Extension of the Perles-Maschler solution to N-person bargaining games

The superadditive solution for 2-person Nash bargaining games was axiomatically defined in Perles/Maschler. In Perles it was shown that the axioms are incompatible even for 3-person bargaining games. In this paper the authors offer a generalization method of this solution concept for N-person games. In this method, the Kalai-Smorodinsky solution is revealed as the rule followed to determine the movements, along the path of intermediate agreements.