Article ID: | iaor201526321 |
Volume: | 44 |
Issue: | 2 |
Start Page Number: | 275 |
End Page Number: | 293 |
Publication Date: | May 2015 |
Journal: | International Journal of Game Theory |
Authors: | Yokote Koji |
Keywords: | weights, Shapley value |
In this paper, we give a new axiomatization of the weighted Shapley value. We investigate the asymmetric property of the value by focusing on the invariance of payoff after the change in the worths of singleton coalitions. We show that if the worths change by the same amount, then the Shapley value is invariant. On the other hand, if the worths change with multiplying by a positive weight, then the weighted Shapley value with the positive weight is invariant. Based on the invariance, we formulate a new axiom,