On supremum-norm cost games

This paper presents a new class of cooperative cost games, supremum-norm cost games, which emerges as a natural extension of kk-norm games introduced by Meca and Sošić (2014) and can be seen as a generalization of the airport games introduced by Littlechild and Owen (1973). We show that it is reasonable to expect formation of the grand coalition in such setting, and describe allocations that lead to stability of the grand coalition and reduce the individual cost of each agent.