论文标题
凸环境中的单线差异
Single-Crossing Differences in Convex Environments
论文作者
论文摘要
代理的偏好取决于有序的参数或类型。我们在凸环境中表征具有单跨差异（SCD）的一组实用程序函数。这些包括对彩票的偏好，包括预期的效用和与等级依赖的效用框架，以及对商品捆绑和消费流的偏好。我们的SCD概念并不认为选择空间上的订单。这个无序的SCD是必要的，足以在“间隔选择”比较静态。我们向廉价谈话，观察性学习和集体选择介绍了应用，展示了这些问题中凸环境以及SCD/间隔选择如何有用。从方法上讲，我们的主要特征源于单跨函数的线性聚集的结果。
An agent's preferences depend on an ordered parameter or type. We characterize the set of utility functions with single-crossing differences (SCD) in convex environments. These include preferences over lotteries, both in expected utility and rank-dependent utility frameworks, and preferences over bundles of goods and over consumption streams. Our notion of SCD does not presume an order on the choice space. This unordered SCD is necessary and sufficient for ''interval choice'' comparative statics. We present applications to cheap talk, observational learning, and collective choice, showing how convex environments arise in these problems and how SCD/interval choice are useful. Methodologically, our main characterization stems from a result on linear aggregations of single-crossing functions.
