It is well known since Owen (Management Science, 1968) that the weights in the weighted Shapley value cannot be interpreted as a measure of power (i.e. of the ability to bargain) of the players. This paper proposes a new weight scheme for the Shapley value. Weights in this framework have to be interpreted as a measure of bargaining power. Two different axiomatic characterization of this new value are proposed: one including the weights in the axioms and one without.
Type of Document - PostScript; prepared on IBM PC - PC-TEX; to print on PostScript - A4; pages: 11 . 11 pages, postscript, prepared from dvips 11 pages