Monotonicity and the Aumann‐Shapley cost-sharing method in the discrete case

We give an axiomatization of the Aumann–Shapley cost‐sharing method in the discrete case by means of monotonicity and no merging or splitting (Sprumont, 2005). Monotonicity has not yet been employed to characterize this method in such a case, by contrast with the case in which goods are perfectly divisible, for which Monderer and Neyman (1988) and Young (1985b) characterize the Aumann–Shapley price mechanism.