中文摘要
对偏好的大多数比较都是单交叉占优的实例。我们考察单交叉占优的格结构, 证明了任意偏好集合的最小上界的刻画、存在性与唯一性结果。我们将这些定理应用于推导集体选择以及分析者不确定性下的新的比较静态定理, 并刻画萨维奇 (Savage) 行动上一类一般性的“最大最小”(maxmin) 不确定性厌恶偏好。
Abstract
Most comparisons of preferences are instances of single-crossing dominance. We examine the lattice structure of single-crossing dominance, proving characterisation, existence and uniqueness results for minimum upper bounds of arbitrary sets of preferences. We apply these theorems to derive new comparative statics theorems for collective choice and under analyst uncertainty, and to characterise a general 'maxmin' class of uncertainty-averse preferences over Savage acts.