Article ID: | iaor20125718 |
Volume: | 20 |
Issue: | 3 |
Start Page Number: | 661 |
End Page Number: | 678 |
Publication Date: | Oct 2012 |
Journal: | TOP |
Authors: | Hinojosa M, Mrmol A, Snchez F |
Keywords: | cooperative games |
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.