“…These studies derive optimal payment systems that simultaneously induce GPs to exert diagnostic effort and give incentives for efficient referral or treatment decisions, and discuss whether a gatekeeping system dominates free access to secondary care. Griebenow and Kifmann (2021) investigate the referral processes between a gatekeeping GP and a specialist when diagnostic signals are private information of the physicians. They show that welfare-maximising optimal contracts involve a markup either to the GP for treating patients without referral, or to the specialist for referring patients back to the GP.…”