Strong composition down in the adjudication of conflicting claims
Área de conocimiento
This paper is devoted to the study of claims problems. I characterize the family of rules that satisfy both strong composition down (robustness with respect to reevaluations of the estate) and consistency (robustness with respect to changes in the set of agents). These are the fixed path rules, a generalization of the weighted constrained equal awards rules. In addition, if strong composition down and consistency are combined with homogeneity, only the weighted constrained equal awards rules survive. I also prove that the constrained equal awards rule is the only rule that satisfies strong composition down, consistency and equal treatment of equals. Keywords: claims problem, strong composition down, fixed path rules, constrained equal awards rule.