This paper provides a mathematical foundation for independent random matching of a large population, as widely used in the economics literature. We consider both static and dynamic systems with random mutation, partial matching arising from search, and type changes induced by matching. Under...

We develop a general and unified model in which a continuum of agents conduct directed random searches for counterparties. Our results provide the first probabilistic foundation for static and dynamic models of directed search (including the matching-function approach) that are common in...

We present theorems on the existence of Berk-Nash equilibria in misspecified Markov Decision Processes with infinite action and state spaces. We extend the results of Esponda-Pouzo (2021) for finite state and action spaces to compact action spaces and sigma-compact state spaces with possibly...