# Fractional Matching Markets

Fractional Matching Markets

I take a decentralized approach to fractional matching with and without money. For the model with money I define and show the existence of competitive equilibria. For the model without money, while competitive equilibria may not exist, I define a version of approximate equilibrium and show existence.
From a welfare standpoint, I show that equilibrium allocations are in the core. Similarly, approximate equilibrium allocations are in the approximate version of the core.