A collection of TU games solutions intermediate between the prekernel and the prenucleolus is considered. Each solution from the collection is parametrized by a positive integer k 1 and is called the k-prekernel for properties extending those verifying by the prekernel such that the 2-prekernel...

This note shows that the egalitarian Dutta and Ray (1989) solution for transferable utility games is self-antidual on the class of exact partition games. By applying a careful antiduality analysis, we derive several new axiomatic characterizations. Moreover, we point out an error in earlier work...