A New Prospect of Additivity in Bankruptcy Problems

As is known, there is no rule satisfying Adittivity on the complete domain of bankruptcy problems. This paper explores some Partial-Adittivity properties in this context. We determine that Adittivity restricted to bankruptcy problems which in some way keep the conflictivity of the creditors' claims fixed is compatible with certain bankruptcy rules. Our main result is that the proposed Adittivity property, together with two quite compelling axioms, Anonymity and Continuity, identify the Minimal Overlap rule, introduced by O'Neill (1982).