Harsanyi's Aggregation Theorem with Incomplete Preferences
将Harsanyi加总定理推广到个体和社会偏好都不完全的情形,证明在帕累托无差异条件下,社会偏好可由一组广义功利主义的加总规则表示。
We provide a generalization of Harsanyi's (1955) aggregation theorem to the case of incomplete preferences at the individual and social level. Individuals and society have possibly incomplete expected utility preferences that are represented by sets of expected utility functions. Under Pareto indifference, social preferences are represented through a set of aggregation rules that are utilitarian in a generalized sense. Strengthening Pareto indifference to Pareto preference provides a refinement of the representation.