Reconfirming the prenucleolus

• 成果类型: Article
• 署名作者: Orshan, G; Sudhölter, P
• 署名单位: Hebrew University of Jerusalem; Open University Israel; University of Southern Denmark
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.28.2.283.14482
• 发表日期: 2003
• 页码: 283-293
• 关键词: nucleolus

摘要

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 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.