Single-Crossing Random Utility Models
提出一种新的随机选择模型:单交叉随机效用模型,该模型中的偏好集合满足单交叉性质,并通过单调性和中心性两个易检验条件进行刻画,且偏好集合与概率唯一确定。
We propose a novel model of stochastic choice: the single-crossing random utility model (SCRUM). This is a random utility model in which the collection of preferences satisfies the single-crossing property. We o↵er a characterization of SCRUMs based on two easy-to-check properties: the classic Monotonicity property and a novel condition, Centrality. The identified collection of preferences and associated probabilities is unique. We show that SCRUMs nest both single-peaked and single-dipped random utility models and establish a stochastic monotone comparative result for the case of SCRUMs.