We propose and characterize weighted-egalitarian values for cooperative transferable utility games. Each weighted-egalitarian value divides the worth of the grand coalition into two parts and allocates them through equality and proportionality based on exogenous player weights. We characterize...

Every weighted tree corresponds naturally to a cooperative game that we call a tree game; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the leaves are species and this assignment captures the...

We have studied the incentives of forming coalitions in the Airport Problem. It has shown that in this class of games, if coalitions form freely, the Shapley value does not lead to the formation of grand or coalitions with many players. Just a coalition with a few number of players forms to act...