Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian
证明，在聚合无限效用流时，即使不要求连续性公理，也不存在同时满足帕累托和代际公平的社会福利函数，且该结论适用于更广泛的效用域。
It has been known that, in aggregating infinite utility streams, there does not exist any social welfare function, which satisfies the axioms of Pareto, intergenerational equity, and continuity. We show that the impossibility result persists even without imposing the continuity axiom, and in frameworks allowing for more general domains of utilities than those used in the existing literature.