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...

We introduce basic needs in cost-sharing problems so that agents with higher needs are not penalized, all the while holding them responsible for their consumption. We characterize axiomatically two families of cost-sharing rules, each favoring one aspect — compensation or responsibility —...