Two Extensions of the Shapley Value for Cooperative Games

摘要

Two extensions of the Shapley value are given. First the authors consider a211u001eprobabilistic framework in which certain consistent allocation rules such as the 211u001eShapley value are characterized. The second generalization of the Shapely value 211u001eis an extension to the structure of posets by means of a recursive form. In the 211u001elatter setting, the Shapley value for quasi-concave games is shown to be a core-211u001eallocation.