Implementation in Dominant Strategies under Complete and Incomplete Information
证明,如果一个社会选择规则能通过间接机制在占优策略下实施,但不存在直接机制能实现这一点,那么原间接机制在完全信息下无法以纳什策略实施,在不完全信息下也无法以贝叶斯策略实施。
This paper shows that if a social choice rule can be implemented in dominant strategies by an indirect mechanism, but there does not exist a direct mechanism that implements it in dominant strategies, then it must be the case that the original indirect mechanism does not implement the social choice rule in Nash strategies (under complete information) or in Bayesian strategies (under imcomplete information).