Strong composition down. Characterizations of new and classical bankruptcy rules
This paper is devoted to the study of claims problems. We identify the family of rules that satisfy strong composition down (robustness with respect to reevaluations of the estate) and consistency (robustness with respect to changes in the set of agents) together. Such a family is the Þxed path rules, which is a generalization of the weighted constrained equal awards rules. In addition, once strong composition down and consistency are combined with homogeneity only the weighted constrained equal awards rules survive. We also prove that the constrained equal awards rule is the only rule that satisÞes strong composition down, consistency and equal treatment of equals together.
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