A characterization of maximum Nash welfare for indivisible goods
在不可分割商品分配中，最大纳什福利规则通过最大化代理人效用乘积实现公平，本文证明它是唯一满足“至多一件商品嫉妒自由”的加总福利规则，即使在两人情形也成立。
In the allocation of indivisible goods, the maximum Nash welfare (MNW) rule, which chooses an allocation maximizing the product of the agents’ utilities, has received substantial attention for its fairness. We characterize MNW as the only additive welfarist rule that satisfies envy-freeness up to one good. Our characterization holds even in the simplest setting of two agents.