A consistent talmudic rule for division problems with multiple references

A consistent talmudic rule for division problems with multiple references

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Article ID: iaor20125718
Volume: 20
Issue: 3
Start Page Number: 661
End Page Number: 678
Publication Date: Oct 2012
Journal: TOP
Authors: , ,
Keywords: cooperative games
Abstract:

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 (1985). Finally, we establish the consistency and other basic properties of the rule.

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