This paper studies a model in which two payers contract with one hospital. True costs per patient are not a possible basis for payment, and contracts can only be written on the basis of allocated cost. Payers choose a contract that is fully prospective or fully based on cost allocation, or a...

The paper analyzes a regulatory game between a public and a private payer to finance hospital joint costs (mainly capital and technology expenses). The public payer (inspired by the federal Medicare program) may both directly reimburse for joint costs ("pass-through" payments) and add a margin...

The authors derive optimal insurance for patients and payment method for physicians when neither the input decided by the patient (quantity of treatment) nor the input decided by the physician (effort) are contractible. The equilibrium in this third-best regime may sometimes be second best, in...