We extend the notion of competitive search equilibrium to an environment with adverse selection. Uninformed principals post contracts to attract informed agents. Agents observe the contracts and apply for one, trading off the probability of matching with a principal against the terms of trade...

We extend the concept of competitive search equilibrium to environments with private information, and in particular adverse selection. Principals (e.g. employers or agents who want to buy assets) post contracts, which we model as revelation mechanisms. Agents (e.g. workers, or asset holders)...

This essay surveys the literature on directed/competitive search, covering theory and applications in, e.g., labor, housing and monetary economics. These models share features with traditional search theory, yet differ in important ways. They share features with general equilibrium theory, but...