The shapley transfer value without zero weights

Shapley's wellknown existence proof for the Shapley transfer value must allow for rather troublesome zero utility weights. In order to avoid these, a different existence proof is given in this paper. As an application of this approach it is shown that such a Shapley transfer value of a convex non-sidepayment game is an element of its strong core, and furthermore, an axiomatization of the Shapley transfer value is presented, basing upon the formal specification of a notion of independence of irrelevant alternatives.