A new concept of consistency for cost sharing solutions is discussed, analyzed, and related to the homonymous property within the rationing context. The class of additive and consistent mechanisms is isomorphic to the class of consistent and monotonic rationing methods. Consequently average and serial cost sharing are consistent, whereas Shapley-Shubik is not. Average cost sharing is the only s...

We describe the construction and analysis of asymmetric Cost Sharing mechanisms, in which a variety of axioms are applied to subsets of the agents/goods. We show that the analysis can be quite subtle as apparently similar axiomatizations lead to significantly different results; in particular, combinations of symmetric mechanisms can be extremely asymmetric and biased. In addition, we characteri...

The problem of sharing the cost of a common infrastructure among a set of strategic and cooperating players has been the subject of intensive research in recent years. However, most of these studies consider cooperative cost sharing games in an offline setting, i.e., the mechanism knows all players and their respective input data in advance. In this paper, we consider cooperative cost sharing g...