIs
StatePublished - May 2003

Keywords

  • Game theory
  • Prenucleolus

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