Abstract
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 ofadditivity (Shapley [1953a,b]). Our main condition iscoalitional strategic equivalence, introduced by Chun [1989]. We show thatcoalitional strategic equivalence, together withefficiency, andsymmetry, characterizes the symmetric Shapley value, and this axiom, together withefficiency, positivity, homogeneity, andpartnership, characterizes weighted Shapley values.
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