output (or input) commodities, is a central theme of the theory of cooperative games with transferable utility. Ever since … microeconomic theory. More recently, the simpler problem of rationing a single commodity according to a profile of claims … corresponds to the Shapley-Shubik method, applying the Shapley formula to the Stand Alone costs. Several open problems are …

of these games by showing that a particular class of optimization problems has supermodular optimal costs. This class …