A Solidarity Value for Network Games : Characterizations and Implementation

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 egalitarianism. The convexity parameter in the proposed Solidarity value combines these two attributes and determines the degree of solidarity to the players. Further, we propose an implementation mechanism for the Solidarity value under sub-game perfect equilibrium