Reconfirming the prenucleolus

By means of an example, it is shown that the prenucleolus is not the only minimal solution that satisfied nonemptiness, Pareto optimality, convariance, 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. 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.