We propose two axioms that introduce lower bounds into resource monotonicity requirements for rules for the problem of adjudicating conflicting claims. Suppose the amount to divide increases. The first axiom requires that two claimants whose lower bound changes equally experience an equal change...

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....

This paper reports an experimental study on three well-known solutions for problems of adjudicating con icting claims: the constrained equal-awards, the proportional, and the constrained equal-losses rules. We first let subjects play three games designed such that the unique equilibrium...