We consider a class of cooperative network games with transferable utilities in which players interact through a probabilistic network rather than a regular, deterministic network. In this class of wealth-generating situations we consider probabilistic extensions of the Myerson value and the...

In cooperative games with transferable utilities, the Shapley value is an extreme case of marginalism while the Equal Division rule is an extreme case of egalitarianism. The Shapley value does not assign anything to the non-productive players and the Equal Division rule does not concern itself...

We introduce a Solidarity value for Network Games which is obtained by any convex combination of the Myerson value, and the Component-wise Equal Division rule. In Network Games under the cooperative framework, the Myerson value signifies marginalism, while the Equal Division rule signifies...