Bankruptcy and the Per Capita Nucleolus

Abstract: This article characterizes the per capita nucleolus for bankruptcy games as a bankruptcy rule. This rule, called the cligths rule, is based on the wellknown constrained equal awards principle. The essential feature of the rule however is that, for each bankruptcy problem, it takes into account a vector of clights. These clights only depend on the vector of claims while the height of the estate determines whether the clights should be interpreted as modified claims or as rights. Finally, it is seen that both the clights rule and the Aumann-Maschler rule can be captured within the family of so-called claim and right rules.