A non-differentiable approach to revenue equivalence
A non-differentiable approach to revenue equivalence
复制标题
收入等值的不可微方法
作者：
Kim;W. Olszewski
当社会方案集由有限集上的概率分布组成时，我们给出了收入等价的一个充分条件。类型被标识为实值函数，该实值函数将赋值分配给该有限集合的元素，并且类型空间配备有欧几里得拓扑。我们的充分条件比连通性强，但比光滑弧连通性弱。我们的结果推广了所有现有的收入等价定理时的社会选择的集合由概率分布在一个有限的集合。当社会选择集是有限的，我们提供了一个充分必要条件。这个条件类似于连通性，但比连通性稍弱。
We give a sufficient condition on the type space for revenue equivalence when the set of social alternatives consists of probability distributions over a finite set. Types are identified with real-valued functions that assign valuations to elements of this finite set, and the type space is equipped with the Euclidean topology. Our sufficient condition is stronger than connectedness but weaker than smooth arcwise connectedness. Our result generalizes all existing revenue equivalence theorems when the set of social alternatives consists of probability distributions over a finite set. When the set of social alternatives is finite, we provide a necessary and sufficient condition. This condition is similar to, but slightly weaker than, connectedness.