Independent Random Matching with Many Types

Random matching models with a continuum population are widely used in economics to model decentralized environments. A number of economic models—e.g., in evolutionary game theory and monetary theory—explicitly or implicitly assume pairwise random matching with convenient propor-tionality and independence properties. This paper provides foundations to random matching models of continuum populations with infinitely many types, which are currently used in the literature without an explicit justifi-cation