This paper studies a stability notion and matching processes in the job market with
incomplete information on the workers' side. Each worker is associated with a type, and …

This paper extends the Bayesian stability notion of Liu (2020) to define the Bayesian stability
of a market state, which consists of a matching outcome and an information structure. The …

We review the nascent field of matching with incomplete information and its connections to
other areas of research. Additionally, we discuss open questions and argue that cooperative …