Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems
提出弱成对可辩护性原则,证明该原则是阿罗不可能定理和吉巴德-萨特斯韦特定理的共同基础,适用于弱偏好序全域上的集体选择规则。
Abstract We introduce a novel principle that we call weak pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard–Satterthwaite theorem and Arrow’s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders (also for strict).