Bayesian implementation concerns decision making problems when agents have incomplete information. This paper proposes that the traditional sufficient conditions for Bayesian implementation shall be amended by virtue of a quantum Bayesian mechanism. Furthermore, by using an algorithmic Bayesian...

This paper gives two examples to break through the revelation principle. Furthermore, the revenue equivalence theorem does not hold.

In the field of mechanism design, the revelation principle has been known for decades. Myerson, Mas-Colell, Whinston and Green gave formal proofs of the revelation principle. However, in this paper, we argue that there are serious bugs hidden in their proofs.

[Moore and Repullo, \emph{Econometrica} \textbf{58} (1990) 1083-1099] and [Dutta and Sen, \emph{Rev. Econom. Stud.} \textbf{58} (1991) 121-128] are two fundamental papers on two-agent Nash implementation. Both of them are based on Maskin's classic paper [Maskin, \emph{Rev. Econom. Stud.}...

This paper concerns what will happen if quantum mechanics is concerned in subgame perfect implementation. The main result is: When additional conditions are satisfied, the traditional characterization on subgame perfect implementation shall be amended by virtue of a quantum stage mechanism....

We investigate the issue of implementation via individually rational ex-post budget-balanced Bayesian mechanisms. We demonstrate that all social choice rules that generate a nonnegative ex-ante surplus, including ex-post efficient ones, can generically be implemented via such mechanisms. The...

We introduce intention-based social preferences into a Bayesian mechanism design framework. We first show that, under common knowledge of social preferences, any tension between material efficiency, incentive compatibility, and voluntary participation can be resolved. Hence, famous impossibility...

We present a common value mechanism design model for an informed principal where only the principal has private information, but her one-dimensional private information is allowed to be distributed according to any probability measure. For this model we characterize the set of pure-strategy...