ON THE SYMMETRICAL AND WEIGHTED SHAPLEY VALUES

We present new axiomatic characterizations of the symmetric Shapley value and of weighted Shapley values for transferable utility coalitional form games without imposing the axiom of additivity (Shapley [1953a,b]). Our main condition is coalitional strategic equivalence, introduced by Chun [1989]. We show that coalitional strategic equivalence, together with efficiency, and symmetry, characterizes the symmetric Shapley value, and this axiom, together with efficiency, positivity, homogeneity, and partnership, characterizes weighted Shapley values. © 1991 Physica-Verlag.