# An Ordinal Shapley Value for Economic Environments

Working paper

Publisher:

University of the Negev

Year:

2004

We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is deﬁned recursively, incorporating notions of consistency and fairness and relying on properties satisﬁed by the Shapley value for Transferable Utility (TU) games. We show a solution exists, and call it the Ordinal Shapley value (OSV). We characterize the OSV using the notion of coalitional dividends, and furthermore show it is monotone and anonymous. Finally, similarly to the weighted Shapely value for TU games, we construct a weighted OSV as well.