Cardinality and Utilitarianism through Social Interactions
提出一组公理，将社会中各群体的偏好与其子群体的偏好联系起来，从而为每个个体导出基数效用指数，并将群体偏好表示为该群体成员效用指数的加权和。当满足一个额外公理和温和的线性独立假设时，这些权重与群体无关。
We provide axioms that relate the preferences of each group in a society to the preferences of the subgroups contained in them. These axioms yield cardinal utility indices for each individual and a representation of group preferences as the group-dependent weighted sum of the utility indices of the members of that group. We show that these weights are group independent whenever one additional axiom and a mild linear independence assumption are satisfied.