This paper presents a characterization of a welfare index for the evaluation of primary goods (to be understood as those goods that all agents should enjoy equally). The welfare associated with a given distribution of n primary goods among m agents is measured as the sum of n real-valued...

We study claims problems in which a certain amount of indivisible units (of an homogeneous good) has to be distributed among a group of agents, when this amount is not enough to fully satisfy agents' demands. We are interested in finding solutions satisfying robustness and fairness properties....