efficiency, fairness and a new axiom called component balancedness. This latter axiom compares for every component in the …

use efficiency which is not satisfied by the Banzhaf value. On the other hand, the Banzhaf value satisfies collusion … these axioms characterize the equal division solution. Further, we show that there is no solution that satisfies efficiency …, collusion neutrality and the null player property. Finally, we show that a solution satisfies efficiency, collusion neutrality …

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of …