Axiomatizations of the Conjunctive Permission Value for Games with Permission Structures

摘要

A situation in which players can generate certain pay-offs by cooperating can be described by a cooperative game with transferable utilities. In the paper, the authors assume that the players who are participating in such a game, are part of some permission structure. This means that there are players who need permission from one or more other players before they can act or cooperate with other players to generate some pay-off. It is clear that such a permission structure limits the possibilities of cooperation. They derive a modified game that takes account of these limited cooperation possibilities. They then give axiomatic characterizations of the Shapley value of this modified game.