This paper provides a noncooperative understanding of the nucleolus and the egalitarian allocation for airport cost problems. We find that every Nash equilibrium of the noncooperative game has the nucleolus as outcome while the egalitarian allocation is just one of the Nash outcomes.

In 1972, Maschler, Peleg and Shapley proved that in the class of convex the nucleolus and the kernel coincide. The only aim of this note is to provide a shorter, alternative proof of this result.