This dissertation considers three separate applications of the theory of search and matching equilibria. The first chapter considers a partnership formation game, where agents on two sides of a market need to find a partner before a deadline, and search frictions make it difficult to find an acceptable partner. I characterize agents acceptance decisions – those with whom they would be willing to match – show existence, and provide a condition for uniqueness of equilibrium. This study provides a step towards a better understanding of matching behavior in non-stationary environments where agents have persistent type. The second chapter in this dissertation considers the import of adverse selection in a modern model of directed search in labor...