We build a model of bank concentration. Banks and entrepreneurs meet in a credit market characterized by search frictions and negotiate repayment rates à la Nash. Banks are large in the sense that they allocate credit to more than one entrepreneur through branches and there is bank heterogeneity in terms of their cost structure. Banks
We study strategy-profness in many-to many matching markets. We prove that when firms have acyclical preferences over workers and both firms and workers have responsive preferences, the worker-optimal stable mechanism is group strategy-proof and Pareto optimal. Absent any assumption on workers’ references, an Adjusted Serial Dictatorship among workers is stable, group strategy-proof and Pareto optimal