On the Equivalence of Bayesian and Dominant Strategy Implementation
在线性效用和独立一维私人类型下，证明任何贝叶斯激励相容机制都存在一个等价的占优策略激励相容机制，保持相同的中间预期效用和社会剩余。
We consider a standard social choice environment with linear utilities and independent, one-dimensional, private types. We prove that for any Bayesian incentive compatible mechanism there exists an equivalent dominant strategy incentive compatible mechanism that delivers the same interim expected utilities for all agents and the same ex ante expected social surplus. The short proof is based on an extension of an elegant result due to Gutmann, Kemperman, Reeds, and Shepp (1991). We also show that the equivalence between Bayesian and dominant strategy implementation generally breaks down when the main assumptions underlying the social choice model are relaxed or when the equivalence concept is strengthened to apply to interim expected allocations.