Reconfirming the prenucleolus

Guni Orshan; Peter Sudhölter

doi:10.1287/moor.28.2.283.14482

Reconfirming the prenucleolus

Guni Orshan^*
, Peter Sudhölter

^*Corresponding author for this work

Department of Environmental Economics and Management

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	283-293
Number of pages	11
Journal	Mathematics of Operations Research
Volume	28
Issue number	2
DOIs	https://doi.org/10.1287/moor.28.2.283.14482
State	Published - May 2003

Keywords

Game theory
Prenucleolus

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10.1287/moor.28.2.283.14482

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Reconfirming the prenucleolus

Abstract

Keywords

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