Observable interpersonal utility comparisons
证明,在偏离期望效用框架后,可以通过最小均值社会福利函数唯一识别个体的效用和权重,解决了人际效用比较的可观测性问题。
Abstract Harsanyi’s seminal aggregation theorem axiomatized weighted utilitarianism based on expected utility theory. However, the weights assigned to each individual cannot be separated from the individual’s utility. We show that once we depart from the expected utility framework, it is possible to uniquely identify the utilities and the weights. Specifically, we show that in the min-of-means social welfare function if each individual has a cardinal utility, unique up to a positive affine transformation, and any redistribution of utilities changes the social welfare for some initial allocation, then we can uniquely identify the utilities of the individuals and the weights of the social welfare function.