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Reconfirming the prenucleolus

Author

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  • Orshan, Gooni

    (Center for Mathematical Economics, Bielefeld University)

  • Sudhölter, Peter

    (Center for Mathematical Economics, Bielefeld University)

Abstract

By means of an example it is shown that the prenucleolus is not the only minimal solution that satisfies nonemptiness, Pareto optimality, covariance, the equal treatment property and the reduced game property, even if universe of players is infinite. This example also disproves a conjecture of Gurvich et al. Moreover, 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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Orshan, Gooni & Sudhölter, Peter, 2017. "Reconfirming the prenucleolus," Center for Mathematical Economics Working Papers 325, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:325
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    File URL: https://pub.uni-bielefeld.de/download/2909876/2910127
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