The RTAL-Family of Rules for Bankruptcy Problems: A Characterization

We characterize a family of bankruptcy rules on the basis of the consistency and additivity in a limited domain: "restricted additiv-ity". The family contains the constrained equal awards, the con-strained equal losses and the reverse Talmud rules. Each member of the family is characterized using consistency and additivity in broader domains than restricted additivity. We also show that the reverse Talmud rule is the only rule satisfying consistency, restricted additiv-ity and half-claim boundedness