Given any α ∈ [0, 1], an α-constant-sum game on a finite set of players, N, is a function that assigns a real number to any coalition S ⊆ N, such that the sum of the worth of the coalition S and the worth of its complementary coalition N\S is α times of the worth of the grand coalition....

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict players ́possibilities to cooperate. In this paper, we...

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are nonnegative), and there is some hierarchical...