A consistent talmudic rule for division problems with multiple references

We consider an extension of the classic division problem with claims, division problems with multiple references. We show that the theory of cooperative games is able to provide a single-valued allocation rule for this class of problems. Moreover, this rule can be related with the Talmud rule for the classic division problem, as in Aumann and Maschler (J. Econ. Theory 36, 195–213, <CitationRef CitationID="CR1">1985</CitationRef>). Finally, we establish the consistency and other basic properties of the rule. Copyright Sociedad de Estadística e Investigación Operativa 2012