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The family of least square values for transferable utility games. (English) Zbl 0910.90276
Summary: This work deals with the family of values obtained by minimizing the weighted variance of the coalitional excesses on the preimputation set. In this way an interesting family of values emerges: the least square family, as we call it, which includes the Shapley value. A formula for their calculation, properties, and axiomatic characterization are given. It is also shown that the additive efficient normalization of any semivalue is a least square value. A characterization by means of consistency of an interesting subset of this family, also including the Shapley value, is obtained. \(\copyright\) 1998 Academic Press.

MSC:
91A12 Cooperative games
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