so, there's always at least some way of dividing payments between all of the agents to support the grand coalition and in a way where no subset of the agents would be willing to deviate in order to, to benefit themselves secondly, even better, the shopley value is in the core for convex games and so that means that for these particular games, dividing the value of the grand coalitoin in a way that is stable and dividing the value of the grand coalition in a way that is fair are not goals that are at odds with each other.