A characterization of the symmetric Banzhaf value for Games with a Coalition Structure

Research Article, Jony Rojas-Rojas, Francisco Sanchez-Sanchez
2015 Journal homepage: www.ijaamm.com International Journal of Advances in Applied Mathematics and Mechanics   unpublished
We provide a new characterization of the symmetric Banzhaf value via the coalitional neutral player, intracoalitional balanced contributions and coalitional transfer invariance axioms. The latter axiom says that a union's total payoff is invariant to a transfer of worth between two coalitions he or she belongs to, provided that such coalitions do not contain subsets of any union. MSC: 91A12 • 91A40