Single-Crossing Random Utility Models
单交叉随机效用模型
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 utility functions satisfies the single-crossing property. We offer a characterization of SCRUMs based on three easy-to-check properties: Positivity, Monotonicity and Centrality. The identified collection of utility functions and associated probabilities is basically unique. We establish a stochastic monotone comparative…