The reverse Talmud family of rules for bankruptcy Problems: AÂ characterization

We characterize the reverse Talmud family of  rules for bankruptcy problems using consistency and additivity on a restricted domain of problems. The family includes several standard rules such as the constrained equal awards, constrained equal losses and reverse Talmud rules. This last rule is characterized by further imposing the mid-point property. Furthermore, each member of the RTAL-family is characterized using consistency and additivity on a domain in which that member is additive.